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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
___________________________________ 
FORM 10-K
_______________________________________________ 
ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the fiscal year ended December 31, 20192021
OR
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the transition period from             to
Commission file number 001-38730
LINDE PLC
(Exact name of registrant as specified in its charter)
Ireland98-1448883
(State or other jurisdiction of incorporation)(I.R.S. Employer Identification No.)
10 Riverview Drive,The Priestley Centre
Danbury, Connecticut10 PriestleyPriestly Road
United States 06810Surrey Research Park
Guildford,Guilford, Surrey GU2 7XY
United Kingdom
United Kingdom
(Address of principal executive offices) (Zip Code)
(203) 837 - 2000+441483 242200
(Registrant's telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Act:
Title of each class:Trading Symbol(s)Name of each exchange on which registered:
Ordinary shares (€0.001 nominal value per share)LINNew York Stock Exchange
Securities registered pursuant to Section 12(g) of the Act: None
___________________________________ 
Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act.       Yes      No  
Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Act.      Yes     No  
Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days.                                     Yes      No  
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted and posted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit such files).                                             Yes      No  
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or emerging growth company. See the definitions of "large accelerated filer," "accelerated filer," " smaller reporting company, " and "emerging growth company" in Rule 12b-2 of the Exchange Act.
Large accelerated filer          Accelerated filer      Non- accelerated filer      Smaller reporting company   Emerging growth company
If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.                     
Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered public accounting firm that prepared or issued its audit report.                                      Yes      No  
Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Act).             Yes      No  
The aggregate market value of the voting and non-voting common stock held by non-affiliates as of June 30, 2019,2021, was approximately $108$149 billion (based on the closing sale price of the stock on that date as reported on the New York Stock Exchange).
At January 31, 2020, 532,959,7362022, 507,744,577 ordinary shares of 0.001 nominal value per share of the Registrant were outstanding.
Documents incorporated by reference:
Portions of the Proxy Statement of Linde plc for its 20202022 Annual General Meeting of Shareholders, are incorporated in Part III of this report.



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LINDE PLC
ANNUAL REPORT ON FORM 10-K
For the fiscal year ended December 31, 20192021
TABLE OF CONTENTS
 
Page
Part I
Page
Part I
Item 1:
Item 1A:
Item 1B:
Item 2:
Item 3:
Item 4:
Part II
Item 5:
Item 6:
Item 7:
Item 7A:
Item 8:
Item 9:
Item 9A:
Item 9B:
Part IIIItem 9C:
Part III
Item 10:
Item 11:
Item 12:
Item 13:
Item 14:
Part IV
Item 15:
Item 16:

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FORWARD-LOOKING STATEMENTS
This document contains “forward-looking statements” within the meaning of the Private Securities Litigation Reform Act of 1995. These forward-looking statements are identified by terms and phrases such as: anticipate, believe, intend, estimate, expect, continue, should, could, may, plan, project, predict, will, potential, forecast, and similar expressions. They are based on management’s reasonable expectations and assumptions as of the date the statements are made but involve risks and uncertainties. These risks and uncertainties include, without limitation: the ability to successfully integrate the Praxair and Linde AG businesses; regulatory or other requirements imposed as a result of the business combination of Praxair and Linde AG that could reduce anticipated benefits of the transaction; the risk that Linde plc may be unable to achieve expected synergies or that it may take longer or be more costly than expected to achieve those synergies; the performance of stock markets generally; developments in worldwide and national economies and other international events and circumstances, including trade conflicts and tariffs; changes in foreign currencies and in interest rates; the cost and availability of electric power, natural gas and other raw materials; the ability to achieve price increases to offset cost increases; catastrophic events including natural disasters, epidemics, pandemics such as COVID-19, and acts of war and terrorism; the ability to attract, hire, and retain qualified personnel; the impact of changes in financial accounting standards; the impact of changes in pension plan liabilities; the impact of tax, environmental, healthcare and other legislation and government regulation in jurisdictions in which the company operates, including the impact of the U.S. Tax Cuts and Jobs Act of 2017;operates; the cost and outcomes of investigations, litigation and regulatory proceedings; the impact of potential unusual or non-recurring items; continued timely development and market acceptance of new products and applications; the impact of competitive products and pricing; future financial and operating performance of major customers and industries served; the impact of information technology system failures, network disruptions and breaches in data security; and the effectiveness and speed of integrating new acquisitions into the business. These risks and uncertainties may cause actual future results or circumstances to differ materially from accounting principles generally accepted in the United States of America, International Financial Reporting Standards or adjusted projections, estimates or other forward-looking statements.

Linde plc assumes no obligation to update or provide revisions to any forward-looking statement in response to changing circumstances. The above listed risks and uncertainties are further described in Item 1A (Risk Factors) in this report, which should be reviewed carefully. Please consider Linde plc’s forward-looking statements in light of those risks.


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Linde plc and Subsidiaries
PART I
ITEM 1.     BUSINESS
General
Linde plc is a public limited company formed under the laws of Ireland with its principal offices in the United Kingdom.  Linde plc was formed in 2017 in accordance with the requirements of the business combination agreement, dated June 1, 2017, as amended, between Linde plc, Praxair, Inc. ("Praxair")Kingdom and Linde Aktiengesellschaft ("Linde AG"). Effective October 31, 2018, the business combination was completed and Linde plc is comprised of the businesses of Praxair and Linde AG (hereinafter the combined group will be referred to as "the company" or "Linde").
The business combination brought together two leading companies in the global industrial gases industry, leveraging the proven strengths of each.  Linde believes the merger will combine Linde AG’s long-held expertise in technology with Praxair’s efficient operating model, thus creating a global leader. The company is expected to have strong positions in key geographies and end markets that will create a more diverse and balanced global portfolio.
United States. Linde is the largest industrial gas company worldwide and is a major technological innovator in the industrial gases industry. Its primary products in its industrial gases business are atmospheric gases (oxygen, nitrogen, argon, and rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, and acetylene). The company also designs and builds equipment that produces industrial gases primarily for internal use and offers customers a wide range of gas production and processing services such as olefin plants, natural gas plants, air separation plants, hydrogen and synthesis gas plants and other types of plants.
Linde serves a diverse group of industries including healthcare, petroleum refining,chemicals and energy, manufacturing, metals and mining, food and beverage, carbonation, fiber-optics, steel making, aerospace, chemicals, electronics and water treatment.electronics.
In 2018, the company, Praxair and Linde AG entered into various agreements with regulatory authorities to satisfy antitrust requirements to secure approval to consummate the business combination. These agreements required the sale of the majority of Praxair's European industrial gases business (completed on December 3, 2018), the majority of Linde AG's Americas industrial gases business (completed on March 1, 2019), select assets of Linde AG's South Korea industrial gases business (completed April 30, 2019), select assets of Praxair's Indian industrial gases business (completed July 12, 2019), select assets of Linde AG's Indian industrial gases business (completed December 16, 2019) as well as certain divestitures of other Praxair and Linde AG businesses in Asia that are expected to be sold in 2020. As of December 31, 2018 and until the completion of the majority of such divestitures, Linde AG and Praxair were obligated to operate their businesses globally as separate and independent companies, and not coordinate any of their commercial operations. The U.S. Federal Trade Commission's (“FTC”) hold separate order (“HSO”) restrictions were lifted March 1, 2019, concurrent with the sale of the required merger-related divestitures in the United States. See Note 4 to the consolidated financial statements for additional information relating to divestitures.
Praxair was determined to be the accounting acquirer in the business combination. Accordingly, the historical financial statements of Praxair for the periods prior to the business combination are considered to be the historical financial statements of the company. The results of Linde AG are included in Linde's consolidated results from the date of the completion of the business combination forward. During 2018, the company reported its continuing operations in six reporting segments under which it managed its operations, assessed performance, and reported earnings: North America, South America, Asia, Europe, Surface Technologies and Linde AG. Effective with the lifting of the hold separate order on March 1, 2019, new operating segments were established. Linde’s industrial gases operations are managed on a geographic basis, which represents three of the company's new reportable segments - Americas, EMEA (Europe/Middle East/Africa), and APAC (Asia/South Pacific); a fourth reportable segment which represents the company's Engineering business, designs and manufactures equipment for air separation and other industrial gas applications specifically for end customers and is managed on a worldwide basis operating in all geographic segments. Other consists of corporate costs and a few smaller businesses, which individually do not meet the quantitative thresholds for separate presentation.
Linde’s sales were $30,793 million, $27,243 million, and $28,228 million $14,836 million,for 2021, 2020, and $11,358 million for 2019,, 2018, and 2017, respectively. Refer to Item 7, Management's Discussion and Analysis, for a discussion of consolidated sales and Note 2018 to the consolidated financial statements for additional information related to Linde’s reportable segments.
Industrial Gases Products and Manufacturing Processes
Atmospheric gases are the highest volume products produced by Linde. Using air as its raw material, Linde produces oxygen, nitrogen and argon through several air separation processes of which cryogenic air separation is the most prevalent. Rare gases, such as krypton, neon and xenon, are also produced through cryogenic air separation. As a pioneer

in the industrial gases industry, Linde is a leader in developing a wide range of proprietary and patented applications and supply systems technology. Linde also led the development and commercialization of non-cryogenic air separation technologies for the production of industrial gases. These technologies open important new markets and optimize production capacity for the company by lowering the cost of supplying industrial gases. These technologies include proprietary vacuum pressure swing adsorption (“VPSA”) and membrane separation to produce gaseous oxygen and nitrogen, respectively.
Process gases, including carbon dioxide, hydrogen, carbon monoxide, helium, specialty gases and acetylene are produced by methods other than air separation. Most carbon dioxide is purchased from by-product sources, including chemical plants, refineries and industrial processes or is recovered from carbon dioxide wells. Carbon dioxide is processed in Linde’s plants to produce commercial and food-grade carbon dioxide.
Hydrogen is produced from a range of feedstocks using an array of different technologies. Despite hydrogen being an invisible molecule, colors are often used to designate and differentiate between the production processes used to produce the molecule. The vast majority of hydrogen currently produced by Linde is what is termed gray hydrogen and is derived from natural gas or methane, using steam methane reformation technology. Linde has multiple technologies to produce other types of hydrogen, including blue and green, which are both considered types of clean energy. Blue hydrogen is produced by capturing the carbon emissions from the hydrogen plant and either utilizing them in a way that stops them from being emitted or sequestering them in the subsurface for the long term. Green hydrogen is produced by electrolysis using renewable energy or from the steam methane reforming of biomethane. Low carbon intensity, high-purity hydrogen is also produced by purifying and recovering by-product hydrogen sources from the chemical and petrochemical industries.

Helium is sourced from certain helium-rich natural gas streams in the United States, with additional supplies being acquired from outside the United States. Carbon monoxide can be produced by either steam methane reforming or auto-thermal reforming of natural gas or other feed streams such as naphtha. Hydrogen is also produced by purifying by-product sources obtained from the chemical and petrochemical industries. Acetylene is primarily sourced as a chemical by-product, but may also be produced from calcium carbide and water.
Industrial Gases Distribution
There are three basic distribution methods for industrial gases: (i) on-site or tonnage; (ii) merchant or bulk liquid; and (iii) packaged or cylinder gases. These distribution methods are often integrated, with products from all three supply modes coming from the same plant. The method of supply is generally determined by the lowest cost means of meeting the customer’s needs, depending upon factors such as volume requirements, purity, pattern of usage, and the form in which the product is used (as a gas or as a cryogenic liquid).
On-site. Customers that require the largest volumes of product (typically oxygen, nitrogen and hydrogen) and that have a relatively constant demand pattern are supplied by cryogenic and process gas on-site plants. Linde constructs plants on or
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adjacent to these customers’ sites and supplies the product directly to customers by pipeline. On-site product supply contracts generally are total requirement contracts with terms typically ranging from 10-20 years and containing minimum purchase requirements and price escalation provisions. Many of the cryogenic on-site plants also produce liquid products for the merchant market. Therefore, plants are typically not dedicated to a single customer. Advanced air separation processes allow on-site delivery to customers with smaller volume requirements. Customers using these systems usually enter into requirement contracts with terms typically ranging from ten to twenty years.
Merchant. The merchant business is generally associated with distributable liquid oxygen, nitrogen, argon, carbon dioxide, hydrogen and helium. The deliveries generally are made from Linde’s plants by tanker trucks to storage containers at the customer's site which are owned and maintained by Linde and leased to the customer. Due to distribution cost, merchant oxygen and nitrogen generally have a relatively small distribution radius from the plants at which they are produced. Merchant argon, hydrogen and helium can be shipped much longer distances. The customer agreements used in the merchant business are usually three to seven-year requirement contracts.
Packaged Gases. Customers requiring small volumes are supplied products in metal containers called cylinders, under medium to high pressure. Packaged gases include atmospheric gases, carbon dioxide, hydrogen, helium, acetylene and related products. Linde also produces and distributes in cylinders a wide range of specialty gases and mixtures. Cylinders may be delivered to the customer’s site or picked up by the customer at a packaging facility or retail store. Packaged gases are generally sold under one to three-year supply contracts and through purchase orders.
A substantial amount of the cylinder gases sold in the United States are distributed by independent distributors that buy merchant gases in liquid form and repackage the products in their facilities. Packaged gas distributors, including Linde, also distribute hardgoods and welding equipment purchased from independent manufacturers. Over time, Linde has acquired a number of independent industrial gases and welding products distributors at various locations in the United States and continues to sell merchant gases to other independent distributors. Between its own distribution business, joint ventures and sales to independent distributors, Linde is represented in 48 states, the District of Columbia and Puerto Rico.
Engineering
Linde’s Engineering business has a global presence, with its focus on market segments such as olefin, natural gas, air separation, hydrogen and synthesis gas plants. The company utilizes its own extensive process engineering know-how in the planning, project developmentdesign and construction of highly efficient turnkey industrial plants for the production and associated services. Lindeprocessing of gases. With its state-of-the-art sustainable technologies Engineering helps customers avoid, capture and utilize CO2 emissions. Its technology portfolio covers the entire value chain for production, liquefaction, storage, distribution and application of hydrogen which supports the transition to clean energy. Its digital services and solutions increase plant efficiency and performance.

Linde's plants are used in a wide variety of fields: in the petrochemical and chemical industries, in refineries and fertilizer plants, to recover air gases, to produce hydrogen and synthesis gases, to treat natural gas and to produce noble gases. The Engineering business either supplies plant components and services directly to the customer or to the industrial gas business of Linde which operates the plants on behalf of the customer under a long-term gases supply contract.


Inventories – Linde carries inventories of merchant and cylinder gases hardgoods and coatings materialshardgoods to supply products to its customers on a reasonable delivery schedule. On-site plants and pipeline complexes have limited inventory. Inventory obsolescence is not material to Linde’s business.

Customers – Linde is not dependent upon a single customer or a few customers.

International – Linde is a global enterprise with approximately 70% of its 20192021 sales outside of the United States. The company also has majority or wholly owned subsidiaries that operate in approximately 45 European, Middle Eastern and African countries (including Germany, France, Sweden, the Republic of South Africa, and the United Kingdom)Kingdom (U.K.)); approximately 20 Asian and South Pacific countries (including China, Taiwan,Australia, India, South Korea and Australia)Thailand); and approximately 20 countries in North and South America (including Canada, Mexico and Brazil).
The company also has equity method investments operating in Europe, Asia, Africa, the Middle East, and North America.
Linde’s internationalnon-U.S. business is subject to risks customarily encountered in foreignnon-U.S. operations, including fluctuations in foreign currency exchange rates, import and export controls, and other economic, political and regulatory policies of local governments. Also, see Item 1A. “Risk Factors” and Item 7A. “Quantitative and Qualitative Disclosures About Market Risk.”
Seasonality – Linde’s business is generally not subject to seasonal fluctuations to any significant extent.
Research and Development – Linde’s research and development is directed toward development of gas processing, separation and liquefaction technologies, and clean energy technologies; improving distribution of industrial gases and the development of new markets and applications for these gases. This results in the development of new advanced air separation, hydrogen, synthesis gas, natural gas, adsorption and chemical process technologiestechnologies; novel clean energy and carbon management solutions; as well as the frequent introduction of new industrial gas applications. Research and
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development is primarily conducted at Pullach,Munich, Germany, Tonawanda, New York, Burr Ridge, Illinois and Shanghai, China.
Patents and Trademarks – Linde owns or licenses a large number of patents that relate to a wide variety of products and processes. Linde’s patents expire at various times over the next 20 years. While these patents and licenses are considered important to its individual businesses, Linde does not consider its business as a whole to be materially dependent upon any one particular patent, or patent license, or family of patents. Linde also owns a large number of trademarks, of which the "Linde" trademark is the most significant.
Raw Materials and Energy Costs – Energy is the single largest cost item in the production and distribution of industrial gases. Most of Linde’s energy requirements are in the form of electricity, natural gas and diesel fuel for distribution. The company mitigates electricity, natural gas, and hydrocarbon price fluctuations contractually through pricing formulas, surcharges, and cost pass–through and tolling arrangements.
The supply of energy has not been a significant issue in the geographic areas where the company conducts business. However, energy availability and price is unpredictable and may pose unforeseen future risks.
For carbon dioxide, carbon monoxide, helium, hydrogen and specialty gases, and surface technologies, raw materials are largely purchased from outside sources. Linde has contracts or commitments for, or readily available sources of, most of these raw materials; however, their long-term availability and prices are subject to market conditions.
Competition – Linde participates in highly competitive markets in the industrial gases engineering and healthcare businesses,engineering, which are characterized by a mixture of local, regional and global players, all of which exert competitive pressure on the parties. In locations where Linde has pipeline networks, which enable the company to provide reliable and economic supply of products to larger customers, Linde derives a competitive advantage.
Competitors in the industrial and medical gases industry include global and regional companies such as L’Air Liquide S.A., Air Products and Chemicals, Inc., Messer Group GmbH, Mitsubishi Chemical Holdings Corporation (through Taiyo Nippon Sanso Corporation) as well as an extensive number of small to medium size independent industrial gas companies which compete locally as producers or distributors. In addition, a significant portion of the international gases market relates to customer-owned plants.

Employees and Labor RelationsAsThe company sources talent from an ever-changing and competitive environment. The ability to source and retain qualified and committed employees is a prerequisite for the company’s success, and represents a general risk for Linde.
The Board of December 31, 2019, Directors ("Board") has established a strategic business objective to maintain world-class standards in talent management. Executive variable compensation is assessed annually based on performance in several strategic non-financial areas, including talent management. The Human Capital Committee assists the Board in its oversight of Linde’s compensation and incentive policies and programs, and management development and succession, particularly in regard to reviewing executive compensation for Linde’s executive officers. The Human Capital Committee also periodically reviews the company’s diversity policies and objectives, and programs to achieve those objectives. The global head of Human Resources reports to the Chief Executive Officer ("CEO"). A global leader of Diversity and Inclusion reports to the head of Human Resources.
Linde had 79,886 employees worldwide.has aligned diversity and inclusion with its business strategies and implemented diversity action planning into business process and performance management. Diversity and inclusion are line management responsibilities and Linde seeks competitive advantage through proactive management of its talent pipeline, procurement and recruiting processes. Linde provides equal employment opportunity, and recruits, hires, promotes and compensates people based solely on their merit and ability.
Employees receive a competitive salary and variable compensation components based on merit and depending on their position. Linde has collective bargaining agreements with unions at numerous locations throughout the world, which expire at various dates.world. Additional benefits are offered such as occupational pensions and contributions towards health insurance or medical screening, reflecting regional conditions and local competition. Managers’ compensation is based on performance. Senior managers participate directly in the company’s growth in value through the Long Term Incentive Plan of Linde considers relations withplc. From time to time, Linde may introduce special compensation schemes to recognize or reward specific individuals such as the one implemented in 2020 for global front-line employees. Work-life balance is promoted by providing a range of opportunities that are based on the overall local conditions. Linde also invests in professional development of its employees to be satisfactory.through formal and on-the-job training.

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As of December 31, 2021, Linde had 72,327 employees worldwide comprised of approximately 27 percent women and 73 percent men . The total professional workforce comprised of approximately 28 percent women and 72 percent men.

Environment – Information required by this item is incorporated herein by reference to the section captioned “Management’s Discussion and Analysis – Environmental Matters” in Item 7 of this 10-K.

Available Information – The company makes its periodic and current reports available, free of charge, on or through its website, www.linde.com, as soon as practicable after such material is electronically filed with, or furnished to, the Securities and Exchange Commission ("SEC"). Investors may also access from the company website other investor information such as press releases and presentations. Information on the company’s website is not incorporated by reference herein. In addition, the public may read and copy any materials filed with the SEC free of charge at the SEC’s website, www.sec.gov, that contains reports, proxy information statements and other information regarding issuers that file electronically.
Executive Officers – The following Executive Officers have been elected by the Board of Directors and serve at the pleasure of the Board. It is expected that the Board will elect officers annually following each annual meeting of shareholders.
Stephen F. Angel, 64, is66, has been Chief Executive Officer and a director of Linde since 2018. Effective March 1, 2022, Mr. Angel will retire from the position of Chief Executive Officer and assume the role of Chairman of the Board of Directors of Linde. Prior to his appointment as Chief Executive Officer of Linde. Prior to that,Linde, Mr. Angel was Chairman, President and CEO of Praxair, Inc. since 2007. Mr. Angel joined Praxair in 2001 as an executive vice presidentExecutive Vice President and was named presidentPresident and chief operating officerChief Operating Officer in February 2006. Prior to joining Praxair, Mr. Angel spent 22 years in a variety of management positions with General Electric. Mr. Angel serves on the board of directors of PPG Industries where he chairs the Human Capital Management and Compensation Committee and serves on the U.S.-China BusinessNominating and Governance Committee. He also serves on the Hydrogen Council and is a member of The Business Council. Angel received a bachelor of science degree
Sean Durbin, 51, became Executive Vice President, EMEA in civilApril 2021. Previously, he served as Senior Vice President, Global Functions beginning in July 2020. Durbin joined Praxair, Inc. in 1993 and served in various roles across operations, engineering, project management, business development and sales. In recent years, he has held leadership positions including Business President, Region Europe South from North Carolina State University2019 to 2020, and an MBAPresident, Praxair Canada Inc. from Loyola College in Baltimore.
Dr. Christian Bruch, age 49, became an executive officer and a member of the Management Committee of Linde in connection with the business combination in October 2018. He is also the Head of Engineering for Linde and is a member of the Executive Board of Linde AG. Dr. Bruch joined The Linde Group's Gases Division in 2004 as a Business Development Manager for Airgases. In 2006 he became the Head of Tonnage Business Development for air separation projects in Europe, the Middle East and Africa. In 2009 he transferred2013 to the Engineering Division, where he was responsible for the product line Air Separation Plants. In 2013 he was appointed a member of the Board of Directors at the Engineering Division, a position he held until becoming a member of the Executive Board of Linde AG at the beginning of 2015 responsible for the Linde Engineering Division and the Corporate & Support Function Technology & Innovation. Prior to joining The Linde Group, Dr. Bruch worked for the Swiss Institute of Technology in Zürich and for the RWE Group in Essen, Germany.2019.
Kelcey E. Hoyt, age 50,52, became the Chief Accounting Officer of Linde in connection with the business combination in October 2018. Prior to this, she served as Vice President and Controller of Praxair, Inc. effectivebeginning in August 1, 2016. Prior to becoming Controller, she served as Praxair’s Director of Investor Relations since 2010. She joined Praxair in 2002 and served as Director of Corporate Accounting and SEC Reporting through 2008, and later served as Controller for various divisions within Praxair’s North American Industrial Gas business. Previously, she had five years of experiencewas in audit at KPMG, LLP.
Sanjiv Lamba, age 55, became an executive officer and a member of the Management Committee57, was appointed Chief Operating Officer of Linde in connection witheffective January 1, 2021, and effective March 1, 2022, Mr. Lamba will become Chief Executive Officer of Linde. Previously, he served as the business combinationExecutive Vice President, APAC, beginning in October 2018. He is the Head of APAC.Prior to that, Mr. Lamba was appointed a Member of the Executive Board of Linde AG in 2011, responsible for the Asia, Pacific segment of the Gases Division, for Global Gases Businesses Helium & Rare Gases, Electronics as well as Asia Joint Venture Management. Mr. Lamba started his career 1989 with BOC India in Finance where he progressed to become Director of Finance. He wasFinance before being appointed as Managing Director for BOC’s India’s business in 2001. Throughout his years with BOC/Linde, he has worked in various roles across a number of different geographies including Germany, the UK, Singapore and India where he has held numerous roles across the organization.India.
Eduardo F. Menezes, age 56, became an executive officer and a member of the Management Committee of Linde in connection with the business combination in October 2018. He is the Head of EMEA. Mr. Menezes previously served asJuergen Nowicki, 58, was appointed Executive Vice President of Praxair, Inc. since 2012, responsible for Praxair Europe, Praxair Mexico, Praxair South America and Praxair Asia. From 2010CEO, Linde Engineering in April 2020. Prior to March 2011,this, he was aSenior Vice President, of Praxair with responsibility for theCommercial, Linde Engineering. Mr. Nowicki joined Linde in 1991 as an Internal Auditor and held various positions in Finance and Controlling. In 2002, he was appointed CFO Linde Gas North American Industrial Gases businessAmerica, USA, and was named senior vice presidentHead of Finance and Control for The Linde Group in 2011. From 2007 to 2010, he was President2006. Nowicki assumed the role of Praxair Europe. He served as Managing Director, of Praxair’s businessLinde Engineering in Mexico from 2004 to 2007, as Vice President and General Manager for Praxair Distribution, Inc. from 2003 to 2004 and as Vice President, U.S. West Region, for North American Industrial Gases, from 2000 to 2003.2011.
Dr. Andreas Opfermann, 48,50, became Executive Vice President, ofClean Energy in June 2021. Previously, he was Executive Vice President Americas and a member of the Management Committee of Lindebeginning in November 2019. Prior to this, from 2016-2019, he was the regional business unit leader for Linde’s North European region. Dr. Opfermann joined Linde in 2005 initially in Corporate Strategy. He has subsequently served as Head of Innovation Management from 2008 to 2010, Head of Clean Energy and Innovation Management from 2010 to 2014, and Head of Technology and Innovation from 2015 to 2016, responsible for all Linde research and development. Before joining Linde, he held positions at McKinsey & Company.

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Anne K. Roby, age 55, became an executive officer and a member of the Management CommitteeJohn Panikar, 54, was appointed Executive Vice President, APAC of Linde effective in connection with the business combination inJanuary 2021. Previously, he served as President UK & Africa of Linde since October 2018. She is the Head of Global Functions. PriorFrom 2014 to this, Dr. Roby served as Senior Vice2018, Mr. Panikar was President of Praxair Inc. since January 1, 2014, responsible for Global Supply Systems, R&D, Global Market Development, Global Operations Excellence, Global Strategic Sales, Global Procurement, Sustainability and Safety, Health and Environment. From 2011to 2013, she served as President of Praxair Asia, responsible for Praxair’s industrial gases business in China, India, South Korea and Thailand as well as the electronics market globally. In 2010, Dr. Roby became President of Praxair Electronics, after having served as Vice President, Global Sales, for Praxair from 2009 to 2010. Prior to this, she was Vice President of the Praxair U.S. South Region from 2006 to 2009. Dr. Roby joinedAsia. He began his career with Praxair in 1991 as a development associate inan Applications Engineer. Over the company’s R&D organizationyears, Mr. Panikar held increasingly responsible positions including Manager of Site Services and was promoted to other positionsEquipment, Business Development Director for Praxair Asia, Managing Director of increasing responsibility.Praxair India, VP, South Region, North American Industrial Gases and President, Praxair Distribution, Inc.
MattMatthew J. White, age 47,49, became an executive officerExecutive Vice President and a member of the Management CommitteeChief Financial Officer of Linde in connection with the business combination in October 2018. He is the Chief Financial Officer for Linde. He previously served as the Senior Vice President and Chief Financial Officer of Praxair, Inc. since January 1, 2014. Prior to this, Mr. White was President of Praxair Canada from 2011-2014. He joined Praxair in 2004 as finance director for the company’s largest business unit, North American Industrial Gases. In 2008, he became Vice President and Controller of Praxair, Inc., then was named Vice President and Treasurer in 2010. Before joining Praxair, White was vice president, finance, at Fisher Scientific and before that he held various financial positions, including group controller, at GenTek, a manufacturing and performance chemicals company.

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ITEM 1A.     RISK FACTORS

Due to the size and geographic reach of the company’s operations, a wide range of factors, many of which are outside of the company’s control, could materially affect the company’s future operations and financial performance. Management believes the following risks may significantly impact the company:
The company may fail to realize the anticipated strategic and financial benefits sought from the business combination.COVID-19 global pandemic could materially adversely affect our results of operations.
The company may not realize allCOVID-19 global pandemic, including resurgences and variants of the anticipated benefitsvirus that causes COVID-19, and efforts to reduce its spread have led, and may continue to lead to, significant changes in levels of economic activity and significant disruption and volatility in global markets. COVID-19 has resulted in authorities implementing numerous measures to try to contain the virus, such as travel bans and restrictions, quarantines, shelter in place orders, and shutdowns. These measures have impacted and may further impact our workforce and operations, the operations of our customers, vendors and suppliers. There is considerable uncertainty regarding such measures and potential future measures, and restrictions on our access to our manufacturing facilities or on our support operations or workforce, or similar limitations for our vendors and suppliers, and restrictions or disruptions of transportation, such as reduced availability of air transport, port closures, and increased border controls or closures, could limit our capacity to meet customer demand and have a material adverse effect on our results of operations. These restrictions and disruptions could affect our performance on our contracts.

Furthermore, COVID-19 has impacted and may further impact the broader economies of affected countries, including negatively impacting economic growth, the proper functioning of financial and capital markets, foreign currency exchange rates, and interest rates. Risks related to economic conditions are described in our Principal Risks and Uncertainties titled “Weakening economic conditions in markets in which Linde does business combination between Praxair, Inc.may adversely impact its financial results and/or cash flows” and Linde AG, which was completed on October 31, 2018. The success of the business combination will depend on, among other things, the company’s“Macroeconomic factors may impact Linde’s ability to combine Praxair, Inc.’s and Linde AG’s businesses in a manner that facilitates growth and realizesobtain financing or increase the anticipated annual synergies and cost reductions without adversely affecting current revenues and investments in future growth. The actual integration will continue to involve complex operational, technological and personnel-related challenges. Difficulties in the integration of the businesses,obtaining financing which may result in significant costs and delays, include:adversely impact Linde’s financial results and/or cash flows."
managing a significantly larger combined group;
aligning and executing the strategy of the company;
integrating and unifying the offerings and services available to customers and coordinating distribution and marketing efforts in geographically separate organizations;
coordinating corporate and administrative infrastructures and aligning insurance coverage;
coordinating accounting, reporting, information technology, communications, administration and other systems;
addressing possible differences in corporate cultures and management philosophies;
the company being subject to Irish laws and regulations and legal action in Ireland;
coordinating the compliance program and uniform financial reporting, information technology and other standards, controls, procedures and policies;
the implementation, ultimate impact and outcome of post-completion reorganization transactions, which may be delayed;
unforeseen and unexpected liabilities related to the business combination or the combined businesses;
managing tax costs or inefficiencies associated with integrating operations;
identifying and eliminating redundant and underperforming functions and assets; and
effecting actions that may be required in connection with obtaining regulatory approvals.

These and other factors could result in increased costs and diversion of management’s time and energy, as well as decreases in the amount of expected revenue and earnings. The integration process and other disruptions resulting from the business combination may also adversely affect the company’s relationships with employees, suppliers, customers, distributors, licensors and others with whom Praxair, Inc. and Linde AG have business or other dealings, and difficulties in integrating the businesses could harm the reputation of the company.
If the company is not able to successfully integrate the businesses of Praxair, Inc. and Linde AG in an efficient, cost-effective and timely manner, the anticipated benefits and cost savings of the business combination may not be realized fully, or at all, or may take longer to realize than expected.
Weakening economic conditions in markets in which Linde does business may adversely impact its financial results and/or cash flows.

Linde serves a diverse group of industries across more than 100 countries, which generally leads to financial stability through various business cycles. However, a broad decline in general economic or business conditions in the industries served by its customers could adversely affect the demand for Linde’s products and impair the ability of its customers to satisfy their obligations to Linde, resulting in uncollected receivables and/or unanticipated contract terminations or project delays. For example, global political and economic uncertainty could reduce investment activities of Linde’s customers, which could adversely affect Linde’s business.

In addition, many of Linde’s customers are in businesses that are cyclical in nature, such as the chemicals, electronics, metals and energy industries. Downturns in these industries may adversely impact Linde during these cycles. Additionally, such conditions could impact the utilization of Linde’s manufacturing capacity which may require it to

recognize impairment losses on tangible assets such as property, plant and equipment, as well as intangible assets such as goodwill, customer relationships or intellectual property.

Increases in the cost of energy and raw materials and/or disruption in the supply of these materials could result in lost sales or reduced profitability.
Energy is the single largest cost item in the production and distribution of industrial gases. Most of Linde’s energy requirements are in the form of electricity, natural gas and diesel fuel for distribution. Linde attempts to minimize the financial impact of variability in these costs through the management of customer contracts and reducing demand through operational productivity and energy efficiency. Large customer contracts typically have escalation and pass-through clauses to recover energy and feedstock costs. Such attempts may not successfully mitigate cost variability, which could negatively impact Linde’s financial condition or results of operations. The supply of energy has not been a significant issue in the geographic areas where Linde conducts business. However, regional energy conditions are unpredictable and may pose future risk.
For carbon dioxide, carbon monoxide, helium, hydrogen and specialty gases, and surface technologies, raw materials are largely purchased from outside sources. Where feasible, Linde sources several of these raw materials, including carbon dioxide, hydrogen and calcium carbide, as chemical or industrial byproducts. In addition, Linde has contracts or commitments for, or readily
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available sources of, most of these raw materials; however, their long-term availability and prices are subject to market conditions. A disruption in supply of such raw materials could impact Linde’s ability to meet contractual supply commitments.
Linde’s international operations are subject to the risks of doing business abroad and international events and circumstances may adversely impact its business, financial condition or results of operations.
Linde has substantial international operations which are subject to risks including devaluations in currency exchange rates, transportation delays and interruptions, political and economic instability and disruptions, restrictions on the transfer of funds, trade conflicts and the imposition of duties and tariffs, import and export controls, changes in governmental policies, labor unrest, possible nationalization and/or expropriation of assets, domesticchanges in U.S. and internationalnon-U.S. tax lawspolicies and compliance with governmental regulations. These events could have an adverse effect on the international operations of Linde in the future by reducing the demand for its products, decreasing the prices at which it can sell its products, reducing the revenue from international operations or otherwise having an adverse effect on its business. For example, Linde has a meaningful presence in the U.K. and the U.K.’s ongoing exit process from the EU has continued to cause, and may in the future cause, political and economic uncertainty, which could have an adverse impact on the markets which Linde supplies.
Currency exchange rate fluctuations and other related risks may adversely affect Linde's results.
Because a significant portion of Linde's revenue is denominated in currencies other than its reporting currency, the U.S. dollar, changes in exchange rates will produce fluctuations in revenue, costs and earnings and may also affect the book value of assets and liabilities and related equity. Although the company from time to time utilizes foreign exchange forward contracts to hedge these exposures, its efforts to minimize currency exposure through such hedging transactions may not be successful depending on market and business conditions. As a result, fluctuations in foreign currency exchange rates could adversely affect Linde’s financial condition, results of operations or cash flows.
Macroeconomic factors may impact Linde’s ability to obtain financing or increase the cost of obtaining financing which may adversely impact Linde’s financial results and/or cash flows.
Volatility and disruption in the U.S., European and global credit and equity markets, from time to time, could make it more difficult for Linde to obtain financing for its operations and/or could increase the cost of obtaining financing. In addition, Linde’s borrowing costs can be affected by short- and long-term debt ratings assigned by independent rating agencies which are based, in significant part, on its performance as measured by certain criteria such as interest coverage and leverage ratios. A decrease in these debt ratings could increase the cost of borrowing or make it more difficult to obtain financing.

An impairment of goodwill or intangible assets could negatively impact the company's financial results.
As of December 31, 2019,2021, the net carrying value of goodwill and other indefinite-lived intangible assets was $27 billion and $2 billion, respectively, primarily as a result of the business combination and the related acquisition method of accounting applied to Linde AG. In accordance with generally accepted accounting principles, the company periodically assesses these assets to determine if they are impaired. Significant negative industry or economic trends, disruptions to business, unexpected significant changes or planned changes in use of the assets, divestitures and sustained market capitalization declines may result in recognition of impairments to goodwill or other indefinite-lived assets. Any charges relating to such impairments could have a material adverse impact on Linde's results of operations in the periods recognized.
Catastrophic events could disrupt the operations of Linde and/or its customers and suppliers and may have a significant adverse impact on the results of operations.
The occurrence of catastrophic events or natural disasters such as extreme weather, including hurricanes and floods; health epidemics; and acts of war or terrorism, could disrupt or delay Linde’s ability to produce and distribute its products to customers and could potentially expose Linde to third-party liability claims. In addition, such events could impact Linde’s customers and suppliers resulting in temporary or long-term outages and/or the limitation of supply of energy and other raw materials used in normal business operations. Linde evaluates the direct and indirect business risks, consults with vendors, insurance providers and industry experts, makes investments in suitably resilient design and technology, and conducts regular reviews of the business risks with management. Despite these steps, however, these situations are outside Linde’s control and may have a significant adverse impact on its financial results.
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The inability to attract and retain qualified personnel may adversely impact Linde’s business.
If Linde fails to attract, hire and retain qualified personnel, it may not be able to develop, market or sell its products or successfully manage its business. Linde is dependent upon a highly skilled, experienced and efficient workforce to be successful. Much of Linde’s competitive advantage is based on the expertise and experience of key personnel regarding marketing, technology, manufacturing and distribution infrastructure, systems and products. The inability to attract and hire qualified individuals or the loss of key employees in very skilled areas could have a negative effect on Linde’s financial results.
If Linde fails to keep pace with technological advances in the industry or if new technology initiatives do not become commercially accepted, customers may not continue to buy Linde’s products and results of operations could be adversely affected.
Linde’s research and development is directed toward developing new and improved methods for the production and distribution of industrial gases, the design and construction of plants and toward developing new markets and applications for the use of industrial and process gases. This results in the introduction of new applications and the development of new advanced air separation process technologies. As a result of these efforts, Linde develops new and proprietary technologies and employs necessary measures to protect such technologies within the global geographies in which Linde operates. These technologies help Linde to create a competitive advantage and to provide a platform to grow its business. If Linde’s research and development activities do not keep pace with competitors or if Linde does not create new technologies that benefit customers, future results of operations could be adversely affected.
Risks related to pension benefit plans may adversely impact Linde’s results of operations and cash flows.
Pension benefits represent significant financial obligations that will be ultimately settled in the future with employees who meet eligibility requirements. Because of the uncertainties involved in estimating the timing and amount of future payments and asset returns, significant estimates are required to calculate pension expense and liabilities related to Linde’s plans. Linde utilizes the services of independent actuaries, whose models are used to facilitate these calculations. Several key assumptions are used in the actuarial models to calculate pension expense and liability amounts recorded in the consolidated financial statements. In particular, significant changes in actual investment returns on pension assets, discount rates, or legislative or regulatory changes could impact future results of operations and required pension contributions.

Operational risks may adversely impact Linde’s business or results of operations.
Linde’s operating results are dependent on the continued operation of its production facilities and its ability to meet customer contract requirements and other needs. Insufficient or excess capacity threatens Linde’s ability to generate competitive profit margins and may expose Linde to liabilities related to contract commitments. Operating results are also dependent on Linde’s ability to complete new construction projects on time, on budget and in accordance with performance requirements. Failure to do so may expose Linde’s business to loss of revenue, potential litigation and loss of business reputation.
Also inherent in the management of Linde’s production facilities and delivery systems, including storage, vehicle transportation and pipelines, are operational risks that require continuous training, oversight and control. Material operating failures at production, storage facilities or pipelines, including fire, toxic release and explosions, or the occurrence of vehicle transportation accidents could result in loss of life, damage to the environment, loss of production and/or extensive property damage, all of which may negatively impact Linde’s financial results.
Linde may be subject to information technology system failures, network disruptions and breaches in data security.
Linde relies on information technology systems and networks for business and operational activities, and also stores and processes sensitive business and proprietary information in these systems and networks. These systems are susceptible to outages due to fire, flood, power loss, telecommunications failures, viruses, break-ins and similar events, or breaches of security.
Linde has taken steps to address these risks and concerns by implementing advanced security technologies, internal controls, network and data center resiliency and recovery process. Despite these steps, however, operationalour information technology systems have in the past been and in the future will likely be subject to increasingly sophisticated cyber attacks.
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Operational failures and breaches of security from increasingly sophisticated cyber threatssuch attempts could lead to the loss or disclosure of confidential information or personal data belonging to Linde or our employees and customers or suppliers. These failures and breaches could result in business interruption or malfunction and lead to legal or regulatory actions and havethat could result in a material adverse impact on Linde’s operations, reputation and financial results. To date, such attempts have not had any significant impact on Linde's operations or financial results.
The inability to effectively integrate acquisitions or collaborate with joint venture partners could adversely impact Linde’s financial position and results of operations.
In addition to the business combination, Linde has evaluated and expects to continue to evaluate, a wide array of potential strategic acquisitions and joint ventures. Many of these transactions, if consummated, could be material to its financial condition and results of operations. In addition, the process of integrating an acquired company, business or group of assets may create unforeseen operating difficulties and expenditures. Although historically Linde has been successful with its acquisition strategy and execution, the areas where Linde may face risks include:
the need to implement or remediate controls, procedures and policies appropriate for a larger public company at companies that prior to the acquisition lacked these controls, procedures and policies;
diversion of management time and focus from operating existing business to acquisition integration challenges;
cultural challenges associated with integrating employees from the acquired company into the existing organization;
the need to integrate each company’s accounting, management information, human resources and other administrative systems to permit effective management;
difficulty with the assimilation of acquired operations and products;
failure to achieve targeted synergies and cost reductions; and
inability to retain key employees and business relationships of acquired companies.

Foreign acquisitions and joint ventures involve unique risks in addition to those mentioned herein, including those related to integration of operations across different cultures and languages, currency risks and the particular economic, political and regulatory risks associated with specific countries.

Also, the anticipated benefit of potential future acquisitions may not materialize. Future acquisitions or dispositions could result in the incurrence of debt, contingent liabilities or amortization expenses, or impairments of goodwill, any of which could adversely impact Linde’s financial results.

Linde is subject to a variety of international laws and government regulations and changes in, or failure to comply with, these laws or regulations could have an adverse impact on the company’s business, financial position and results of operations.
Linde is subject to regulations in the following areas, among others:
environmental protection, including climate change and energy efficiency laws and policies;
domesticU.S. and internationalnon-U.S. tax laws and currency controls;
safety;
securities laws applicable in the United States, the European Union, Germany, Ireland, and other jurisdictions;
trade and import/export restrictions, as well as economic sanctions laws;
antitrust matters;
data protection;
global anti-bribery laws, including the U.S. Foreign Corrupt Practices Act; and
healthcare regulations.

Changes in these or other regulatory areas such as evolving environmental legislation in China, may impact Linde’s profitability and may give rise to new or increased compliance risks: it may become more complex and costly to ensure compliance, and the level of sanctions in the event of non-compliance may rise. Such changes may also restrict Linde’s ability to compete effectively in the marketplace. Noncompliance with such laws and regulations could result in penalties or sanctions, cancellation of marketing rights or restrictions on participation in, or even exclusion from, public tender proceedings, all of which could have a material adverse impact on Linde’s financial results and/or reputation.

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Such changes may also restrict Linde’s ability to compete effectively in the marketplace. Changes to regulations in the areas of environmental protection and climate change, for example, may impact customer and competitor behavior driving structural changes in key end markets. While Linde will work to mitigate these risks through the pursuit of strategic alliances and investment in applications technologies to capture new growth areas, given the uncertainty about the type and scope of new regulations, it is difficult to predict how such changes and their impact on market behavior will ultimately impact Linde’s business. However, such changes could have a material adverse impact on Linde's results of operations.

Doing business globally requires Linde to comply with anti-corruption, trade, compliance and economic sanctions and similar laws, and to implement policies and procedures designed to ensure that its employees and other intermediaries comply with the applicable restrictions. These restrictions include prohibitions on the sale or supply of certain products, services and any other economic resources to embargoed or sanctioned countries, governments, persons and entities. Compliance with these restrictions requires, among other things, screening of business partners. Despite its commitment to legal compliance and corporate ethics, the company cannot ensure that its policies and procedures will always protect it from intentional, reckless or negligent acts committed by employees or agents under the applicable laws. If Linde fails to comply with laws governing the conduct of international operations, Linde may be subject to criminal and civil penalties and other remedial measures, which could materially adversely affect its reputation, business and results of operations.
The outcome of litigation or governmental investigations may adversely impact the company’s business or results of operations.
Linde’s subsidiaries are party to various lawsuits and governmental investigations arising in the ordinary course of business. Adverse outcomes in some or all of the claims pending may result in significant monetary damages or injunctive relief that could adversely affect Linde’s ability to conduct business. Linde and its subsidiaries may in the future become subject to further claims and litigation, which is impossible to predict. The litigation and other claims Linde faces are subject to inherent uncertainties. Legal or regulatory judgments or agreed settlements might give rise to expenses which are not covered, or are not fully covered, by insurance benefits and may also lead to negative publicity and reputational damage. An unfavorable outcome or determination could cause a material adverse impact on the company’s results of operations.
Potential product defects or inadequate customer care may adversely impact Linde’s business or results of operations.
Risks associated with products and services may result in potential liability claims, the loss of customers or damage to Linde’s reputation. Principal possible causes of risks associated with products and services are product defects or an inadequate level of customer care when Linde is providing services.
Linde is exposed to legal risks relating to product liability in the countries where it operates, including countries such as the United States, where legal risks (in particular through class actions) have historically been more significant than in other countries. The outcome of any pending or future products and services proceedings or investigations cannot be predicted and legal or regulatory judgments or agreed settlements may give rise to significant losses, costs and expenses.
The manufacturing and sale of products as well as the construction and sale of plants by Linde may give rise to risks associated with the production, filling, storage, handling and transport of raw materials, goods or waste. Industrial gases are

potentially hazardous substances and medical gases and the related healthcare services must comply with the relevant specifications in order to not adversely affect the health of patients treated with them.
Linde’s products and services, if defective or not handled or performed appropriately, may lead to personal injuries, business interruptions, environmental damages or other significant damages, which may result, among other consequences, in liability, losses, monetary penalties or compensation payments, environmental clean-up costs or other costs and expenses, exclusion from certain market sectors deemed important for future development of the business and loss of reputation. All these consequences could have a material adverse effect on Linde’s business and results of operations.
U.S. civil liabilities may not be enforceable against Linde.
Linde is organized under the laws of Ireland and substantial portions of its assets will beare located outside of the United States. In addition, certain directors and officers of Linde and its subsidiaries reside outside the United States. As a result, it may be difficult for investors to effect service of process within the United States upon Linde or such persons, or to enforce outside the United States judgments obtained against such persons in U.S. courts in any action, including actions predicated upon the civil liability provisions of the U.S. federal securities laws. In addition, it may be difficult for investors to enforce, in
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original actions brought in courts in jurisdictions located outside the United States, rights predicated upon the U.S. federal securities laws.
A judgment for the payment of money rendered by a court in the United States based on civil liability would not be automatically enforceable in Ireland. There is no treaty between Ireland and the United States providing for the reciprocal enforcement of foreign judgments. The following requirements must be met before the foreign judgment will be deemed to be enforceable in Ireland (i) the judgment must be for a definite sum, (ii) the judgment must be final and conclusive; and (iii) the judgment must be provided by a court of competent jurisdiction.
An Irish court will also exercise its right to refuse judgment if the foreign judgment (i) was obtained by fraud; (ii) violated Irish public policy; (iii) is in breach of natural justice; or (iv) if the judgment is irreconcilable with an earlier foreign judgment.
In addition, there is doubt as to whether an Irish court would accept jurisdiction and impose civil liability on Linde or such persons in an original action predicated solely upon the U.S. federal securities laws brought in a court of competent jurisdiction in Ireland against Linde or such member, officer or expert, respectively.
Changes in tax laws or policy could adversely impact the company’s financial position or results of operations.
Linde and its subsidiaries are subject to the tax rules and regulations in the U.S., Germany, Ireland, the U.K. and other countries in which they operate. Those tax rules and regulations are subject to change on a prospective or retroactive basis. Under current economic and political conditions including the U.K.’s ongoing exit process from the EU, tax rates and policies in any jurisdiction, including the U.S., the U.K. and the EU, are subject to significant change.changes which could result in a significant change to Linde's current and deferred income tax. In particular, since Linde is currently treated as U.K. tax resident, any potential changes in the tax rules applying to U.K. tax-resident companies would directly affect Linde.
A change in Linde’s tax residency could have a negative effect on the company’s future profitability and may trigger taxes on dividends or exit charges. If Linde ceases to be resident in the United KingdomU.K. and becomes resident in another jurisdiction, it may be subject to United KingdomU.K. exit charges, and/or could become liable for additional tax charges in the other jurisdiction. If Linde were to be treated as resident in more than one jurisdiction, it could be subject to duplicative taxation. Furthermore, although Linde is incorporated in Ireland and is not expected to be treated as a domestic corporation for U.S. federal income tax purposes, it is possible that the IRS could disagree withchallenge this result or that changes in U.S. federal income tax law could alter this result.  If the IRS successfully asserted such a position or the law were to change, significant adverse tax consequences may result for Linde, the company and Linde’s shareholders.  
WhenChanges in tax rules change, thislaws may result in a higher tax expense and the need to make higher tax payments. In addition, changes in tax legislation may have a significant impact on Linde’s and its subsidiaries’ tax receivables and tax liabilities as well as on their deferred tax assets and deferred tax liabilities and uncertainty about the tax environment in some regions may restrict their opportunitiesLinde's opportunity to enforce theirits respective rights under the law. Linde also operates in countries with complex tax regulations which could be interpreted in different ways. Interpretations of these regulations or changes in the tax system might have an adverse impact on the tax liabilities, profitability and business operations of

Linde. Linde and its subsidiaries are subject to periodic audits by the taxtaxing authorities in various jurisdictions or other review actions by the relevant financial or tax authorities. The ultimate tax outcome may differ from the amounts recorded in Linde’s or its subsidiaries’ financial statements and may materially affect their respective financial results for the period when such determination is made.


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ITEM 1B.     UNRESOLVED STAFF COMMENTS
Linde has received no written SEC staff comments regarding any of its Exchange Act reports which remain unresolved.

ITEM 2.     PROPERTIES
Linde plc'sLinde's principal executive offices are located in ownedleased office space in Guildford, United Kingdom.Kingdom and owned office space in Danbury, Connecticut. Linde also owns principal administrative office space in Danbury, ConnecticutTonawanda, New York, United States and Houston, Texas, United States; Pullach, Germany; and Singapore.Germany.
Due to the nature of Linde’s industrial gas products, it is generally uneconomical to transport them distances greater than a few hundred miles from the production facility. As a result, Linde operates a significant number of production facilities spread globally throughout a number of geographic regions.
The following is a description of production facilities for Linde by segment. No significant portion of these assets was leased at December 31, 2019.2021. Generally, these facilities are fully utilized and are sufficient to meet the company's manufacturing needs.
Americas
The Americas segment operates production facilities primarily in the U.S., Canada, Mexico and Brazil, approximately 350 of which are mainly cryogenic air separation plants, hydrogen plants and carbon dioxide plants. There are five major pipeline complexes in North America located in northern Indiana, Houston, along the Gulf Coast of Texas, Detroit and Louisiana. Many of the South American plants support one pipeline complex in Southern Brazil. Also located throughout the Americas are noncryogenic air separation plants, packaged gas facilities and other smaller plant facilities.
EMEA
The EMEA segment has production facilities primarily in Italy, Spain, Germany, France, Sweden, the Benelux region,Republic of South Africa, and the United Kingdom, Scandinavia and RussiaU.K. which include approximately 230275 cryogenic air separation plants and carbon dioxide plants. Also located throughout Europe are noncryogenic air separation plants, hydrogen, packaged gas facilities and other smaller plant facilities.
APAC
The APAC segment has production facilities located primarily in China, Australia, India, South Korea India and Thailand, approximately 230 of which are cryogenic air separation plants and carbon dioxide plants. Also located throughout Asia are noncryogenic air separation plants, hydrogen, packaged gas and other production facilities.
Engineering
The Linde Engineering business designs and constructs turnkey process plants for third-party customers as well as for the Linde gases businesses in many locations worldwide, such as olefin plants, natural gas plants, air separation plants, hydrogen and synthesis gas plants. Plant components are produced in owned factories in Pullach and Tacherting, Germany; Hesinque, France; Oklahoma, United States; and Dalian, China.


ITEM 3.     LEGAL PROCEEDINGS
Information required by this item is incorporated herein by reference to the section captioned “Notes to Consolidated Financial Statements – 19.17. Commitments and Contingencies” in Item 8 of this 10-K.

ITEM 4.     MINE SAFETY DISCLOSURES
Not ApplicableApplicable.
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PART II
ITEM 5.MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES
ITEM 5.     MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES
Linde plc shares trade on the New York Stock Exchange (“NYSE”) and the Frankfurt Stock Exchange (“FSE”) under the ticker symbol “LIN”. At December 31, 20192021 there were 9,3228,363 shareholders of record.
Purchases of Equity Securities – Certain information regardingregarding purchases made by or on behalf of the company or any affiliated purchaser (as defined in Rule 10b-18(a)(3) under the Securities Exchange Act of 1934, as amended) of its ordinary shares during the three months ended December 31, 20192021 is provided below: 
Period
Total
Number of
Shares
Purchased
(Thousands)
Average
Price Paid
Per Share
Total Number of
Shares  Purchased as
Part of Publicly
Announced
Program (1)
(Thousands)
Approximate Dollar
Value of Shares that
May Yet be Purchased
Under the Program (2)
(Millions)
October 2021931 $304.49 931 $1,554 
November 20211,570 $329.60 1,570 $1,037 
December 20211,626 $333.23 1,626 $495 
Fourth Quarter 20214,127 $325.37 4,127 $495 
Period
Total
Number of
Shares
Purchased
(Thousands)
 
Average
Price Paid
Per Share
 
Total Number of
Shares  Purchased as
Part of Publicly
Announced
Program (1)
(Thousands)
 
Approximate Dollar
Value of Shares that
May Yet be Purchased
Under the Program (2)
(Millions)
October 2019716
 $191.19
 716
 $4,322
November 20191,039
 $205.74
 1,039
 $4,108
December 20191,896
 $207.31
 1,896
 $3,715
Fourth Quarter 20193,651
 $203.70
 3,651
 $3,715
________________________
(1)On January 22, 2019 the company’s board of directors approved the repurchase of $6.0 billion of its ordinary shares ("2019 program") which could take place from time to time on the open market (and could include the use of 10b5-1 trading plans), subject to market and business conditions. The 2019 program has a maximum repurchase amount of 15% of outstanding shares and a stated expiration date of February 1, 2021.
(2)As of December 31, 2019, the company repurchased $2.3 billion of its ordinary shares pursuant to the 2019 program, leaving an additional $3.7 billion authorized.

(1)On January 25, 2021 the company's board of directors approved the repurchase of $5.0 billion of its ordinary shares ("2021 program") which could take place from time to time on the open market (and could include the use of 10b5-1 trading plans), subject to market and business conditions. The 2021 program has a maximum repurchase amount of 15% of outstanding shares, began on February 1, 2021 and expires on July 31, 2023.
(2)As of December 31, 2021, the company repurchased $4.5 billion of its ordinary shares pursuant to the 2021 program, leaving an additional $0.5 billion authorized under the 2021 program.
On February 28, 2022 the company's board of directors approved the repurchase of $10.0 billion of its ordinary shares ("2022 program") which could take place from time to time on the open market (and could include the use of 10b5-1 trading plans), subject to market and business conditions. The 2022 program has a maximum repurchase amount of 15% of outstanding shares, beginning on March 1, 2022 and expires on July 31, 2024.
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Peer Performance Table – The graph below compares the most recent five-year cumulative returns of the common stock of Praxair, the company's predecessor, through October 31, 2018 and Linde's ordinary shares fromfor periods subsequent to October 31, 2018 through December 31, 2019 with those of the Standard & Poor’s 500 Index ("SPX") and the S5 Materials Index ("S5MATR") which covers 2228 companies, including Linde. The figures assume an initial investment of $100 on December 31, 20142016 and that all dividends have been reinvested. chart-a96ca90a08bc5842896.jpglin-20211231_g1.jpg
201620172018201920202021
LIN$100$135$139$194$244$325
SPX$100$122$117$153$181$233
S5MATR$100$124$106$132$159$202

 201420152016201720182019
LIN$100$79$90$119$120$164
SPX$100$99$109$130$122$157
S5MATR$100$90$102$124$104$126



ITEM 6.     SELECTED FINANCIAL DATA
FIVE-YEAR FINANCIAL SUMMARYRESERVED
(Dollar amounts in millions, except per share data)

The year ended December 31, 2019 reflects the results of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting (See Notes 1, 3 and 4 to the consolidated financial statements). The historical periods prior to 2018 reflect the results of Praxair.Not applicable.
Year Ended December 31,2019(a) 2018(a) 2017(a) 2016(a) 2015(a)
From the Consolidated Statements of Income         
Sales$28,228
 $14,836
 $11,358
 $10,469
 $10,710
Cost of sales, exclusive of depreciation and amortization16,644
 9,020
 6,382
 5,790
 5,852
Selling, general and administrative3,457
 1,629
 1,207
 1,145
 1,152
Depreciation and amortization4,675
 1,830
 1,184
 1,122
 1,106
Research and development184
 113
 93
 92
 93
Cost reduction programs and other charges567
 309
 52
 96
 165
Net gain on sale of businesses164
 3,294
 
 
 
Other income (expenses) – net68
 18
 4
 23
 28
Operating profit2,933
 5,247
 2,444
 2,247
 2,370
Interest expense – net38
 202
 161
 190
 161
Net pension and OPEB cost (benefit), excluding service cost(32) (4) (4) 9
 49
Income from continuing operations before income taxes and equity investments2,927
 5,049
 2,287
 2,048
 2,160
Income taxes on continuing operations769
 817
 1,026
 551
 612
Income from continuing operations before equity investments2,158
 4,232
 1,261
 1,497
 1,548
Income from equity investments114
 56
 47
 41
 43
Income from continuing operations (including noncontrolling interests)2,272
 4,288
 1,308
 1,538
 1,591
Noncontrolling interests from continuing operations(89) (15) (61) (38) (44)
Income from continuing operations$2,183
 $4,273
 $1,247
 $1,500
 $1,547
Per Share Data – Linde plc Shareholders         
Basic earnings per share from continuing operations$4.03
 $12.93
 $4.36
 $5.25
 $5.39
Diluted earnings per share from continuing operations$4.00
 $12.79
 $4.32
 $5.21
 $5.35
Cash dividends per share$3.50
 $3.30
 $3.15
 $3.00
 $2.86
Weighted Average Shares Outstanding (000’s) (b)         
Basic shares outstanding541,094
 330,401
 286,261
 285,677
 287,005
Diluted shares outstanding545,170
 334,127
 289,114
 287,757
 289,055
Other Information and Ratios         
Total assets$86,612
 $93,386
 $20,436
 $19,332
 $18,319
Total debt$13,956
 $15,296
 $9,000
 $9,515
 $9,231
Cash flow from operations$6,119
 $3,654
 $3,041
 $2,789
 $2,695
Net cash provided by (used for) investing activities$1,189
 $5,363
 $(1,314) $(1,770) $(1,303)
Net cash used for financing activities$(8,997) $(4,998) $(1,656) $(659) $(1,310)
Capital expenditures$3,682
 $1,883
 $1,311
 $1,465
 $1,541
Shares outstanding (000’s)534,381
 547,242
 286,777
 284,901
 284,879
Number of employees79,886
 80,820
 26,461
 26,498
 26,657
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(a)Amounts for 2019 include: (i) charges of $567 million for cost reduction programs and other charges primarily related to the merger and synergies, (ii) pension settlement charges of $97 million related to lump sum benefit payments made from pension plans, (iii) a net gain on sale of businesses of $164 million and (iv) the purchase accounting impacts of the merger of $1,952 million.

Amounts for 2018 include: (i) charges of $309 million for transaction costs and other charges primarily related to the merger, (ii) pension settlement charges of $14 million related to lump sum benefit payments made from pension plans, (iii) income tax benefit, net of $17 million due to U.S. Tax Cuts and Jobs Act and other tax charges, (iv) a net gain on sale of businesses of $3,294 million, (v) bond redemption costs of $26 million, and (vi) the purchase accounting impacts of the merger of $714 million.
Amounts for 2017 include: (i) charges of $52 million for transaction costs related to the merger, (ii) a pension settlement charge of $2 million related to lump sum benefit payments made from an international pension plan, and (iii) income tax charges, net of $394 million due to U.S. Tax Cuts and Jobs Act.
Amounts for 2016 include: (i) a $16 million charge to interest expense related to the redemption of the $325 million 5.20% notes due 2017, (ii) a pre–tax pension settlement charge of $4 million related to lump sum benefit payments made from the U.S. supplemental pension plan, and (iii) pre–tax charges of $96 million primarily related to cost reduction actions.
Amounts for 2015 include: (i) a pre-tax charge of $165 million related to the cost reduction program and other charges; and (ii) a pre-tax charge of $7 million related to a pension settlement.
See Notes 1, 3, 4, 5, 7, 13 and 18 to the consolidated financial statements.
(b) As a result of the merger, share amounts for the year ended December 31, 2018 reflect the weighted averaging effect of Praxair shares outstanding prior to October 31, 2018 and Linde shares outstanding from October 31, 2018 through December 31, 2018.

ITEM 7.MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
ITEM 7.     MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
The following discussion of the company’s financial condition and results of operations should be read together with its consolidated financial statements and notes to the consolidated financial statements included in Item 8 of this Form 10-K. 
Page
Page
Merger of Praxair, Inc. and Linde AGBusiness Overview
Business Overview
Executive Summary – Financial Results & Outlook
Consolidated Results and Other Information
Segment Discussion
Liquidity, Capital Resources and Other Financial Data
Contractual ObligationsOff-Balance Sheet Arrangements
Off-Balance Sheet ArrangementsCritical Accounting Estimates
CriticalNew Accounting PoliciesStandards
New Accounting StandardsFair Value Measurements
Fair Value MeasurementsNon-GAAP Financial Measures
Supplemental Pro Forma Income StatementGuarantee Information
Non-GAAP Financial Measures
18


MERGER OF PRAXAIR, INC. AND LINDE AG
Linde plc ("Linde") is a public limited company formed under the lawsTable of Ireland in 2017 in accordance with the requirements of the business combination agreement between Praxair, Inc. ("Praxair") and Linde Aktiengesellschaft ("Linde AG"). On October 31, 2018 Praxair and Linde AG combined their respective businesses through an all-stock transaction, and became subsidiaries of Linde plc (collectively referred to as the “business combination” or "merger"). The business combination of Praxair and Linde AG has been accounted for using the acquisition method of accounting under the provisions of Financial Accounting Standards Board (“FASB”) Accounting Standards Codification 805, “Business Combinations,” with Praxair representing the accounting acquirer under this guidance. Accordingly, the historical financial statements of Praxair for the periods prior to the merger are considered to be the historical financial statements of Linde. The results of Linde AG are included in Linde’s consolidated results from the merger date forward. The Linde shares trade on the New York Stock Exchange and the Frankfurt Stock Exchange under the ticker symbol “LIN”. See Notes 1 and 3 to the consolidated financial statements for additional information.Contents
In connection with the business combination, the company, Praxair and Linde AG, entered into various agreements with regulatory authorities to satisfy anti-trust requirements to secure approval to consummate the business combination. These agreements required the sale of the majority of Praxair’s European businesses (completed on December 3, 2018), a significant portion of Linde AG’s Americas business (completed on March 1, 2019), select assets of Linde AG's South Korean industrial gases business (completed April 30, 2019), select assets of Praxair's Indian industrial gases business (completed July 12, 2019), select assets of Linde AG's Indian industrial gases business (completed December 16, 2019) as well as certain divestitures of other Praxair and Linde AG businesses in Asia that are currently expected to be sold in 2020 (collectively, the “merger-related divestitures”). In the consolidated financial statements included in Item 8, Praxair’s merger-related divestitures are included in the results of operations until sold and Linde AG’s merger-related divestitures are accounted for as discontinued operations. See Notes 1, 3 and 4 to the consolidated financial statements included in Item 8 for additional information relating to merger-related divestitures.
Additionally, to obtain merger approval in the United States Linde, Praxair and Linde AG entered into an agreement with the U.S. Federal Trade Commission dated October 1, 2018 (“hold separate order” or “HSO”). Under the HSO, the company, Praxair and Linde AG agreed to continue to operate Linde AG and Praxair as independent, ongoing, economically viable, competitive businesses held separate, distinct, and apart from each other’s operations; and not coordinate any aspect of their operations until certain divestitures in the United States were completed. Accordingly, Linde had accounted for Linde AG as a separate segment for 2018 reporting purposes effective with the merger date. Prior to the merger date, the company’s Linde AG segment did not exist. Since the FTC hold separate order restrictions were lifted effective March 1, 2019, the company subsequently implemented a new segment structure as follows: Americas; EMEA

(Europe/Middle East/Africa); APAC (Asia/South Pacific) and Engineering. This new management organization structure was implemented during the first quarter 2019 and, accordingly, segment information has been retrospectively recast for all prior periods.
ITEMS AFFECTING COMPARABILITY
Because Praxair and Linde AG combined their respective businesses effective with the merger date of October 31, 2018, the year ended December 31, 2019 reflects the results and cash flows of the combined business, while the year ended December 31, 2018 includes twelve months of Praxair and two months of Linde AG. Due to the size of Linde AG’s businesses prior to the merger, the reported results for 2019 and 2018 periods are not comparable. The balance sheets at December 31, 2019 and December 31, 2018 are comparable because both periods reflect the merger.

Pro Forma Income Statement Information
Therefore, to assist with a discussion of the 2019 and 2018 results on a comparable basis, certain supplemental unaudited pro forma income statement information is provided on both a consolidated and segment basis (referred to as "pro forma income statement information" or "pro forma information").
The pro forma information has been prepared on a basis consistent with Article 11 of Regulation S-X, assuming the merger and merger-related divestitures had been consummated on January 1, 2018. In preparing this pro forma information, the historical financial information has been adjusted to give effect to pro forma Adjustments that are (i) directly attributable to the business combination and other transactions presented herein, such as the merger-related divestitures, (ii) factually supportable, and (iii) expected to have a continuing impact on the combined entity’s consolidated results. The pro forma information is based on management's assumptions and is presented for illustrative purposes and does not purport to represent what the results of operations would actually have been if the business combination and merger-related divestitures had occurred as of the dates indicated or what the results would be for any future periods. Pro forma information was not developed for the year ended December 31, 2017. Also, the pro forma information does not include the impact of any revenue, cost or other operating synergies that may result from the business combination or any related restructuring costs.

BUSINESS OVERVIEW
With the merger, Linde is the leading industrial gas company worldwide. The company's primary products in its industrial gases business are atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). The company also designs, engineers, and builds equipment that produces industrial gases primarily for internal use; and offers its customers a wide range of gas production and processing services such as olefin plants, natural gas plants, air separation plants, hydrogen and synthesis gas plants and other types of plants.

Linde’s industrial gas operations are managed on a geographical basis and in 2019 83%2021 84% of sales were generated by Linde's three geographic segments (Americas, EMEA and APAC) and the remaining 17% is16% are related primarily to the Engineering segment, and to a lesser extent Other (see Note 2018 to the consolidated financial statements for operating segment details).

Linde serves a diverse group of industries including healthcare, petroleum refining, manufacturing, food, beverage carbonation, fiber-optics, steel making, aerospace, chemicals and water treatment.energy, manufacturing, metals and mining, food and beverage, and electronics. The diversity of end-markets supports financial stability for Linde in varied business cycles.
Linde generates most of its revenues and earnings in the following twelve geographies where the company has its strongest market positions and where distribution and production operations allow the company to deliver the highest level of service to its customers at the lowest cost. 
North and South America ("Americas")Europe, Middle East and Africa (“EMEA”)Asia and Pacific
(“APAC”)
United StatesGermanyChina & Taiwan
BrazilUnited KingdomAustralia
MexicoEastern EuropeSouth Korea
CanadaSouth AfricaIndia
The company manufactures and distributes its industrial gas products through networks of thousands of production plants, pipeline complexes, distribution centers and delivery vehicles. Major pipeline complexes are primarily located in the United States.States and China. These networks are a competitive advantage, providing the foundation of reliable product supply to the company’s customer base. The majority of Linde’s business is conducted through long-term contracts which provide stability in cash flow and the ability to pass through changes in energy and feedstock costs to customers. The company has growth opportunities in all major geographies and in diverse end-markets such as healthcare, chemicals and energy, electronics, chemicals,manufacturing, metals healthcare,and mining, food and beverage, and aerospace.electronics.

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EXECUTIVE SUMMARY – FINANCIAL RESULTS & OUTLOOK
20192021 Year in review
On October 31, 2018 Praxair and Linde AG combined their respective businesses through an all-stock merger transaction, and became subsidiaries of Linde plc. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018.

Sales of $28,228$30,793 million were 90%13% above 20182020 sales of $14,836 million, primarily driven$27,243 million. Volume growth across all end markets and project start-ups increased sales by the merger that contributed 89% to sales, net of divestitures. Underlying sales increased 1% driven by 3% higher8% . Higher pricing across all geographic segments contributed 3% to sales. Favorable currency translation and 1% volume growth,higher cost pass-through increased sales by 5%, partially offset by unfavorable currency translation and lower cost pass-through.the deconsolidation of a joint venture with operations in APAC which decreased sales by 3% .
Reported operating profit of $2,933$4,984 million was 44% below 201850% above 2020. Adjusted operating profit of $7,176 million was 24% above 2020. The increase in both reported and adjusted operating profit was primarily driven by higher volume and price and the net gain on salebenefit of businesses in 2018cost reduction programs and other charges and productivity initiatives, partially offset by the impactdeconsolidation of the merger, including purchase accounting impacts,a joint venture with operations in the current year. On an adjusted pro forma basis, operating profit increased $476 million, or 10%, for 2019 versus 2018, as the impacts of higher pricing and volumes were partially offset by unfavorable currency impacts and cost inflation.APAC.*
Income from continuing operations of $2,183$3,821 million and diluted earnings per share from continuing operations of $4.00 decreased$7.32 increased from $4,273$2,497 million and $12.79,$4.70, respectively in 2018.2020. Adjusted pro forma income from continuing operations of $4,003$5,579 million and adjusted pro forma diluted earnings per share from continuing operations of $7.34$10.69 were 17%28% and 19%30%, respectively above 20182020 adjusted pro forma amounts.*
Cash flow from operations of $9,725 million was $6,119 million, or 22% of sales.31% above 2020. Capital expenditures were $3,682$3,086 million; dividends paid were $1,891$2,189 million; net purchases of ordinary shares of $2,586$4,562 million; and debt repayments, net were $1,260$514 million.

*A reconciliation of the adjusted pro forma amounts can be found in the "Supplemental Pro Forma Income Statement Information" and "Non-GAAP Financial Measures" section in this MD&A. See Notes 1, 3, 4, 5, 7, 13 and 18 to the consolidated financial statements.

20202022 Outlook

The company’s business is to build, own, and operate industrial gas plants in order to supply atmospheric and process gases to customers. As such, Linde believes that its sale of gas project backlog is one indicator of future sales growth. At December 31, 2019, Linde’s sale of gas backlog of large projects under construction was $4.4 billion. This represents the total estimated capital cost of large plants under construction. APAC and Americas represent 64 percent and 29 percent of the backlog, respectively, with the remaining backlog in EMEA. These plants will primarily supply customers in the energy, chemical, and electronics end-markets.

The above outlook should be read in conjunction with the section entitled “Forward-Looking Statements.”

Linde provides quarterly updates on operating results, material trends that may affect financial performance, and financial guidance via earnings releases and investor teleconferences. These materials are available on the company’s website, www.linde.com, but are not incorporated herein.


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CONSOLIDATED RESULTS AND OTHER INFORMATION
The discussion that follows includes a comparison of our results of operations and liquidity and capital resources for the years ended December 31, 2021 and 2020. For the discussion comparing the years ended December 31, 2020 and 2019, refer to Part II, Item 7, Management’s Discussion and Analysis of Financial Condition and Results of Operations, of our Form 10-K for the year ended December 31, 2020.
The following table provides summary information for 2019, 20182021 and 2017.2020. The reported amounts are GAAP amounts from the Consolidated Statements of Income. The pro forma and adjusted pro forma amounts are intended to supplement investors' understanding of the company's financial information and are not a substitute for GAAP measures. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting (See Notes 1,
(Millions of dollars, except per share data)
Year Ended December 31,
20212020Variance
Reported Amounts
Sales$30,793 $27,243 13 %
Cost of sales, exclusive of depreciation and amortization$17,543 $15,383 14 %
As a percent of sales57.0 %56.5 %
Selling, general and administrative$3,189 $3,193 — %
As a percent of sales10.4 %11.7 %
Depreciation and amortization$4,635 $4,626 — %
Cost reduction programs and other charges (a)$273 $506 (46)%
Operating Profit$4,984 $3,322 50 %
Operating margin16.2 %12.2 %
Interest expense – net$77 $115 (33)%
Net pension and OPEB cost (benefit), excluding service cost$(192)$(177)%
Effective tax rate24.7 %25.0 %
Income from equity investments$119 $85 40 %
Noncontrolling interests from continuing operations$(135)$(125)%
Income from continuing operations$3,821 $2,497 53 %
Diluted earnings per share from continuing operations$7.32 $4.70 56 %
Diluted shares outstanding521,875 531,157 (2)%
Number of employees72,327 74,207 (3)%
Adjusted Amounts (b)
Operating profit$7,176 $5,797 24 %
Operating margin23.3 %21.3 %
Income from continuing operations$5,579 $4,371 28 %
Diluted earnings per share from continuing operations$10.69 $8.23 30 %
Other Financial Data (b)
EBITDA from continuing operations$9,738 $8,033 21 %
As percent of sales31.6 %29.5 %
Adjusted EBITDA from continuing operations$10,179 $8,645 18 %
As percent of sales33.1 %31.7 %
________________________
(a)See Note 3 and 4 to the consolidated financial statements). The historical periods priorstatements.
(b)Adjusted amounts and Other Financial Data are non-GAAP performance measures. A reconciliation of reported amounts to 2018 reflectadjusted amounts can be found in the results"Non-GAAP Financial Measures" section of Praxair, Inc:this MD&A.







 
 Reported Amounts (GAAP)
 Pro Forma Amounts (a)
(Millions of dollars, except per share data)
Year Ended December 31,
2019 2018 2017 2019 vs. 2018 2018 vs. 2017 2019 2018 2019 vs. 2018
Reported Amounts               
Sales$28,228
 $14,836
 $11,358
 90 % 31 % $28,163
 $28,084
  %
Cost of sales, exclusive of depreciation and amortization$16,644
 $9,020
 $6,382
 85 % 41 % $16,584
 $16,929
 (2)%
As a percent of sales59.0% 60.8% 56.2%     58.9% 60.3%  
Selling, general and administrative$3,457
 $1,629
 $1,207
 112 % 35 % $3,456
 $3,635
 (5)%
As a percent of sales12.2% 11.0% 10.6%     12.3% 12.9%  
Depreciation and amortization$4,675
 $1,830
 $1,184
 155 % 55 % $4,675
 $4,924
 (5)%
Cost reduction programs and other charges (b)$567
 $309
 $52
     $377
 $56
  
Net gain on sale of businesses (b)$164
 $3,294
 $
     $
 $
 

Operating Profit$2,933
 $5,247
 $2,444
 (44)% 115 % $2,955
 $2,561
 15 %
Operating margin10.4% 35.4% 21.5%     10.5% 9.1% 

Interest expense – net$38
 $202
 $161
 (81)% 25 % $38
 $379
 (90)%
Net pension and OPEB cost (benefit), excluding service cost$(32) $(4) $(4) 700 %  % $(129) $(165) (22)%
Effective tax rate26.3% 16.2% 44.9%     24.6% 28.5% 

Income from equity investments$114
 $56
 $47
 104 % 19 % $114
 $52
 119 %
Noncontrolling interests from continuing operations$(89) $(15) $(61) 

 (75)% $(89) $
 

Income from continuing operations$2,183
 $4,273
 $1,247
 (49)% 243 % $2,322
 $1,729
 34 %
Diluted earnings per share from continuing operations$4.00
 $12.79
 $4.32
 (69)% 196 % $4.25
 $3.11
 37 %
Diluted shares outstanding (c)545,170
 334,127
 289,114
 63 % 16 % 545,170
 555,151
 (2)%
Number of employees79,886
 80,820
 26,461
          
           Adjusted Pro forma Amounts (d)
Operating profit          $5,272
 $4,796
 10 %
Operating margin          18.7% 17.1%  
Income from continuing operations          $4,003
 $3,433
 17 %
Diluted earnings per share from continuing operations          $7.34
 $6.19
 19 %
Other Financial Data (d)               
EBITDA and pro forma EBITDA from continuing operations$7,722
 $7,133
 $3,675
 8 % 94 % $7,744
 $7,537
 3 %
As percent of sales27.4% 48.1% 32.4% (43)% 48 % 27.5% 26.8%  
Adjusted pro forma EBITDA from continuing operations      

 

 $8,178
 $7,603
 8 %
As percent of sales      

 

 29.0% 27.1%  
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________________________
(a)Pro forma amounts are supplemental to the GAAP presentations and are prepared on a basis consistent with Article 11 of Regulation S-X. See "Supplemental Pro Forma Income Statement Information" and "Non-GAAP Reconciliations" sections of this MD&A.

(b)See Notes 4 and 5 to the consolidated financial statements.
(c)As a result of the merger, share amounts for the year ended December 31, 2018 reflect the weighted averaging effect of Praxair shares outstanding prior to October 31, 2018 and Linde shares outstanding from October 31, 2018 through December 31, 2018.
(d)Adjusted pro forma amounts and Other Financial Data are non-GAAP performance measures. A reconciliation of reported amounts to adjusted pro forma amounts can be found in the "Supplemental Pro Forma Income Statement Information" and "Non-GAAP Reconciliations" sections of this MD&A.

Results of Operations
The following table provides a summary of changes in consolidated reported and pro forma sales:
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume%
Price/Mix%
Cost pass-through%
Currency%
Acquisitions/divestitures(3)%
Engineering— %
13 %
  2019 vs. 2018 2018 vs. 2017
  % Change % Change
  Reported Pro forma Reported
Factors Contributing to Changes - Sales      
Volume 1 % 2 % 4 %
Price/Mix 3 % 2 % 2 %
Cost pass-through (1)% (1)% 1 %
Currency (2)% (4)% (1)%
Acquisitions/Divestitures 89 % 1 % 25 %
  90 %  % 31 %

20192021 Compared With 20182020

Sales
ReportedLinde sales increased $13,392$3,550 million, or 90%13%, for the year primarily due to the merger, net of related divestitures. On a pro forma basis sales increased $79 million in 2019 compared to 2018.
On a reported basis, sales increased 90% to $28,228 million in 20192021 compared to $14,836 million in 2018 primarily due to the merger, net of related divestitures.year versus 2020. Volume growth across all end markets and project start ups increased sales by 1% driven by higher volumes largely in the APAC segment, including new project start-ups.8%. Higher pricing across all geographic segments contributed 3% to sales. Currency translation decreasedincreased sales by 2%, largely in EMEA and APAC, driven by the weakeningstrengthening of the Brazilian real, CanadianEuro, Australian dollar, and Chinese yuan and British pound against the USU.S. dollar. LowerCost pass-through, representing the contractual billing of energy cost pass-through,variances primarily natural gas, decreasedto onsite customers, increased sales by 1%3%, with minimal impact on operating profit.
On a pro forma basis, Divestitures decreased sales were relatively flat with prior year. Volume growth of 2% was largely driven by higher volumes in the Americas and APAC segments, including new project start-ups. Higher pricing across the gases segments contributed 2% to sales. Unfavorable currency translation,3% primarily driven by the weakeningdeconsolidation of a joint venture with operations in APAC (see Note 2 to the Euro, British pound, Chinese yuan and Australian dollar, decreased sales by 4%consolidated financial statements). Lower cost pass-through, primarily natural gas, decreased sales by 1% with minimal impact on operating profit. Acquisitions, largely in the Americas segment, contributed 1% to sales.
Cost of sales, exclusive of depreciation and amortization    
Reported costCost of sales, exclusive of depreciation and amortization, increased $7,624$2,160 million, or 85%14%, for the year primarily due to the merger, net of related divestitures.

On a pro forma basis,higher volumes, cost of sales, exclusive of depreciationpass-through and amortization decreased $345 million or 2% in 2019 as compared to 2018. Pro forma costcurrency impacts, partially offset by productivity initiatives. Cost of sales, exclusive of depreciation and amortization, was 58.9%57.0% and 56.5% of sales, respectively, in the year versus 60.3% of sales for 2018.2021 compared to 2020. The decreaseincrease as a percentage of sales in the year was due primarily to higher pricing.cost pass-through.

Selling, general and administrative expenses
Reported selling,Selling, general and administrative expense ("SG&A") expenses increased $1,828decreased $4 million, or 112%,from $3,193 in 20192020 to $3,457$3,189 million in 2021. SG&A was 10.4% of sales in 2021 versus 11.7% in 2020, primarily due to continued productivity initiatives and the merger. On a pro forma basis, SG&A decreased $179 million, or 5%, versus the 2018 period.
On a reported basis, SG&A increased 112% in 2019, primarily due to the merger. SG&A was 12.2%impact of sales in 2019 versus 11.0% in 2018, primarily due to the merger.

On a pro forma basis, SG&A decreased 5% in 2019 versus 2018. SG&A was 12.3% of sales in 2019 versus 12.9% in 2018.higher cost pass-through on sales. Currency impacts decreasedincreased SG&A by approximately $145$62 million in the 2019 period.2021. Excluding currency impacts, underlying SG&A decreased due to cost reduction actions andcontinued productivity improvements which also drove the improvement of SG&A as a percentage of sales in the period.initiatives.
Depreciation and amortization
Reported depreciation and amortization expense increased $2,845$9 million or 155%, versus 2018.2020. The increase is primarily due to the merger, including $1,940 million of purchase accountingcurrency translation impacts, partially offset by a decrease related primarily to the depreciation and amortization of the fair value adjustments of fixed assets and intangible assets acquired in the merger.merger becoming fully amortized.
On a pro formaan adjusted basis, depreciation and amortization expense decreased $249increased $66 million, or 5%2%, versus 2018. Currency movements decreased2020. The increase is primarily due to currency translation impacts which increased depreciation and amortization by approximately $197$60 million for the year.in 2021. Excluding currency effects,impacts, underlying depreciation and amortization expense decreased approximately $52 million, primarily drivenwas relatively flat as the impact of new project start ups was largely offset by measurement period adjustments recognizedthe decrease related to the deconsolidation of a joint venture with operations in 2019APAC (see Note 32 to the consolidated financial statements), partially offset by increases due to large project start-ups..
Cost reduction programs and other charges
Linde recorded cost reduction programs and other charges of $567$273 million and $309$506 million for 20192021 and 2018,2020, respectively, primarily associated with the company's cost reduction program, which represents charges for achieving synergies and cost efficiencies related to merger and synergy-related costs and an asset impairment in the third quarter 2019 of approximately $73 million related to a joint venture in APAC resulting from an unfavorable arbitration rulingmerger (see Note 53 to the consolidated financial statements).
On an adjusted pro forma basis, these costs have been eliminatedexcluded in both periods.
Operating profit
Reported operating profit decreased $2,314increased $1,662 million in 2019,2021, or 44%, primarily driven by the net gain on sale of businesses in 2018 partially offset by the impact of the merger, including purchase accounting impacts, in the current year.50%. On an adjusted pro forma basis, operating profit increased $476$1,379 million, or 10%24%, for 20192021 versus 2018.2020.
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On a reported basis, operating profit decreased $2,314increased $1,662 million, or 44%. 2019 includes Linde AG's operating results for50% in 2021. The increase in the full year was driven by higher volumes and a gain on merger-related divestitures of $164 million, which was offset by $1,952 million which primarily related to $1,940 million of purchase accounting charges for additional depreciation and amortization, and $567 million in cost reduction program and other charges. 2018 included Linde AG's operating results from October 31, 2018 forward and a gain on merger-related divestitures of $3,294 million,price, partially offset by purchase accounting impactsthe deconsolidation of $714a joint venture with operations in APAC. Cost reduction programs and other charges were $273 million in 2021 and $309$506 million of merger-related charges.in 2020.
On an adjusted pro forma basis, which excludes the impacts of purchase accounting, cost reduction programs and other charges, and net gains from merger-related divestitures, operating profit increased $476$1,379 million, or 10%, as24%. Operating profit growth was driven by higher volume and price and the impactsbenefit of higher pricingcost reduction programs and volumes wereproductivity initiatives, partially offset by unfavorable currency impacts and cost inflation.the deconsolidation of a joint venture with operations in APAC. A discussion of operating profit by segment is included in the segment discussion that follows.
Interest expense - net
Reported interest expense – net in 20192021 decreased $164$38 million, or 81%33%, versus 2018.2020 . On an adjusted pro forma basis interest expense decreased $145$54 million, or 52%29% in 20192021 as compared to 2018.2020.
On both a reported and adjusted basis, interest expense - net decreased $164 million in 2019the decrease year over year was driven by a lower effective borrowing rate and included a decreasethe impact of $96 million related to purchase accounting impactsunfavorable foreign currency revaluation on the fair value of debt acquiredan unhedged intercompany loan in the merger. Excluding this purchase accounting impact, reported interest expense decreased $68 million in the year as interest on debt acquired in the merger was more than offset by higher interest income.
On an adjusted pro forma basis, interest expense - net decreased $145 million in 2019 primarily due to lower debt levels and higher interest income.prior year.
Net pension and OPEB cost (benefit), excluding service cost
Reported net pension and OPEB cost (benefit), excluding service cost was a benefit of $32$192 million and $177 million in 2019 versus2021 and 2020, respectively. The increase in benefit largely relates to a benefithigher expected return on plan assets and lower interest costs, partially offset by higher amortization of $4 million in 2018 and included pension settlement charges of $97 million and a net $8 million curtailment chargedeferred losses (see Note 1816 to the consolidated financial statements). Excluding the impact of these charges, the net pension and OPEB benefit, excluding service cost increased $133 million in 2019, primarily due to the impact of pension and OPEB plans acquired in the merger.

On an adjusted pro forma basis, net pension and OPEB (benefit), excluding service cost was a benefit of $129 million in 2019 versus a benefit of $165 million in 2018.

Effective tax rate
The reported effective tax rate ("ETR") for 20192021 was 26.3%24.7% versus 16.2%25.0% in 2018. 2018 included2020. The decrease is primarily driven by increased pre-tax income and jurisdictional mix. 2021 includes a deferred income tax charge related to the impactrevaluation of net deferred tax liabilities for a tax rate increase in the saleUnited Kingdom, offset by a reduction to tax expense related to uncertain tax benefits and accrued interest and penalties of Praxair's European industrial gas business$47 million (see Note 75 to the consolidated financial statements).
On an adjusted pro forma basis, the ETR for 20192021 was 24.0%24.1% versus 25.8%23.8% in 2018.2020. The increase in the adjusted ETR is primarily due to lower tax benefits in 2021 relative to higher pre-tax income.
Income from equity investments
Reported income from equity investments for 2019 increased $582021 was $119 million as compared to $114$85 million largely related to investments in APAC and EMEA. This increase is primarily related to the merger.
2020. On an adjusted pro forma basis, income from equity investments for 2019 increased $552021 was $231 million to $171 million. Theversus $142 million in 2020.
On a reported basis, the increase in income from equity investments was primarily driven by the deconsolidation of a joint venture with operations in APAC which is primarilyreflected in equity income effective January 1, 2021, partially offset by a $35 million impairment charge related to increased earningsa joint venture in the APAC segment in the third quarter of 2021.
On an adjusted basis, the increase in income from equity investments.investments was primarily driven by the deconsolidation of a joint venture with operations in APAC which is reflected in equity income effective January 1, 2021.
Noncontrolling interests from continuing operations
At December 31, 2019,2021, noncontrolling interests from continuing operations consisted primarily of noncontrolling shareholders’ investments in APAC (primarily in China) and surface technologies.
Reported noncontrolling interests from continuing operations increased $74$10 million, to $89from $125 million in 2019 from $152020 to $135 million in 2018,2021, primarily driven by higher income from continuing operations, partially offset by the merger. 2019 noncontrolling interests includes a $33 million impact for an asset impairment charge in the third quarter related todeconsolidation of a joint venture with operations in APAC (see Note 52 to the consolidated financial statements). and the buyout of minority shareholders in the Republic of South Africa.
On an adjusted pro forma basis,Adjusted noncontrolling interests from continuing operations increased $10decreased $36 million in 20192021 as compared to 2020, primarily driven by the deconsolidation of a joint venture with operations in APAC (See Note 2 to the consolidated financial statements) and the buyout of minority shareholders in the Republic of South Africa, which more than offset the increase from higher income from continuing operations.
Income from continuing operations
Reported income from continuing operations decreased $2,090increased $1,324 million, or 49%53%, primarily due to the 2018 gain on merger-related divestitures, partially offset by the merger. Other impacts related to interest - net; net pension and OPEB cost (benefit), excluding service cost; income taxes; income from equity investments; and noncontrolling interest largely offset in the aggregate.higher overall operating profit.
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On an adjusted pro forma basis, which excludes the impacts of purchase accounting and other non-GAAP adjustments, income from continuing operations increased $570$1,208 million, or 17%28%, in 20192021 versus 2020. The increase was primarily due to higher adjusted pro forma operating profit, lower adjusted pro forma interest expense-net, lower adjusted ETR, and higher adjusted pro forma income from equity investments.profit.
Diluted earnings per share from continuing operations
Reported diluted earnings per share from continuing operations decreased $8.79,increased $2.62, or 69%56%, in 20192021 as compared to 2018, primarily due to lower net income from continuing operations and higher diluted shares outstanding as a result of the merger.
2020. On an adjusted pro forma basis, diluted EPS of $7.34$10.69 in 20192021 increased 19%30% versus 2018,2020. The increase on both reported and adjusted basis was primarily due to higher adjusted pro forma income from continuing operations and lower diluted shares outstanding.
Employees
The number of employees at December 31, 20192021 was 79,886,72,327, a decrease of 9343%, or 1,880 employees from December 31, 20182020, primarily driven by cost reduction actions partially offset by acquisitions.and divestitures.
Other Financial Data
EBITDA increased to $7,722$9,738 million in 20192021 from $7,133$8,033 million in 2018, primarily due to the merger.
2020. Adjusted pro forma EBITDA from continuing operations increased to $8,178$10,179 million for 20192021 as compared to $7,603$8,645 million in 20182020, primarily due to higher income from continuing operations versus the prior year period.
See the "Supplemental Pro Forma Income Statement Information" for pro forma amounts and "Non-GAAP Reconciliations" for adjusted pro forma amounts sections belowFinancial Measures" section for definitions and reconciliations of these pro forma and adjusted pro forma non-GAAP measures to reported GAAP amounts.
Other Comprehensive Income (Loss)
Other comprehensive lossincome (loss) for the year ended December 31, 20192021 of $435$358 million resulted primarily from a decreasecurrency translation adjustments of $1,175 million largely offset by an increase in the funded status of the company's largest retirement programs. Drivenobligations of $746 million driven by the lowa higher discount rate environment

the other comprehensive loss of $544 million related to the remeasurement of such retirement programs was partially offset by benefits from cumulative translation adjustments. and strong asset performance. The translation adjustments reflect the impact of translating local currency foreign subsidiary financial statements to U.S. dollars, and are largely driven by the movement of the U.S. dollar against major currencies including the Euro, the Chinese yuan and the British pound. See the "Currency" section of the MD&A for exchange rates used for translation purposes and Note 97 to the consolidated financial statements for a summary of the currency translation adjustment component of accumulated other comprehensive income by segment.
2018 Compared With 2017

Sales increased 31% to $14,836 million in 2018compared to $11,358 million in 2017 primarily reflecting the merger with Linde AG which contributed 25% to sales, net of divestitures. Underlying sales increased 6% driven by higher volumes and pricing. Volume growth of 4% was driven by higher volumes in North America and Asia, including new project start-ups. Higher overall pricing across all geographic segments contributed 2% to sales. Currency translation impact decreased sales by 1%. Higher cost pass-through, primarily natural gas, increased sales by 1% with minimal impact on operating profit. The divestiture of Praxair's European businesses in December of 2018 decreased sales by 1%.
Selling, general and administrative expenses increased $422 million, or 35%, in 2018 to $1,629 million primarily due to the merger. SG&A was 11.0% of sales in 2018 versus 10.6% in 2017, primarily due to the merger.
Depreciation and amortization expense increased $646 million, or 55%, versus 2017. The increase is primarily due to the merger, including $346 million of purchase accounting impacts related to the fair value of fixed assets and intangible assets acquired in the merger.
Cost reduction programs and other charges were $309 million and $52 million in 2018 and 2017, respectively and are primarily related to the merger. See Note 5 to the consolidated financial statements.
Net gain on the sale of businesses was $3,294 million and related primarily to the divestiture of Praxair's European industrial gases business in connection with the merger. See Note 4 to the consolidated financial statements.
Other income (expenses) – net in 2018 was a $18 million benefit versus a $4 million benefit in 2017 (see Note 9 to the consolidated financial statements for a summary of major components). In North America, 2018 included a $30 million asset impairment charge which was more than offset by $43 million of gains on asset disposals. In Asia, 2018 included a $22 million asset impairment charge, offset by a litigation settlement gain.
Reported operating profit of $5,247 million in 2018 was $2,803 million, or 115% higher than reported operating profit of $2,444 million in 2017. 2018 includes a net gain on sale of businesses of $3,294 million, partially offset by transaction costs and other charges of $309 million, and purchase accounting impacts of $714 million related to the Linde AG merger (see Notes 4, 5 and 3, respectively, to the consolidated financial statements). 2017 included transaction costs of $52 million (see Note 5 to the consolidated financial statements). Excluding the impact of these items, adjusted operating profit of $2,976 million in 2018 was $480 million, or 19%, higher than adjusted operating profit of $2,496 million in 2017 driven primarily by the merger. Higher volumes and price in the geographic segments and surface technologies also contributed to operating profit growth. A discussion of operating profit by segment is included in the segment discussion that follows.
Reported interest expense – net in 2018 increased $41 million, or 25%, versus 2017. 2018 included charges of $26 million relating to the early redemption of notes and a decrease of $21 million related to purchase accounting impacts related to the fair value of debt acquired in the merger (see Notes 13 and 3 to the consolidated financial statements, respectively). Excluding these impacts, adjusted interest expense of $197 million increased $36 million, or 22%, largely attributable to interest on the debt acquired in the merger and lower capitalized interest. See Note 9 to the consolidated financial statements for further information relating to interest expense.
The reported effective tax rate ("ETR") for 2018 was 16.2% versus 44.9% in 2017. The decrease in the ETR for the 2018 period versus the U.S. statutory rate of 21% was primarily due to the impact of the sale of Praxair's European industrial gases business. The increase in the ETR for the 2017 period versus the U.S. statutory rate of 35% was primarily due to the net $394 million charge related to the Tax Act. Excluding these and other smaller impacts as set forth in the "Non-GAAP financial measures" section of this MD&A, on an adjusted basis the ETR for the 2018 and 2017 periods was 23.8% and 27.2%, respectively. The decrease was driven primarily by the impact of the Tax Act enacted in the fourth quarter of 2017 which lowered the U.S. statutory tax rate from 35% in 2017 to 21% in 2018 (see Note 7 to the consolidated financial statements).
Equity income increased $9 million in 2018 versus 2017 and included charges of $9 million for purchase accounting impacts related to the fair value step up of equity investments acquired in the merger. Excluding this impact, equity income increased $18 million, primarily driven by income from equity investments acquired in the merger.

At December 31, 2018, reported noncontrolling interests from continuing operations consisted primarily of noncontrolling shareholders’ investments in Asia (primarily in China) and surface technologies. Reported noncontrolling interests from continuing operations decreased $46 million to $15 million in 2018 from $61 million in 2017. 2018 includes the impact of the merger and related purchase accounting impacts. Excluding these impacts, adjusted noncontrolling interests from continuing operations of $73 million increased $12 million, or 20%, primarily due to noncontrolling interests acquired in the merger.
Reported income from continuing operations for 2018 was $4,273 million, $3,026 million, or 243%, higher than reported income from continuing operations of $1,247 million in 2017. Adjusted income from continuing operations of $2,121 million in 2018 was $431 million, or 26%, higher than adjusted income from continuing operations of $1,690 million in 2017 primarily due to higher adjusted operating profit and a lower effective tax rate.
Reported diluted earnings per share from continuing operations ("EPS") of $12.79 in 2018 increased $8.47 per diluted share, or 196% from $4.32 in 2017. Adjusted diluted EPS of $6.35 in 2018 increased $.50 per diluted share, or 9%, from adjusted diluted EPS of $5.85 in 2017. The increase in adjusted diluted EPS was primarily due to the merger and higher adjusted income from continuing operations, partially offset by an increase in diluted shares resulting from equity acquired in the merger.
Other comprehensive losses for the year ended December 31, 2018 of $299 million resulted primarily from (i) a $221 million unfavorable impact in the funded status of Linde's retirement obligations and (ii) adverse currency translation adjustments of $76 million, net of a benefit of $318 million related to the release of currency translation adjustments on Praxair's European business (See Note 4 to the consolidated financial statements). The decrease in the funded status of retirement obligations was primarily the result of higher current year actuarial losses, as the impact of higher U.S. discount rates was largely offset by a lower actual return on assets. Unfavorable translation adjustments reflect the impact of translating local currency foreign subsidiary financial statements into U.S. dollars, and are largely driven by the strengthening of the U.S. dollar against major currencies including the Euro, Brazilian real and Canadian dollar.
Unfavorable currency translation adjustments included $343 million in South America and $149 million in Asia, partially offset by favorable currency translation adjustments of $231 million related to Linde AG (primarily Europe and Asia) representing translation impacts for the period from merger date through December 31, 2018. Remaining other comprehensive losses of $2 million relate to the amortization of deferred losses on the company's derivatives and unrealized losses on available for sale securities. Refer to the Currency section of the MD&A and Notes 9 and 18 to the consolidated financial statements.
The number of employees at December 31, 2018 was 80,820, an increase of 54,359 employees from December 31, 2017 primarily driven by an increase of approximately 56,000 related to the merger partially offset by a decrease of approximately 2,500 from the divestiture of Praxair's European industrial gases business.
Other Financial Data
Earnings before interest taxes depreciation and amortization ("EBITDA") increased $3,458 million to $7,133 million in 2018 from $3,675 million in 2017. EBITDA in 2018 includes a gain on sale of businesses and purchase accounting impacts, and both periods include transaction and other costs. Excluding the impacts of these items, adjusted EBITDA increased $789 million to $4,516 million in 2018 from $3,727 million in 2017 driven by the consolidation of Linde AG starting October 31, 2018, and higher adjusted income from continuing operations plus depreciation and amortization versus the prior year.
See the “Non-GAAP Financial Measures” section for definitions and reconciliation of these non-GAAP measures to reported amounts.

Related Party Transactions
The company’s related parties are primarily unconsolidated equity affiliates. The company did not engage in any material transactions involving related parties that included terms or other aspects that differ from those which would be negotiated with independent parties.

Environmental Matters

Linde’s principal operations relate to the production and distribution of atmospheric and other industrial gases, which historically have not had a significant impact on the environment. However, worldwide costs relating to environmental

protection may continue to grow due to increasingly stringent laws and regulations, and Linde's ongoing commitment to rigorous internal standards. In addition, Linde may face physical risks from climate change and extreme weather.

Climate Change

Linde operates in jurisdictions that have, or are developing, laws and/or regulations to reduce or mitigate the perceived adverse effects of greenhouse gas ("GHG") emissions and faces a highly uncertain regulatory environment in this area. For example, the U.S. Environmental Protection Agency ("EPA") has promulgated rules requiring reporting of GHG emissions, and Linde and many of its suppliers and customers are subject to these rules. EPA has also promulgated regulations to restrict GHG emissions, including final rules regulating GHG emissions from light-duty vehicles and certain large manufacturing facilities, many of which are Linde suppliers or customers. In addition to these developments in the United States, GHGs are regulated in the European Union under the Emissions Trading System,several other countries worldwide have already implemented carbon taxation or trading systems which has wide implications forimpact the company's customers and may impact certain operations of Linde in Europe. There are also requirements for mandatory reporting in Canada, which apply to certain Linde operations, including regulations in China, Singapore and will be used in developing cap-and-trade regulations on GHG emissions. These regulations are expected to impact certain Linde facilities in Canada. Climate change and energy efficiency laws and policies are also being widely introduced in jurisdictions throughout Latin America and parts of Asia. China has announced plans to implement its national carbon emissions trading system in 2020, though it does not appear the regulations will have a direct impact on GHG emissions from Linde facilities.European Union. Among other impacts, such regulations are expected to raise the cost of energy, which is a significant cost for Linde. Nevertheless, Linde's long-term customer contracts routinely provide rights to recover increased electricity, natural gas, and other costs that are incurred by the company as a result of climate change regulation.

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Linde anticipates continued growth in its hydrogen business asdue to increased focus on lowering GHG emissions. Traditionally, hydrogen is essential to refineries that use it to remove sulfur from transportation fuels in order to meet ambient air quality standards in the United States and fuel standards in other regions. Hydrogen production plants and a large number of other manufacturing and electricity-generating plants have been identified in California and the European Union as a source of carbon dioxide emissions and these plants are subject to cap-and-trade regulations in those jurisdictions. Linde believes it will be able to mitigate the costs of these regulations through the terms of its product supply contracts. However, legislation that limits GHG emissions may impact growth by increasing capital, compliance, operating and maintenance costs and/or decreasing demand.

To manage business risks from current and potential GHG emission regulation as well as physical consequences of climate change, Linde actively monitors current developments, evaluates the direct and indirect business risks, and takes appropriate actions. Among others, actions include: increasing relevant resources and training; maintaining contingency plans; obtaining advice and counsel from expert vendors, insurance providers and industry experts; incorporating GHG provisions in commercial agreements; and conducting regular reviews of the business risks with management. Although there are considerable uncertainties, Linde believes that the business risk from potential regulations can be effectively managed through its commercial contracts. Additionally, Linde does not anticipate any material effects regarding its plant operations or business arising from potential physical risks of climate change.

Linde continuously seeks opportunities to optimize energy use and GHG footprintemissions through research and development in customer applications and rigorous operational energy efficiency, investment insourcing renewable energy, and purchasing hydrogen as a chemical byproduct where feasible. Linde maintains relatedtracks GHG emission performance improvementversus targets and reports progress against these targets regularly to business management and annually to Linde's Board of Directors. Effective November 2021, a new Sustainability Committee was created. The Committee is responsible for Board oversight of the Company's programs, policies and strategies related to environmental matters generally, including climate change, greenhouse gas reduction goals and decarbonization solutions, such as clean hydrogen and carbon capture.

At the same time, external factors may provide Linde may benefit fromwith future business opportunities arising fromopportunities. Examples of such factors include governmental regulation of GHG and other emissions; uncertain costs of energy and certain natural resources; the development of renewable energy alternatives; and new technologies that help extract natural gas, improve air quality, increase energy efficiency and mitigate the impacts of climate change. Linde continues to develop new applications that can lower emissions including GHG emissions, in Linde's processes and help customers lower energy consumption and increase product throughput. Stricter regulation of water quality in emerging economies such as China provide a growing market for a number of gases, e.g., oxygen for wastewater treatment. Increased concern about drought in areas such as California and Australia may create additional markets for carbon dioxide for desalination. Renewable fuel standards in the European Union and U.S. can create a market for second-generation biofuels which use industrial gases such as oxygen, carbon dioxide, and hydrogen.

Costs Relating to the Protection of the Environment

Environmental protection costs in 20192021 were not significant. Linde anticipates that future annual environmental protection expenditures will be similar to 2019,2021, subject to any significant changes in existing laws and regulations. Based

on historical results and current estimates, management does not believe that environmental expenditures will have a material adverse effect on the consolidated financial position, the consolidated results of operations or cash flows in any given year.

Legal Proceedings
See Note 1917 to the consolidated financial statements for information concerning legal proceedings.
Retirement Benefits
Pensions
The net periodic benefit cost (benefit) for the U.S. and internationalnon-U.S. pension plans was a benefit of $35 million and $28 million in 2021 and 2020, respectively, and costs of $107 million in 2019. 2019 $24 million in 2018 and $58 million in 2017. The net periodic pension cost for 2019 includesincluded pension settlement charges of $97 million related to lump sum payments, which were triggered by either a change in control provision or merger-related divestitures, and a net curtailment charge of $8 million for termination benefits, primarily in connection with a defined benefit pension plan freeze. Settlement charges for 2018 and 2017 were $14$4 million and $2$6 million for 2021 and 2020, respectively.
The funded status (pension benefit obligation ("PBO") less the fair value of plan assets) for the U.S. plans was a deficit of $504$135 million as of December 31, 2019 and a deficit of $556$436 million at December 31, 2018.2021 and 2020, respectively. The funded status for internationalnon-U.S. plans was a deficit of $1,801$1,409 million as of December 31, 2019 and a deficit of $1,241$2,334 million at December 31, 2018. In2021 and 2020, respectively. Both the U.S., and non-U.S.
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plans derived the benefit from the actual return on plan assets, more than offset the impacts of unfavorable liability experience, resultingas well as favorability generated from the lowa lower PBO due to an increase in discount rate environment. For the international plans, the unfavorable impact of lower discount rates outweighed favorable plan asset experience.rates.
Global pension contributions were $42 million in 2021, $91 million in 2020, and $94 million in 2019, $87 million in 2018 and $19 million in 2017.2019. At a minimum, Linde contributes to its pension plans to comply with local regulatory requirements (e.g., ERISA in the United States)U.S.). Discretionary contributions in excess of the local minimum requirements are made based on many factors, including long-term projections of the plans' funded status, the economic environment, potential risk of overfunding, pension insurance costs and alternative uses of cash. Changes to these factors can impact the timing of discretionary contributions from year to year. Estimated required contributions for 20202021 are currently expected to be in the range of $50$40 million to $80$50 million.
Linde assumes expected returns on plan assets for 20202022 of 7.00% and 5.31% for5.54% for the U.S. and internationalnon-U.S. plans, respectively, which are consistent with the long-term expected returns on its investment portfolios.
Excluding the impact of any settlements, 20202022 consolidated pension expense is expected to be a benefit of approximately $45 million. The$91 million. The benefit derived from the expected return on assets assumption for Linde's most significant plans is anticipated to more than offset the expense from service and interest cost accruals and the higher amortization of deferred losses.
Refer to the Critical Accounting Policies section and Note 1816 to the consolidated financial statements for a more detailed discussion of the company’s retirement benefits, including a description of the various retirement plans and the assumptions used in the calculation of net periodic benefit cost (benefit) and funded status.
Insurance
Linde purchases insurance to limit a variety of property and casualty risks, including those related to property, business interruption, third-party liability and workers’ compensation. Currently, the company self retains up to $10 million per occurrence for vehicle liability in the United States, $5 million per occurrence for workers' compensation and general liability. In addition, the company self retains risk up to $5€5 million at its various properties worldwide for property damage resulting from fire, flood and other perils effectingaffecting its properties along with a separate $5€5 million deductible on all business interruption resulting from a major peril loss. To mitigate its aggregate loss potential above these retentions, the company purchases catastrophic insurance coverage from highly rated insurance companies. The company does not currently operate or participate in any captive insurance companies or other non-traditional risk transfer alternatives.
At December 31, 20192021 and 2018,2020, the company had recorded a total of $66$75 million and $60$71 million, respectively, representing an estimate of the retained liability for the ultimate cost of claims incurred and unpaid as of the balance sheet dates. The estimated liability is established using statistical analysis and is based upon historical experience, actuarial assumptions and professional judgment. These estimates are subject to the effects of trends in loss severity and frequency and are subject to a significant degree of inherent variability. If actual claims differ from the company’s estimates, they will be adjusted at that time and financial results could be impacted.
Linde recognizes estimated insurance proceeds relating to damages at the time of loss only to the extent of incurred losses. Any insurance recoveries for business interruption and for property damages in excess of the net book value of the property are recognized only when realized or pending payments confirmed by its insurance companies.

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SEGMENT DISCUSSION
Effective October 31, 2018, Praxair and Linde AG completed the previously announced merger, resulting in the formation of Linde plc (see Note 1 to the consolidated financial statements for additional information on the merger). As a result of the merger and effective with the lifting of the hold separate order effective on March 1, 2019, new operating segments were created which are used by the company's Chief Operating Decision Maker ("CODM") to allocate company resources and assess performance. Linde’s operations consist of two major product lines: industrial gases and engineering. As further described in the following paragraph, Linde’s industrial gases operations are managed on a geographic basis, which represents three of the company's new reportable segments - Americas, EMEA (Europe/Middle East/Africa), and APAC (Asia/South Pacific); a fourth reportable segment which represents the company's Engineering business which designs and manufactures equipment for air separation and other industrial gas applications specifically for end customers and is managed on a worldwide basis operating in all geographic segments. Other consists of corporate costs and a few smaller businesses which individually do not meet the quantitative thresholds for separate presentation.
The industrial gases product line centers on the manufacturing and distribution of atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). Many of these products are co-products of the same manufacturing process. Linde manufactures and distributes nearly all of its products and manages its customer relationships on a regional basis. Linde’s industrial gases are distributed to various end-markets within a regional segment through one of three basic distribution methods: on-site or tonnage; merchant or bulk; and packaged or cylinder gases. The distribution methods are generally integrated in order to best meet the customer’s needs and very few of its products can be economically transported outside of a region. Therefore, the distribution economics are specific to the various geographies in which the company operates and are consistent with how management assesses performance.
The company’s measure of profit/loss for segment reporting purposes remains unchanged - Segmentis segment operating profit. Segment operating profit is defined as operating profit excluding purchase accounting impacts of the Linde AG merger, intercompany royalties, and items not indicative of ongoing business trends. This is the manner in which the company’s CODMChief Operating Decision Maker ("CODM") assesses performance and allocates resources. For a description of Linde's previous operating segments, refer to Note 20 to the consolidated financial statements of Linde's 2018 Annual Report on Form 10-K.

The table below presents sales and operating profit information about reportable segments and Other for the yearyears ended December 31, 2019, 20182021 and 2017. The year ended December 31, 2019 reflects the results2020.
(Millions of dollars)
Year Ended December 31,
20212020Variance
Sales
Americas$12,103 $10,459 16 %
EMEA7,643 6,449 19 %
APAC6,133 5,687 %
Engineering2,867 2,851 %
Other2,047 1,797 14 %
Total sales$30,793 $27,243 13 %
Operating Profit
Americas$3,368 $2,773 21 %
EMEA1,889 1,465 29 %
APAC1,502 1,277 18 %
Engineering473 435 %
Other(56)(153)63 %
Segment operating profit7,176 5,797 24 %
Reconciliation to reported operating profit :
Cost reduction programs and other charges (Note 3)(273)(506)
Purchase accounting impacts - Linde AG(1,919)(1,969)
Total operating profit$4,984 $3,322 




27

Table of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting (See Notes 1, 3 and 4 to the consolidated financial statements). The historical periods prior to 2018 reflect the results of Praxair. Prior periods presented have been recast to be consistent with the new segment structure.:Contents

Reported Variance
(Millions of dollars)
Year Ended December 31,
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
Sales         
Americas$10,993
 $8,017
 $7,204
 37% 11%
EMEA6,643
 2,644
 1,520
 151% 74%
APAC5,839
 2,446
 1,571
 139% 56%
Engineering2,799
 459
 N/A N/M N/A
Other1,954
 1,270
 1,063
 54% 19%
 $28,228
 $14,836
 $11,358
 90% 31%
Operating Profit         
Americas$2,578
 $2,053
 $1,854
 26% 11%
EMEA1,367
 481
 317
 184% 52%
APAC1,198
 465
 329
 158% 41%
Engineering390
 14
 N/A N/M N/A
Other(245) (37) (4) N/M N/M
Segment operating profit5,288
 2,976
 2,496
 78% 19%
Reconciliation to reported operating Profit :         
Cost reduction programs and other charges (Note 5)(567) (309) (52)    
Net gain on sale of businesses164
 3,294
 N/A    
Purchase accounting impacts - Linde AG(1,952) (714) N/A    
Total operating profit$2,933
 $5,247
 $2,444
    
Pro Forma Variance
(Dollar amounts in millions)
Year Ended December 31,
2019 2018 2019 vs. 2018
Sales     
Americas$10,989
 $10,539
 4 %
EMEA6,643
 6,991
 (5)%
APAC5,779
 5,950
 (3)%
Engineering2,799
 2,792
  %
Other1,953
 1,812
 8 %
 $28,163
 $28,084
  %
Operating Profit     
Americas$2,577
 $2,433
 6 %
EMEA1,367
 1,344
 2 %
APAC1,184
 1,029
 15 %
Engineering390
 285
 37 %
Other(246) (295) (17)%
Segment operating profit$5,272
 $4,796
 10 %


Americas
(Dollar amounts in millions)Variance
Year Ended December 31,202120202021 vs. 2020
Sales$12,103 $10,459 16 %
Operating profit$3,368 $2,773 21 %
As a percent of sales27.8 %26.5 %
   Variance
(Dollar amounts in millions)
Year Ended December 31,
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
          
Reported sales$10,993
 $8,017
 $7,204
 37% 11%
Pro forma sales$10,989
 $10,539
 N/A 4% N/A
          
Reported operating profit$2,578
 $2,053
 $1,854
 26% 11%
As a percent of sales23.5% 25.6% 25.7%    
Pro forma operating profit$2,577
 $2,433
 N/A 6% N/A
As a percent of sales23.5% 23.1% N/A    
  2019 vs. 2018 2018 vs. 2017 
  % Change % Change 
  Reported Pro forma Reported 
Factors Contributing to Changes - Sales       
Volume/Equipment  % 1 % 3 % 
Price/Mix 3 % 3 % 2 % 
Cost pass-through (1)% (1)% 1 % 
Currency (2)% (2)% (2)% 
Acquisitions/Divestitures 37 % 3 % 7 % 
  37 % 4 % 11 % 
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume%
Price/Mix%
Cost pass-through%
Currency%
Acquisitions/Divestitures— %
16 %
The Americas segment includes Linde’s industrial gases operations in approximately 20 countries including the United States, Canada, Mexico and Brazil.
Sales
Reported salesSales for the Americas segment for 2019 increased $2,976$1,644 million, or 37%16%, in 2021 versus 2018, primarily due to the merger. On a pro forma basis, sales increased $450 million, or 4%, versus 2018.
On a reported basis, sales increased 37% in 2019 primarily due to the merger.2020. Higher pricing contributed 3% to sales. Unfavorable currency translation decreasedHigher volumes increased sales by 2%9%, led by higher demand across all end markets and project start-ups. Currency translation increased sales by 1%, primarily driven by the weakeningstrengthening of the Brazilian real,Canadian dollar and Mexican peso and Canadian dollar against the U.S. Dollar. Lower costCost past-through primarily natural gas, decreasedincreased sales by 1%3% with minimal impact on operating profit.
On a pro forma basis, volume growth contributed 1% to sales in 2019 as compared to 2018 primarily driven by base volume growth in the United States and Latin America and project start ups in the United States Gulf Coast. Higher pricing contributed 3% to sales. Currency translation decreased sales by 2%. Acquisitions and divestitures increased sales by 3%, related primarily to acquisitions in North America. Lower cost pass-through decreased sales by 1% with minimal impact on operating profit.
Reported sales for 2018 increased $813 million, or 11%, versus 2017 primarily due to the merger which contributed 7% to sales. Underlying sales growth was 4%, driven by higher volumes and higher price. Unfavorable currency impacts decreased sales by 2%. Higher cost pass-through increased sales by 1% with minimal impact on operating profit.

Operating Profit
Reported operating profit for the Americas segment for 2019 increased $525 million, or 26% from 2018, due primarily to the merger. On a pro forma basis, operating profit increased $144 million, or 6%, for 2019 as compared to 2018.
On a reported basis, operating profit increased 26% in 2019 largely driven by the merger and higher pricing, partially offset by unfavorable currency translation impacts of 2%.

Pro forma operatingOperating profit in the Americas segment increased $144 million for 2019, or 6%, versus the 2018 period. Operating growth from higher volumes, higher price and acquisitions was partially offset by unfavorable currency translation impacts of 2% in the year. The 2018 year also included net gains on asset disposals of approximately $20 million.
Reported operating profit for 2018 increased $199$595 million, or 11%21%, drivenin 2021 versus 2020. Operating profit increased due primarily by the merger,to higher pricing and volumes and higher price partially offset by unfavorable currency translation. The 2018 period also included net gains on asset disposals of $13 million.continued productivity initiatives.

EMEA 
(Dollar amounts in millions) Variance
Year Ended December 31,202120202021 vs. 2020
Sales$7,643 $6,449 19 %
Operating profit$1,889 $1,465 29 %
As a percent of sales24.7 %22.7 %
(Dollar amounts in millions)
Year Ended December 31,
  Variance
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
          
Reported sales$6,643
 $2,644
 $1,520
 151 % 74%
Pro forma sales$6,643
 $6,991
 N/A (5)% N/A
          
Reported operating profit$1,367
 $481
 $317
 184 % 52%
As a percent of sales20.6% 18.2% 20.9%    
Pro forma operating profit$1,367
 $1,344
 N/A 2 % N/A
As a percent of sales20.6% 19.2% N/A    
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume%
Price/Mix%
Cost pass-through%
Currency%
Acquisitions/Divestitures(1)%
19 %
28

  2019 vs. 2018 2018 vs. 2017 
  % Change % Change 
  Reported Pro forma Reported 
Factors Contributing to Changes       
Volume (1)% (1)% 1% 
Price/Mix 1 % 2 % 2% 
Cost pass-through (1)%  % 2% 
Currency (1)% (6)% 4% 
Acquisitions/Divestitures 153 %  % 65% 
  151 % (5)% 74% 
Table of Contents
The EMEA segment includes Linde's industrial gases operations in approximately 45 European, Middle Eastern and African countries including Germany, France, Sweden, the Republic of South Africa, and the United Kingdom.U.K.
Sales
On a reported basis, EMEA segment sales increased by $3,999$1,194 million, or 151%19%, in 2019 as compared to 2018, primarily2021 versus 2020. Volumes increased 5% driven by increased demand across all end markets. Currency translation increased sales by 5% due to the merger, net of related divestitures. On a pro forma basis, sales decreased $348 million, or 5%, in 2019 versus 2018.
On a reported basis, sales increased 151% in 2019 driven primarily by the net impact of the merger with Linde AG and the related divestiture of Praxair's European gases business in the fourth quarter of 2018. Excluding this net impact, sales decreased 2%. Volumes decreased 1% driven by weaker industrial production. Higher price contributed 1% to sales. Unfavorable currency translation and cost pass-through each decreased sales by 1%.
On a pro forma basis, sales decreased 5% in 2019, primarily driven by unfavorable currency translation due to the weakeningstrengthening of the Euro, British pound and South African randSwedish Krona against the U.S. Dollar which decreaseddollar. Higher price contributed 4% to sales. Cost pass-through, representing the contractual billing of energy cost variances primarily to onsite customers increased sales by 6% . Higher price increased sales by 2%. Volumes decreased 1% driven by weaker industrial production.
Reported sales increased $1,124 million, or 74%, in 2018 driven primarily by the merger, net of related divestitures. Excluding the impact of the merger and related divestitures, sales increase 9% from 2017. Higher cost pass-through

increased sales by 2% with minimal impact on operating profit. Favorable currency translation increased sales by 4%. Higher volumes and higher price increased sales bySales decreased 1% and 2%, respectively.related to the divestiture of a non-core business in Scandinavia.
Operating Profit
On a reported basis, operating profitOperating Profit for the EMEA segment increased by $886$424 million, or 184%29%, in 2019 as compared to 2018. On a pro forma basis, operating profit increased $23 million, or 2%, in 20192021 versus the respective 2018 period.
On a reported basis, operating profit increased 184% in 2019,2020 driven primarily by the net impact of the merger with Linde AG and the related divestiture of Praxair's European gases business in the fourth quarter of 2018.
On a pro forma basis, operating profit increased 2% in 2019 as compared to 2018 as higher pricing and the impact of cost reduction actions more than offset the impacts of unfavorable currency translation and cost inflation.
Reported operating profit increased $164 million, or 52%, in 2018 driven primarily by the merger, net of related divestitures. Favorable currency translation increased operating profit by 5%. Excluding the impact of the merger and related divestitures and currency, operating profit increased driven by higher price and higher volumes partially offset by cost inflation.and continued productivity initiatives.

APAC
(Dollar amounts in millions) Variance
Year Ended December 31,202120202021 vs. 2020
Sales$6,133 $5,687 %
Operating profit$1,502 $1,277 18 %
As a percent of sales24.5 %22.5 %
(Dollar amounts in millions)
Year Ended December 31,
  Variance
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
          
Reported sales$5,839
 $2,446
 $1,571
 139 % 56%
Pro forma sales$5,779
 $5,950
 N/A (3)% N/A
          
Reported operating profit$1,198
 $465
 $329
 158 % 41%
As a percent of sales20.5% 19.0%      
Pro forma operating profit$1,184
 $1,029
 N/A 15 % N/A
As a percent of sales20.5% 17.3% N/A    
  2019 vs. 2018 2018 vs. 2017
  % Change % Change
  Reported Pro forma Reported
Factors Contributing to Changes      
Volume 4 % 1 % 9%
Price/Mix 2 % 2 % 2%
Cost pass-through  % (1)% 1%
Currency (3)% (4)% 1%
Acquisitions/Divestitures 136 % (1)% 43%
  139 % (3)% 56%
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume/Equipment11 %
Price/Mix%
Cost pass-through%
Currency%
Acquisitions/Divestitures(12)%
%
The APAC segment includes Linde's industrial gases operations in approximately 20 Asian and South Pacific countries and regions including China, Australia, India and South Korea and Taiwan.

Korea.
Sales
On a reported basis,Sales for the APAC segment sales increased by $3,393$446 million, or 139%8%, in 2019 as compared to 2018, primarily due to the merger. On a pro forma basis, sales decreased $171 million, or 3%, in 20192021 versus 2018.

On a reported basis, sales2020. Volumes increased 139% in 201911% driven by the merger. Unfavorable currency translation decreasedincreased demand across all end markets, led by cyclical end markets and electronics and project start-us. Higher price increased sales by 3%,2%. Currency translation increased sales by 5% driven primarily by the weakeningstrengthening of the Chinese yuan, Australian dollar and Korean won and Indian rupee against the U.S. Dollar. Excluding the impacts of the merger and currency, sales increased by 6% driven by higher base volumes, new project start ups and higher price.
On a pro forma basis, sales decreased 3% in 2019. Higher pricingdollar. Cost pass-through increased sales by 2%. Higher volumes contributed 1% to sales driven by higher base volumes and new project start-ups. Currency translation decreased sales by 4%. Lower cost pass-through decreased sales by 1% with minimal impact on operating profit. Acquisitions and divestituresDivestitures decreased sales by 1%.
Reported sales12% primarily due to the deconsolidation of a joint venture with operations in 2018 increased $875 million, or 56%, versus 2017 driven primarily by the mergerTaiwan which contributed 43% to sales. Cost pass-through, primarily energy, and currency impacts each increaseddecreased sales by 1%. Volume growth of 9% was primarily attributable$639 million (See Note 2 to base volume growth in China, Korea and India and new project start-ups in China. Higher price increased sales by 2% driven by China.the consolidated financial statements).
Operating Profit
On a reported basis, operatingOperating profit forin the APAC segment increased by $733$225 million, or 158%18%, in 2019 as compared to 2018, due primarily to the merger. On a pro forma basis, operating profit increased $155 million, or 15%, in 20192021 versus the respective 2018 period.
On a reported basis, operating profit increased 158% in 2019, driven by the net impact of the merger with Linde AG. Unfavorable currency translation decreased operating profit by 3% for the year. Excluding the merger2020. Higher volumes and currency impacts, operating profit growth was driven by higher price, and cost reduction programs.
On a pro forma basis, operating profit increased 15% in 2019 as compared to 2018. Unfavorable currency translation decreased operating profit by 5% in the year. Excluding currency impacts, operating growth was driven by higher price and cost reduction programs.
Reported operating profit in 2018 increased $136 million, or 41%, versus 2017 driven primarily by the merger, higher volumes and price. Operating profit for 2018 included a $22 million asset impairment charge,continued productivity initiatives were partially offset by a litigation settlement gain.$126 million reduction due to the deconsolidation of the joint venture with operations in Taiwan.



29


Engineering
(Dollar amounts in millions) Variance
Year Ended December 31,202120202021 vs. 2020
Sales$2,867 $2,851 %
Operating profit$473 $435 %
As a percent of sales16.5 %15.3 %
(Dollar amounts in millions)
Year Ended December 31,
  Variance
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
          
Reported sales$2,799
 $459
 N/A 510% 100%
Pro forma sales$2,799
 $2,792
 N/A % N/A
          
Reported operating profit$390
 $14
 N/A N/M
 100%
As a percent of sales13.9% 3.1%      
Pro forma operating profit$390
 $285
 N/A 37% N/A
As a percent of sales13.9% 10.2% N/A    

  2019 vs. 2018 2018 vs. 2017
  % Change % Change
  Reported Pro forma Reported
Factors Contributing to Changes      
Volume/Price 8 % 4 % %
Currency (2)% (4)% %
Acquisitions/Divestitures 504 %  % 100%
  510 %  % 100%
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume(3)%
Currency%
%
Sales
Reported Engineering segment sales increased $2,340$16 million, or 510%1%, in 2019 as compared to the respective 2018 period. On a pro forma basis, segment sales increased $7 million in 2019 as compared to the respective 2018 period.
On a reported basis, 2019 sales increased 510% in year primarily related to the merger of the Linde Engineering business. Excluding the impact of the merger, volume growth of 8% was2021 versus 2020, driven by project timing, partially offset by unfavorable currency translation of 2%.

On a pro forma basis, 2019impacts which increased sales were flat versus 2018 as volume growth ofby 4% was offset by unfavorable currency translation of 4%.

Reported sales for 2018 increased 100% versus 2017 due to the merger of the Linde Engineering business.
Operating profit

Reported Engineering segment operating profit increased $376$38 million, or 2,686%9%, in 20192021 versus 2018. On a pro forma basis, operating profit increased $105 million, or 37%, in 2019 versus 2018.2020 driven primarily by currency, favorable cost performance and project timing.

On a reported basis, operating profit increased in 2019 related primarily to the merger of the Linde Engineering business.

On a pro forma basis, operating profit increased 37% for the year. Unfavorable currency translation decreased operating profit by 4% in 2019. Excluding the impact of currency, operating profit increased due to timing of project completion, favorable costs and procurement savings.

Reported operating profit for 2018 increased 100% versus 2017 due to the merger of the Linde Engineering business.



Other 
(Dollar amounts in millions) Variance
Year Ended December 31,202120202021 vs. 2020
Sales$2,047 $1,797 14 %
Operating profit$(56)$(153)63 %
As a percent of sales(2.7)%(8.5)%
(Dollar amounts in millions)
Year Ended December 31,
  Variance
2019 2018 2017 2019 vs. 2018 2018 vs. 2017
          
Reported sales$1,954
 $1,270
 $1,063
 54 % 19%
Pro forma sales$1,953
 $1,812
 N/A 8 % N/A
          
Reported operating profit$(245) $(37) $(4) (562)% 825%
As a percent of sales(12.5)% (2.9)%      
Pro forma operating profit$(246) $(295) N/A
 17 % N/A
As a percent of sales(12.6)% (16.3)% N/A
    
  2019 vs. 2018 2018 vs. 2017
  % Change % Change
  Reported Pro forma Reported
Factors Contributing to Changes      
Volume/Price 9 % 12 % 8%
Currency (2)% (4)% 2%
Acquisitions/Divestitures 47 %  % 9%
  54 % 8 % 19%
2021 vs. 2020
% Change
Factors Contributing to Changes - Sales
Volume/Price11 %
Cost pass-through— %
Currency%
Acquisitions/Divestitures— %
14 %
Other consists of corporate costs and a few smaller businesses including: Surface Technologies, GIST, and global helium wholesale, and Electronic Materials;wholesale; which individually do not meet the quantitative thresholds for separate presentation.



30

Sales
Reported sales
Sales for Other increased $684$250 million, or 54%14%, for the 2019 yearin 2021 versus the respective 2018 period, primarily due to the merger. On a pro forma basis, sales increased $141 million, or 8%, for 2019 versus the respective 2018 periods.

On a reported basis, sales increased 54% for the year, primarily due to the merger which increased sales by 47%.2020. Higher volumes and price increased sales by 9% in the year, primarily driven by higher surface technologies volumes to the aerospace and manufacturing end-markets and higher price.11%. Currency translation decreased sales by 2% for the year.

On a pro forma basis, sales increased 8% for 2019. Volume and price growth increased sales by 12%, driven by helium and surface technologies. Currency translation decreased sales by 4%3%.

Reported sales for 2018 increased $207 million, or 19%, versus 2017 driven primarily by the merger. Excluding the impact of the merger, underlying sales increased driven by surface technologies volumes to the aerospace and manufacturing end-markets and higher price.

Operating profit
Reported operating
Operating profit in Other decreased $208increased $97 million, or 63%, in 20192021 versus the respective 2018 periods,2020, due primarily to the merger. On a pro forma basis, operating loss improved $49 million, or 17%, when comparing 2019 to the 2018 period.volume growth, higher price and continued productivity initiatives.

On a reported basis, operating profit decreased $208 million primarily related to the merger as operating profit increases from higher volumes and price were more than offset by the merger of Linde AG corporate.

On a pro forma basis, operating profit improved $49 million in the year. Higher volumes, helium pricing and cost reduction actions improved operating profit which was partially offset by higher helium sourcing costs.


Reported operating profit for 2018 decreased $33 million versus 2017 primarily related to the merger as operating profit increases from higher volumes and price were more than offset by the merger of Linde AG corporate.

Currency
The results of Linde’s non-U.S. operations are translated to the company’s reporting currency, the U.S. dollar, from the functional currencies used in the countries in which the company operates. For most foreign operations, Linde uses the local currency as its functional currency. There is inherent variability and unpredictability in the relationship of these functional currencies to the U.S. dollar and such currency movements may materially impact Linde’s results of operations in any given period.
To help understand the reported results, the following is a summary of the significant currencies underlying Linde’s consolidated results and the exchange rates used to translate the financial statements (rates of exchange expressed in units of local currency per U.S. dollar): 
  
Percent of 2021Statements of IncomeBalance Sheets
  
ConsolidatedAverage Year Ended December 31,December 31,
CurrencySales2021202020212020
Euro21 %0.85 0.88 0.88 0.82 
Chinese yuan%6.45 6.90 6.36 6.53 
British pound%0.73 0.78 0.74 0.73 
Australian dollar%1.33 1.45 1.38 1.30 
Brazilian real%5.39 5.11 5.58 5.20 
Korean won%1,144 1,178 1,189 1,087 
Canadian dollar%1.25 1.34 1.26 1.27 
Mexican peso%20.28 21.35 20.53 19.91 
Indian rupee%73.91 74.08 74.34 73.07 
Republic of South African rand%14.77 16.37 15.94 14.69 
Swedish krona%8.58 9.18 9.05 8.23 
Thailand bhat%31.93 31.28 33.40 29.96 
Russian ruble%73.69 71.95 74.68 74.04 
  
Percent of
2019
Consolidated
Sales
 Statements of Income Balance Sheets
  
Average Year Ended December 31,     December 31,
Currency2019 2018 2017 2019 2018
Euro20% 0.89
 0.85
 0.89
 0.89
 0.87
Chinese yuan7% 6.90
 6.60
 6.76
 6.96
 6.88
British pound6% 0.78
 0.75
 0.78
 0.75
 0.78
Australian dollar4% 1.44
 1.34
 N/A
 1.42
 1.42
Brazilian real4% 3.94
 3.63
 3.19
 4.03
 3.87
Korean won3% 1,165
 1,100
 1,131
 1,156
 1,111
Canadian dollar3% 1.33
 1.30
 1.30
 1.30
 1.36
Mexican peso2% 19.24
 19.20
 18.86
 18.93
 19.65
Taiwan dollar2% 30.90
 30.13
 30.43
 29.99
 30.55
Indian rupee2% 70.40
 68.00
 65.00
 71.38
 69.77
South African rand1% 14.43
 13.16
 N/A
 14.00
 14.35
Swedish kroner1% 9.45
 8.68
 8.53
 9.37
 8.85
Thailand bhat1% 31.04
 32.30
 33.91
 29.71
 32.33
31

Table of Contents

LIQUIDITY, CAPITAL RESOURCES AND OTHER FINANCIAL DATA 
(Millions of dollars)
Year Ended December 31,
20212020
Net Cash Provided by (Used for)
Operating Activities
Income from continuing operations (including noncontrolling interests)$3,956 $2,622 
Non-cash charges (credits):
    Add: Cost reduction programs and other charges, net of payments (a)98 258 
    Add: Depreciation and amortization4,635 4,626 
    Add (Less): Deferred income taxes(254)(369)
    Add (Less): non-cash charges and other109 285 
        Income from continuing operations adjusted for non-cash charges and other8,544 7,422 
Less: Pension contributions(42)(91)
Add (Less): Working capital1,148 364 
Add (Less): Other75 (266)
Net cash provided by operating activities$9,725 $7,429 
Investing Activities
Capital expenditures$(3,086)$(3,400)
Acquisitions, net of cash acquired(88)(68)
Divestitures and asset sales, net of cash divested167 482 
Net cash provided by (used for) investing activities$(3,007)$(2,986)
Financing Activities
Debt increases (decreases) – net$(514)$1,313 
Issuances (purchases) of ordinary shares – net(4,562)(2,410)
Cash dividends – Linde plc shareholders(2,189)(2,028)
Noncontrolling interest transactions and other(323)(220)
Net cash (used) for financing activities$(7,588)$(3,345)
Effect of exchange rate changes on cash$(61)$(44)
Cash and cash equivalents, end-of-period$2,823 $3,754 
(Millions of dollars) 
Year Ended December 31,
2019 2018 2017
Net Cash Provided by (Used for)     
Operating Activities     
Income from continuing operations (including noncontrolling interests)$2,272
 $4,288
 $1,308
Non-cash charges (credits):     
    Add: Cost reduction programs and other charges, net of payments (a)(236) 40
 26
 Add: Amortization of merger-related inventory step-up12
 368
 
    Less: Net gain on sale of businesses, net of tax (b)(108) (2,923) 
    Add: Tax Act income tax charge, net
 (61) 394
    Add: Depreciation and amortization4,675
 1,830
 1,184
    Add (Less): Deferred income taxes, excluding Tax Act(303) (187) 136
    Add (Less): non-cash charges and other(32) 237
 102
        Income from continuing operations adjusted for non-cash charges and other6,280
 3,592
 3,150
Less: Pension contributions(94) (87) (19)
Add (Less): Working capital(160) 202
 (158)
Add (Less): Other93
 (53) 68
Net cash provided by operating activities$6,119
 $3,654
 $3,041
Investing Activities     
Capital expenditures$(3,682) $(1,883) $(1,311)
Acquisitions, net of cash acquired(225) (25) (33)
Divestitures and asset sales, net of cash divested5,096
 5,908
 30
Cash acquired in merger transaction
 1,363
 
Net cash provided by (used for) investing activities$1,189
 $5,363
 $(1,314)
Financing Activities     
Debt increases (decreases) – net$(1,260) $(2,908) $(771)
Issuances (purchases) of ordinary shares – net(2,586) (522) 108
Cash dividends – Linde plc shareholders(1,891) (1,166) (901)
Noncontrolling interest transactions and other(3,260) (402) (92)
Net cash (used) for financing activities$(8,997) $(4,998) $(1,656)
      
Effect of exchange rate changes on cash$(77) $(60) $22
Cash and cash equivalents, end-of-period$2,700
 $4,466
 $617
      
____________________
____________________(a)See Note 3 to the consolidated financial statements.
(a)See Note 5 to the consolidated financial statements.
(b)See Note 4 to the consolidated financial statements.
Cash decreased $1,766$931 million in 20192021 versus 2018.2020. The primary sources of cash in 20192021 were cash flows from operations of $6,119 million and proceeds from divestitures and asset sales of $5,096$9,725 million. The primary uses of cash included capital expenditures of $3,682 million, transactions with noncontrolling interests of $3,260$3,086 million, net purchases of ordinary shares of $2,586$4,562 million, and cash dividends to shareholders of $1,891 million and net debt repayments of $1,260$2,189 million. Noncontrolling interest transactions and other of $3,260 million included a payment of approximately $3.2 billion related to the cash-merger squeeze-out of the 8% of Linde AG shares completed on April 8, 2019 (see Note 16 to the consolidated financial statements).


Cash Flows From Operations 
chart-cc97655231e5562188c.jpg

20192021 compared with 20182020
Cash flows from operations was $6,119$9,725 million, or 22% of sales, an increase of $2,465 million from $3,654$2,296 million, or 25% of sales in 2018.31% from 2020. The increase was primarily attributable to the merger which drove higher net income adjusted for non-cash charges, partially offsetdriven by higher working capital requirements and higher merger and synergy related cash outflows. 2019 included merger and synergy related cash outflows of $803 million, of which $567 million is included within "Net income (including noncontrolling interests)" and $236 million is included within "Cost reduction programs and other charges, net of payments".

2018 compared with 2017
Cash flows from operations was $3,654 million, or 25% of sales, an increase of $613 million from $3,041 million, or 27% of sales in 2017. The increase was primarily attributable to the merger, higher net income adjusted for non-cash charges and favorablelower working capital requirements, partiallyincluding an increase in contract liabilities due to engineering customer advanced payments, which more than offset by unfavorable changeshigher cash taxes. Cost reduction programs and other charges, net of payments was $98 million and $258 million for the years ended December 31, 2021 and 2020, respectively, representing charges of $273 million and $506 million net of related cash outflows of $175 million and $248 million, respectively, in other long–term assets and liabilities and higher pension contributions.each period.



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Investing
chart-de03b4821d045233bb5.jpg

20192021 compared with 20182020
Net cash provided byused for investing activities of $1,189was $3,007 million decreased $4,174in 2021 compared to $2,986 million from 2018in 2020. The increase was primarily driven by lower proceeds from merger-related divestitures cash acquired in the merger and higher2021, largely offset by lower capital expenditures.
Capital expenditures in 20192021 were $3,682$3,086 million, an increasea decrease of $1,799$314 million from 2018, driven primarily by the merger.2020. Capital expenditures during 20192021 related primarily to investments in new plant and production equipment for growth. Approximately 44%42% of the capital expenditures were in the Americas segment with 33%32% in the APAC segment and the rest primarily in the EMEA segment.
At December 31, 2021 , Linde's sale of gas backlog of large projects under construction was approximately $3.5 billion. This represents the total estimated capital cost of large plants under construction.
Acquisition expenditures in 20192021 were $225$88 million, an increase of $200$20 million from 20182020 and related primarily to acquisitions in the Americas.Americas and EMEA. Acquisitions for the year ended December 31, 2020 were $68 million and related to acquisitions in the Americas and APAC.
Divestitures and asset sales in 20192021 totaled $5,096$167 million primarily driven byas compared to $482 million in 2020. The 2020 period includes net proceeds from merger-related divestitures including $3.4 billionof $98 million from the sale of Linde AG's Americas business, $1.2 billion from the saleselected assets of Linde Korea,China and proceeds of approximately $200 million each from the sale of the legacy Praxair and legacy Linde India selected assets (see Note 4 to the consolidated financial statements). 2018 divestiture and asset sale cash flows included $5.6 billion from the sale of Praxair's European business and $214$130 million related to the sale of Praxair's Italian joint venture (see Note 4 to the consolidated financial statements).
2018 compared with 2017
Net cash provided by investing activities of $5,363 million increased $6,677 million from 2017 primarily driven by proceeds from the divestiture of Praxair's Europeana non-core business and cash acquired in the merger, partially offset by higher capital expenditures.
Capital expenditures in 2018 were $1,883 million, an increase of $572 million from 2017, driven primarily by the merger with Linde AG. Capital expenditures during 2019 related primarily to investments in new plant and production equipment for growth and density.
Acquisition expenditures in 2018 were $25 million, a decrease of $8 million from 2017. Additionally, $1,363 million of cash was acquired in the merger (see Note 3 to the consolidated financial statements).
Divestitures and asset sales in 2018 totaled $5,908 million primarily driven by proceeds from merger-related divestitures including $5.6 billion from the sale of Praxair's European business and $214 million related to the sale of Praxair's Italian joint venture (see Note 4 to the consolidated financial statements).


Scandinavia.
Financing
Linde’s financing strategy is to secure long-term committed funding by issuing public notes and debentures and commercial paper backed by a long-term bank credit agreement. Linde’s international operations are funded through a combination of local borrowing and intercompany funding to minimize the total cost of funds and to manage and centralize currency exchange exposures. As deemed necessary, Linde manages its exposure to interest-rate changes through the use of financial derivatives (see Note 1412 to the consolidated financial statements and Item 7A. Quantitative and Qualitative Disclosures About Market Risk).
Cash used for financing activities was $8,997$7,588 million in 20192021 compared to $4,998$3,345 million in 2018. The primary financing uses2020. Cash used for debt was $514 million in 2021 versus cash provided by debt of cash were for transactions with noncontrolling interests, net$1,313 million in 2020 primarily due to lower proceeds from debt repayments, cash dividendsissuances and netdecreased commercial paper borrowings, partially offset by lower debt repayments. Net purchases of Linde ordinary shares. Noncontrolling interest transactions and other payments of $3,260 million increased $2,858 million from 2018 driven by a payment of approximately $3.2 billion for the cash-merger squeeze-out of the 8% of Linde AG shares completed on April 8, 2019 (see Note 16 to the consolidated financial statements). Amounts paid in 2018 include $315 million for the purchase of the noncontrolling interest in Praxair's Italian joint venture in a merger-related transaction (see Note 4 to the consolidated financial statements) and $25were $4,562 million in interest related to the early redemption of bonds.2021 versus $2,410 million in 2020. Cash dividends of $1,891increased to $2,189 million increased $725in 2021 versus $2,028 million from 2018in 2020 driven primarily by higher shares outstanding after the merger and a 6%10% increase in dividends per share from $3.30$3.852 per share to $3.50. Net purchases of ordinary shares were $2,586$4.24 per share. Cash used for Noncontrolling interest transactions and other was $323 million in 2019for the year ended December 31, 2021 versus $522 million in 2018 driven by increased share repurchases. The cash used of $220 million for debt repayments-net of $1,260 million decreased $1,648 million from $2,908 million during 2018 while cash decreased $1,766 million. Net debt (calculated as total debt less cash and cash equivalents) increased $426 millionthe respective 2020 period primarily due to lower cash balances partially offset by debt repayments.the settlement of the buyout of minority interests in the Republic of South Africa in January of 2021.
The company believes that it has sufficient operating flexibility, cash reserves, and funding sources to maintain adequate amounts of liquidity to meet its business needs around the world. At December 31, 2019,2021, Linde's credit ratings as reported by Standard & Poor’s and Moody’s were A-1 and P-1 for short-term debt, respectively, and A and A2 for long-term debt, respectively.
Note 1311 to the consolidated financial statements includes information with respect to the company’s debt repaymentsactivity in 2019,2021, current debt position, debt covenants and the available credit facilities; and Note 1412 includes information relating to derivative financial instruments. Linde's credit facilities are with major financial institutions and are non-cancelable until maturity. Therefore, the company believes the risk of the financial institutions being unable to make required loans under the credit facilities, if requested, to be low. Linde’s major bank credit and long-term debt agreements contain standard covenants. The company was in compliance with these covenants at December 31, 20192021 and expects to remain in compliance for the foreseeable future.
The company maintains a $5 billion unsecured and undrawn revolving credit agreement with no associated financial covenants. No borrowings were outstanding under the credit agreement as of December 31, 2021. The company does not anticipate any limitations on its ability to access the debt capital markets and/or other external funding sources and remains committed to its strong ratings from Moody’s and Standard & Poor’s.
Linde’s total net debt outstanding at December 31, 20192021 was $11,256$11,384 million, $426$1,016 million higherlower than $10,830$12,400 million at December 31, 2018.2020. The December 31, 20192021 net debt balance includes $12,752$13,069 million in public securities, $1,204$1,138 million representing primarily worldwide bank borrowings, net of $2,700$2,823 million of cash. Linde’s global effective borrowing rate was approximately 2%1.4% for 2019.2021.
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In February 2019,June 2021, Linde repaid $500€600 million of 1.90% rate3.875% notes that became due; in May 2019due. In September 2021, Linde issued €700 million of 0.000% notes due 2026, €500 million of 0.375% notes due 2033, and €700 million of 1.000% notes due 2051. In November 2021, Linde repaid $150$600 million of variable rate2.45% notes that were due in 2022. There was no impact to interest within the consolidated statements of income (see Note 11 to the consolidated financial statements).
In January 2022, Linde repaid €1.0 billion of 0.250% notes that became due;due in June 2019 Linde repaid €500 million of 1.75% notes that due and AUD100 million of variable rate notes that became due; in August 2019 Linde repaid $200 million of variable rate notes that became due.2022.
On March 26, 2019 the company and certain of its subsidiaries entered into an unsecured revolving credit agreement ("the Credit Agreement") with a syndicate of banking institutions, which became effective on March 29, 2019. The Credit Agreement provides for total commitments of $5.0 billion, which may be increased up to $6.5 billion, subject to receipt of additional commitments and satisfaction of customary conditions. There are no financial maintenance covenants contained within the Credit Agreement. The revolving credit facility expires on March 26, 2024 with the option to request two one-year extensions of the expiration date. In connection with the effectiveness of the Credit Agreement, Praxair and Linde AG terminated their respective existing revolving credit facilities. No borrowings were outstanding under the Credit Agreement as of December 31, 2019.
On September 3, 2019, Linde andFebruary 28, 2022, the company’s subsidiaries Praxair and Linde AG entered into a seriesBoard of parent and subsidiary guarantees related to currently outstanding notes issued by Praxair and Linde AG as well as the $5 billion Credit Agreement.
On December 10, 2018, the company announced a $1.0 billion share repurchase program, which was completed in February of 2019. On January 22, 2019, the company’s board of directorsDirectors approved the additional repurchase of $6.0$10.0 billion of its ordinary shares, of which $2.3 billion had been repurchased through December 31, 2019.shares. For additional information

related to the share repurchase programs, see Part II Item 5. Market for Registrant's Common Equity, Related Stockholder Matters and Issuer Purchases of Equity Securities.

CONTRACTUAL OBLIGATIONS
The following table sets forth Linde’s material contract obligations and other commercial commitments as of December 31, 2019:
(Millions of dollars)Due or expiring by December 31,
  
2020 2021 2022 2023 2024 Thereafter Total
Long-term debt obligations:             
Debt and capitalized lease maturities (Note 13)$1,531
 $1,855
 $2,330
 $1,798
 $983
 $3,727
 $12,224
Contractual interest297
 237
 175
 146
 98
 585
 1,538
Operating leases (Note 6)275
 208
 163
 110
 75
 251
 1,082
Retirement obligations101
 36
 37
 37
 36
 183
 430
Unconditional purchase obligations833
 769
 718
 660
 650
 2,877
 6,507
Construction commitments2,234
 871
 291
 25
 
 
 3,421
Total Contractual Obligations$5,271
 $3,976
 $3,714
 $2,776
 $1,842
 $7,623
 $25,202
Contractual interest on long-term debt of $1,538 million represents interest the company is contracted to pay on outstanding long-term debt, current portion of long-term debt and capital lease obligations, calculated on a basis consistent with planned debt maturities, excluding the interest impact of interest rate swaps. At December 31, 2019, Linde had fixed-rate debt of $10,799 million and floating-rate debt of $3,157 million. The rate assumed for floating-rate debt was the rate in effect at December 31, 2019.
Retirement obligations of $430 million include estimates of pension plan contributions and expected future benefit payments for unfunded pension and OPEB plans. Pension plan contributions are forecasted for 2020 only. For purposes of the table, $60 million of estimated contributions have been included for 2020. Expected future unfunded pension and OPEB benefit payments are forecasted only through 2029. Contribution and unfunded benefit payment estimates are based upon current valuation assumptions. Estimates of pension contributions after 2020 and unfunded benefit payments after 2029 are not included in the table because the timing of their resolution cannot be estimated. Retirement obligations are more fully described in Note 18 to the consolidated financial statements.
Unconditional purchase obligations of $6,507 million represent contractual commitments under various long and short-term take-or-pay arrangements with suppliers and are not included on Linde's balance sheet. These obligations are primarily minimum-purchase commitments for helium, electricity, natural gas and feedstock used to produce atmospheric and process gases. A significant portion of these obligations is passed on to customers through similar take-or-pay or other contractual arrangements. Purchase obligations that are not passed along to customers through such contractual arrangements are subject to market conditions, but do not represent a material risk to Linde. Approximately $2,983 million of the purchase obligations relates to power and is intended to secure the uninterrupted supply of electricity and feedstock to Linde's plants to reliably satisfy customer product supply obligations, and extend through 2030. Certain of the power contracts contain various cancellation provisions requiring supplier agreement, and many are subject to annual escalations based on local inflation factors.

Construction commitments of $3,421 million represent outstanding commitments to complete authorized construction projects as of December 31, 2019. A significant portion of Linde’s capital spending is related to the construction of new production facilities to satisfy customer commitments which may take a year or more to complete.

Liabilities for uncertain tax positions totaling $415 million, including interest and penalties, are not included in the table because the timing of their resolution cannot be estimated. Tax liabilities for deemed repatriation of earnings of $261 million are payable over the next six years. See Note 7 to the consolidated financial statements for disclosures surrounding the "Tax Act" and uncertain income tax positions.



OFF-BALANCE SHEET ARRANGEMENTS
As discussed in Note 1917 to the consolidated financial statements, at December 31, 2019,2021, Linde had undrawn outstanding letters of credit, bank guarantees and surety bonds entered into in connection with normal business operations and they are not reasonably likely to have a material impact on Linde’s consolidated financial condition, results of operations, or liquidity.

CRITICAL ACCOUNTING POLICIESESTIMATES
The policies discussed below are considered by management to be critical to understanding Linde’s financial statements and accompanying notes prepared in accordance with accounting principles generally accepted in the United States ("U.S. GAAP"). Their application places significant importance on management’s judgment as a result of the need to make estimates of matters that are inherently uncertain. Linde’s financial position, results of operations and cash flows could be materially affected if actual results differ from estimates made. These policies are determined by management and have been reviewed by Linde’s Audit Committee.
Purchase Accounting

Linde AG’s assets and liabilities were measured at fair value as of the date of the merger. Estimates of fair value represent management's best estimate of assumptions about future events and uncertainties. In determining the fair value, Linde utilized various forms of the income, cost and market approaches depending on the asset or liability being fair valued. The estimation of fair value includes significant judgments related to future cash flows (sales, costs, customer attrition rates, and contributory asset charges), discount rates, competitive trends, market comparables and others. Inputs were generally obtained from historical data supplemented by current and anticipated market conditions and growth rates. The estimates and assumptions used to determine the estimated fair value assigned to each class of assets and liabilities, as well as asset lives, have a material impact to the company's consolidated financial statements, and are based upon assumptions believed to be reasonable but that are inherently uncertain. As of the end of 2019, the valuation process to determine the fair value of the acquired assets and liabilities is complete.

See Note 3 to the consolidated financial statements for additional information.

Depreciation and Amortization
Depreciable Lives of Property, Plant and Equipment
Linde’s net property, plant and equipment at December 31, 2019 was $29,064 million, representing 34% of the company’s consolidated total assets. Depreciation expense for the year ended December 31, 2019 was $3,940 million, or 16% of total operating costs. Management judgment is required in the determination of the estimated depreciable lives that are used to calculate the annual depreciation expense and accumulated depreciation.
Property, plant and equipment are recorded at cost and depreciated over the assets’ estimated useful lives on a straight-line basis for financial reporting purposes. The estimated useful life represents the projected period of time that the asset will be productively employed by the company and is determined by management based on many factors, including historical experience with similar assets, technological life cycles, geographic locations and contractual supply relationships with on-site customers. Circumstances and events relating to these assets, such as on-site contract modifications, are monitored to ensure that changes in asset lives or impairments (see “Asset Impairments”) are identified and prospective depreciation expense or impairment expense is adjusted accordingly. Linde’s largest asset values relate to cryogenic air-separation production plants with depreciable lives of principally 15 years.
Based upon the assets as of December 31, 2019, if depreciable lives of machinery and equipment, on average, were increased or decreased by one year, annual depreciation expense would be decreased by approximately $471 million or increased by approximately $618 million, respectively.
See Notes 3, 9 and 10 to the consolidated financial statements for additional information.
Amortization of Other Intangible Assets
Linde’s net other intangible assets at December 31, 2019 was $16,137 million, representing 19% of the company’s consolidated total assets, including $1,870 million of indefinite-lived intangibles. Amortization expense related to finite-lived intangible assets for the year ended December 31, 2019 was $735 million, or 3% of total operating costs. Management judgment is required in the determination of the estimated amortizable lives that are used to calculate the annual amortization expense and accumulated amortization. See Note 12 to the consolidated financial statements.

Based upon the assets as of December 31, 2019, if amortization lives of other intangible assets, on average, were increased or decreased by one year, annual amortization expense would be decreased by approximately $33 million or increased by approximately $36 million, respectively.
See Notes 3, 9, and 12 to the consolidated financial statements for additional information.
Revenue Recognition
Long-Term Construction Contracts    
The company designs and manufactures equipment for air separation and other varied gas production and processing plants manufactured specifically for end customers. Revenue fromRevenues for sale of equipment iscontracts are generally recognized over time as Linde has an enforceable right to payment for performance completed to date and performance does not create an asset with alternative use. For contracts recognized over time, revenue is recognized primarily using a cost incurred input method. Costs incurred to date relative to total estimated costs at completion are used to measure progress toward satisfying performance obligations. CostsThe result is applied to total expected revenue and results in financial statement recognition of revenue in addition to costs incurred include material, labor, and overhead costs and represent work contributing and proportionate to the transfer of control to the customer.date. Any expected loss on a contract is recognized as an expense immediately. Contract modifications are typically accounted for as part of the existing contract and are recognized as a cumulative adjustment for the inception-to-date effect of such change. We assess performance as progress towards completion is achieved on specific projects, earnings will be impacted by changes to our forecast of revenues and costs on these projects.
The cost incurred input method places considerable importance on accurate estimates of the extent of progress towards completion and may involve estimates on the scope of deliveries and services required to fulfill the contractually defined obligations. The key source of estimation uncertainty is the total estimated costs at completion including material, labor and overhead costs and the resultant state of completion of the contracts. There are inherent uncertainties associated with the estimation process, including technical complexity, duration of construction cycle, potential cost inflation (whether equipment or manpower), and scope considerations all of which may affect the total estimation process. Changes in these estimates may lead to a significant impact on future financial statements.
Pension Benefits
Pension benefits represent financial obligations that will be ultimately settled in the future with employees who meet eligibility requirements. Because of the uncertainties involved in estimating the timing and amount of future payments, significant estimates are required to calculate pension expense and liabilities related to the company’s plans. The company utilizes the services of independent actuaries, whose models are used to facilitate these calculations.
Several key assumptions are used in actuarial models to calculate pension expense and liability amounts recorded in the financial statements. Management believes the three most significant variables in the models are the expected long-term rate of return on plan assets, the discount rate, and the expected rate of compensation increase. The actuarial models also use assumptions for various other factors, including long-term inflation rates, employee turnover, retirement age, and
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mortality. Linde management believes the assumptions used in the actuarial calculations are reasonable, reflect the company’s experience and expectations for the future and are within accepted practices in each of the respective geographic locations in which it operates. Actual results in any given year will often differ from actuarial assumptions because of economic and other factors. The sensitivities to each of the key assumptions presented below exclude the impact of special items that occurred during the year (e.g., divestiture-related settlement charges, settlement charges resulting from change in control provisions, etc.).year.
The weighted-average expected long-term rates of return on pension plan assets were 7.27%7.00% for U.S. plans and 5.15%5.28% for internationalnon-U.S. plans for the year ended December 31, 2019 (7.62%2021 (7.00% and 5.13%5.31%, respectively at December 31, 2018)2020). The expected long-term rate of return on the U.S. and internationalNon-U.S. plan assets is estimated based on the plans' investment strategy and asset allocation, historical capitalcapital market performance and, to a lesser extent, historical plan performance. A 0.50% change in these expected long-term rates of return, with all other variables held constant, would change Linde’s pension expense by approximately $44$46 million.
The company has consistently used a market-related value of assets rather than the fair value at the measurement date to determine annual pension expense. The market-related value recognizes investment gains or losses over a five-year period. As a result, changes in the fair value of assets from year to year are not immediately reflected in the company’s annual pension expense. Instead, annual pension expense in future periods will be impacted as deferred investment gains or losses are recognizedrecognized in the market-related value of assets over the five-year period. The consolidated market-related value of assets was $8,778$9,612 million, or $158$804 million lower than the fair value of assets of $8,936$10,416 million at December 31, 2019.2021. These net deferred investment losses of $158$804 million willwill be recognized in the calculation of the market-related value of assets ratably over the next four years and will impact future pension expense. Future actual investment gains or losses will impact the market-related value of assets and, therefore, will impact future annual pension expense in a similar manner.
Discount rates are used to calculate the present value of plan liabilities and pension costs and are determined annually by management. The company measures the service and interest cost components of pension and OPEB expense for significant U.S. and internationalnon-U.S. plans using the spot rate approach. U.S. plans that do not use the spot rate approach continue to determine discount rates by using a cash flow matching model provided by the company's independent actuaries. The model includes a portfolio of corporate bonds graded Aa or better by at least half of the ratings agencies and matches the U.S. plans' projected cash flows to the calculated spot rates. Discount rates for the remaining internationalNon-U.S. plans are based on market yields for high-quality fixed income investments representing the approximate duration of the pension liabilities on the measurement

date. Refer to Note 1816 to the consolidated financial statementsstatements for a summary of the discount rates used to calculate plan liabilities and benefit costs, and to the Retirement Benefits section of the Consolidated Results and Other Information section of this MD&A for a further discussion of 20192021 benefit costs. A 0.50% reduction in discount rates, with all other variables held constant, would increase Linde’s pension expense by approximately $29$52 million whereas a 0.50% increase in discount rates would result in a decrease of $25$47 million. A 0.50% reduction in discount rates would increase the PBO by approximately $976$951 million whereas a 0.50% increase in discount rates would have a favorable impact to the PBO of approximately $855$841 million.
The weighted-average expected rate of compensation increase was 3.25% for U.S. plans and 2.46%2.55% for internationalnon-U.S. plans at December 31, 20192021 (3.25% and 2.38%2.55%, respectively, at December 31, 2018)2020). The estimated annual compensation increase is determined by management every year and is based on historical trends and market indices. A 0.50% change in the expected rate of compensation increase, with all other variables held constant, would change Linde’s pension expense by approximately $8 million and would impact the PBO by approximately $65$54 million.
Asset Impairments
Goodwill and Other Indefinite-Lived Intangibles Assets
At December 31, 2019,2021, the company had goodwill of $27,019$27,038 million and $1,870$1,813 million of other indefinite-lived intangible assets. Goodwill represents the aggregate of the excess consideration paid for acquired businesses over the fair value of the net assets acquired. Indefinite-lived other intangibles relate to the Linde name.
The company performs a goodwill impairment test annually or more frequently if events or circumstances indicate that an impairment loss may have been incurred. During the fourth quarter of fiscal year 2019, the company changed the date of its annual goodwill impairment test from April 30 to October 1. The change was made to more closely align the impairment testing date with the company’s planning process. The change in annual impairment testing date did not delay, accelerate or avoid an impairment charge. The company has determined this change in the method of applying an accounting principle is preferable.
The impairment tests performed during the second and fourth quartersquarter of 20192021 indicated no impairment. At December 31, 2019,2021, Linde’s enterprise value was approximately $125$188 billion (outstanding shares multiplied by the year-end stock price plus net debt, and without any control premium) while its total capital was approximately $63$57 billion.
The impairment test allows an entity to first assess qualitative factors to determine if it is more likely than not that the fair value of a reporting unit is less than carrying value. If it is determined that it is more likely than not that the fair value of a reporting unit is less than carrying value then the company will estimate and compare the fair value of its reporting units to
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their carrying value, including goodwill. Reporting units are determined based on one level below the operating segment level. In estimating the fair value of each reporting unit, management applied a multiple of earnings from a peer group to the company’s forecasted earnings for the year ending December 31, 2019.  The peer group is comprised of comparable entities with similar operations and economic characteristics.
Such analysis requires the use of certain market assumptions and discount factors, which are subjective in nature. As applicable, estimated values can be affected by many factors beyond the company's control such as business and economic trends, government regulation, and technological changes. Management believes that the quantitative and qualitative factors used to perform its annual goodwill impairment assessment are appropriate and reasonable. Although the 20192021 assessment indicated that it is more likely than not that the fair value of each reporting unit exceeded its carrying value, changes in circumstances or conditions affecting this analysis could have a significant impact on the fair value determination, which could then result in a material impairment charge to the company's results of operations. Reporting units with greater concentration of Linde AG assets fair valued during the recent2018 Praxair, Inc. and Linde AG merger are at greater risk of impairment in future periods.
Other indefinite-lived intangible assets from Linde AG recently fair valued are evaluated for impairment on an annual basis or more frequently if events and circumstances indicate that an impairment loss may have been incurred, and no impairments were indicated.

See Notes 3, 119 and 1210 to the consolidated financial statements.

Long-Lived Assets
Long-lived assets, including property, plant and equipment and finite-lived other intangible assets, are tested for impairment whenever events or changes in circumstances indicate that the carrying amount of an individual asset or asset group may not be recoverable. For purposes of this test, asset groups are determined based upon the lowest level for which

there are independent and identifiable cash flows. Based upon Linde's business model for property, plant and equipment an asset group may be a single plant and related assets used to support on-site, merchant and packaged gas customers. Alternatively, the asset group may be a collection of distribution related assets (cylinders, distribution centers, and stores) or be a pipeline complex which includes multiple interdependent plants and related assets connected by pipelines within a geographic area used to support the same distribution methods.

Income Taxes
At December 31, 2019,2021, Linde had deferred tax assets of $2,179$1,829 million (net of valuation allowances of $222$235 million), and deferred tax liabilities of $8,825$7,826 million. At December 31, 2019,2021, uncertain tax positions totaled $472$387 million (see Notes 2Note 1 and 7Note 5 to the consolidated financial statements). Income tax expense was $769$1,262 million for the year ended December 31, 2019,2021, or about 26.3%24.7% of pre-tax income (see Note 75 to the consolidated financial statements for additional information related to taxes).
In the preparation of consolidated financial statements, Linde estimates income taxes based on diverse legislative and regulatory structures that exist in various jurisdictions where the company conducts business. Deferred income tax assets and liabilities represent tax benefits or obligations that arise from temporary differences due to differing treatment of certain items for accounting and income tax purposes. Linde evaluates deferred tax assets each period to ensure that estimated future taxable income will be sufficient in character (e.g. capital gain versus ordinary income treatment), amount and timing to result in their recovery. A valuation allowance is established when management determines that it is more likely than not that a deferred tax asset will not be realized to reduce the assets to their realizable value. Considerable judgments are required in establishing deferred tax valuation allowances and in assessing exposures related to tax matters. As events and circumstances change, related reserves and valuation allowances are adjusted to income at that time. Linde’s tax returns are subject to audit and local taxing authorities could challenge the company’s tax positions. The company’s practice is to review tax filing positions by jurisdiction and to record provisions for uncertain income tax positions, including interest and penalties when applicable. Linde believes it records and/or discloses such potential tax liabilities as appropriate and has reasonably estimated its income tax liabilities and recoverable tax assets. If new information becomes available, adjustments are charged or credited against income at that time. Management does not anticipate that such adjustments would have a material adverse effect on the company’s consolidated financial position or liquidity; however, it is possible that the final outcomes could have a material impact on the company’s reported results of operations.

Contingencies
The company accrues liabilities for non-income tax contingencies when management believes that a loss is probable and the amounts can be reasonably estimated, while contingent gains are recognized only when realized or realizable. If new information becomes available or losses are sustained in excess of recorded amounts, adjustments are charged against income at that time. Management does not anticipate that in the aggregate such losses would have a material adverse effect on the company’s consolidated financial position or liquidity; however, it is possible that the final outcomes could have a material impact on the company’s reported results of operations.
36

Linde is subject to various claims, legal proceedings and government investigations that arise from time to time in the ordinary course of business. These actions are based upon alleged environmental, tax, antitrust and personal injury claims, among others (see Note 1917 to the consolidated financial statements). Such contingencies are significant and the accounting requires considerable management judgments in analyzing each matter to assess the likely outcome and the need for establishing appropriate liabilities and providing adequate disclosures. Linde believes it records and/or discloses such contingencies as appropriate and has reasonably estimated its liabilities.

NEW ACCOUNTING STANDARDS
See Note 21 to the consolidated financial statements for information concerning new accounting standards and the impact of the implementation of these standards on the company’s financial statements.

FAIR VALUE MEASUREMENTS
Linde does not expect changes in the aggregate fair value of its financial assets and liabilities to have a material impact on the consolidated financial statements. See Note 1513 to the consolidated financial statements.

SUPPLEMENTAL PRO FORMA INCOME STATEMENT INFORMATION
To assist with a discussion of the 2019 and 2018 results on a comparable basis, certain supplemental unaudited pro forma income statement information is provided on both a consolidated and segment basis (referred to as "pro forma Income Statement Information" or "pro forma information").
The pro forma information has been prepared on a basis consistent with Article 11 of Regulation S-X, assuming the merger and the merger-related divestitures had been consummated on January 1, 2018 and includes adjustments for (1) the preliminary purchase accounting impacts of the merger, including increased amortization expense on acquired intangible assets, increased depreciation on property, plant and equipment and lower interest expense due to revaluing existing debt to fair value, (2) conversion to US GAAP from IFRS for Linde AG, (3) accounting policy alignment, (4) the elimination of the impact of transactions between Praxair and Linde AG, (5) the elimination of the effect of events that are directly attributable to the Merger Agreement and (6) the elimination of the effect of consummated and probable divestitures required as a condition of the approval for the merger. In preparing this pro forma information, the historical financial information has been adjusted to give effect to pro forma Adjustments that are (i) directly attributable to the business combination and other transactions presented herein, such as the merger-related divestitures, (ii) factually supportable, and (iii) expected to have a continuing impact on the combined entity’s consolidated results.
The pro forma information is based on management's assumptions and is presented for illustrative purposes and does not purport to represent what the results of operations would actually have been if the merger and merger-related divestitures had occurred as of the dates indicated or what the results would be for any future periods. Also, the pro forma information does not include the impact of any revenue, cost or other operating synergies that may result from the merger or any related restructuring costs. Events that are not expected to have a continuing impact on the combined results (e.g. inventory step-up costs, non-recurring income/charges) are excluded from the unaudited pro forma information.
The unaudited pro forma income statement has been presented for informational purposes only and is not necessarily indicative of what Linde's results of operation actually would have been had the merger been completed on January 1, 2018. In addition, the unaudited pro forma income statement does not purport to project the future operating results of the company.
The pro forma Income Statement Information are included in the following schedules:
- Year ended December 31, 2019 pro forma Income Statement Information
- Year ended December 31, 2018 pro forma Income Statement Information

Refer to an earlier section in this MD&A titled "Merger of Praxair, Inc. and Linde AG".






















YEAR TO DATE DECEMBER 31, 2019 PRO FORMA INCOME STATEMENT INFORMATION
(Millions of dollars, except per share data)
(UNAUDITED)
37
  Pro forma Adjustments 
 Linde plc ReportedDivestitures (a)Other TotalPro Forma
Sales$28,228
$(65)$
 $(65)$28,163
Cost of sales, exclusive of depreciation16,644
(48)(12)(b)(60)16,584
Selling, general and administrative3,457
(1)

 (1)3,456
   As a % of Sales12.2%



 

12.3%
Depreciation and amortization4,675




 
4,675
Research and development184




 
184
Cost reduction programs and other charges567


(190)(c)(190)377
Net gain on sale of businesses164


(164)(d)(164)
Other income (expense) - net68




 
68
Operating profit2,933
(16)38
 22
2,955
   Operating margin10.4%    10.5%
Net pension and OPEB cost (benefit), excluding service costs(32)

(97)(e)(97)(129)
Interest expense - net38




 
38
Income taxes769
(5)(15)(f)(20)749
   Effective Tax Rate26.3%



 

24.6%
Income from equity investments114




 
114
Noncontrolling interests from continuing operations(89)



 
(89)
Income from continuing operations$2,183
$(11)$150
 $139
$2,322
Diluted shares outstanding545,170




 545,170
545,170
Diluted EPS from continuing operations$4.00




 $0.25
$4.25
SEGMENT SALES      
Americas$10,993
$(4)$
 $(4)$10,989
EMEA6,643




 
6,643
APAC5,839
(60)

 (60)5,779
Engineering2,799




 
2,799
Other1,954
(1)

 (1)1,953
Segment sales$28,228
$(65)$
 $(65)$28,163
SEGMENT OPERATING PROFIT      
Americas$2,578
$(1)$
 $(1)$2,577
EMEA1,367




 

1,367
APAC1,198
(14)

 (14)1,184
Engineering390




 

390
Other(245)(1)

 (1)(246)
Segment operating profit5,288
(16)
 (16)5,272
Cost reduction programs and other charges(567)



 
(567)
Net gain on sale of businesses164




 
164
Purchase accounting impacts - Linde AG(1,952)



 
(1,952)
Total operating profit$2,933
$(16)$
 $(16)$2,917


2019 Pro forma adjustments
(a)To eliminate the results of Praxair's merger-related divestitures.
(b)To eliminate the impact of the inventory step-up recorded in purchase accounting for the merger. This item is nonrecurring in nature, directly attributable to the merger and occurred within one year of the transaction.
(c)To eliminate the transaction costs and other charges related to the merger. These transaction costs are nonrecurring, directly attributable to the merger, and incremental. See Note 5 to the consolidated financial statements.
(d)To eliminate the gain on merger related divestitures.
(e)To eliminate pension settlement charges related to the merger.
(f)To eliminate the income tax impacts of Other adjustments.


YEAR TO DATE DECEMBER 31, 2018 PRO FORMA INCOME STATEMENT INFORMATION
  Pro forma Adjustments  
 Linde plc (a)Linde AG (b)Divestitures (c)Purchase Accounting (d)Other Total Pro Forma Linde plc
Sales$14,836
$16,929
$(3,598)$
$(83)(e)$13,248
 $28,084
Cost of sales, exclusive of depreciation9,020
10,515
(2,155)
(451)(e)7,909
 16,929
Selling, general and administrative1,629
2,370
(364)

 2,006
 3,635
   As a % of Sales11.0%       12.9%
Depreciation and amortization1,830
1,570
(337)1,861

 3,094
 4,924
Research and development113
88



 88
 201
Cost reduction programs and other charges309
323


(576)(f)(253) 56
Other income (expense) - net3,312
204


(3,294)(j)(3,090) 222
Operating profit5,247
2,267
(742)(1,861)(2,350) (2,686) 2,561
   Operating margin35.4%       9.1%
Net pension and OPEB cost (benefit), excluding service costs(4)(159)(2)

 (161) (165)
Interest expense - net202
332
(72)(83)
 177
 379
Income taxes817
634
(87)(430)(264)(g)(147) 670
   Effective Tax Rate16.2%       28.5%
Income from equity investments56
80
(31)(53)
 (4) 52
Noncontrolling interests from continuing operations(15)(144)19
140

 15
 
Income from continuing operations$4,273
$1,396
$(593)$(1,261)$(2,086) $(2,544) $1,729
Diluted shares outstanding334,127
     221,024
(h)555,151
Diluted EPS from continuing operations$12.79
     $(9.68)(h)$3.11
SEGMENT SALES         
Americas$8,017
$4,352
$(1,768)

$(62)(e)$2,522
 $10,539
EMEA2,644
5,809
(1,463)

1
(e)4,347
 6,991
APAC2,446
3,851
(329)

(18)(e)3,504
 5,950
Engineering459
2,333




(e)2,333
 2,792
Other1,270
584
(38)

(4)(e)542
 1,812
Segment sales$14,836
$16,929
$(3,598)$
$(83) $13,248
 $28,084
SEGMENT OPERATING PROFIT         
Americas$2,053
$714
$(327)

$(7)(i)$380
 $2,433
EMEA481
1,230
(324)

(43)(i)863
 1,344
APAC465
686
(82)

(40)(i)564
 1,029
Engineering14
276



(5)(i)271
 285
Other(37)(316)(9)

67
(i)(258) (295)
Segment operating profit2,976
2,590
(742)

(28) 1,820
 4,796
Cost reduction programs and other charges(309)(323)



632
 309
 
Gain on sale of businesses3,294






(3,294) (3,294) 
Purchase accounting impacts - Linde AG(714)





714
 714
 
Total operating profit$5,247
$2,267
$(742)

$(1,976) $(451) $4,796


2018 Pro forma adjustments
(a) To include Linde plc consolidated results for the year ended December 31, 2018. Note that the results include the performance of Praxair's European industrial gases business through December 3, 2018 and the results of Linde AG from October 31, 2018 (merger date) through December 31, 2018. The adjustments reflect reclassifications to conform to Linde plc's reporting format.
(b) To include Linde AG consolidated results for the period prior to the merger date at October 31, 2018. The adjustments reflect reclassifications to conform to Linde plc's reporting format and adjustments from IFRS to U.S. GAAP.
(c) To eliminate the results of merger-related divestitures required by regulatory authorities to secure approval for the Merger. These divestitures include the majority of Praxair's European industrial gases business (completed December 3, 2018), a significant portion of Linde AG's America's industrial gases business (completed on March 1, 2019), select assets of Linde AG's South Korean industrial gases business (completed April 30, 2019), as well as certain divestitures of other Praxair and Linde AG businesses in Asia.
(d) To include purchase accounting adjustments for the period from January 1, 2018 to October 30, 2018 (prior to the Merger). This relates to (i) additional depreciation and amortization related to the increased value of of property, plant and equipment and increased basis of intangible assets, (ii) interest expense impacts related to the fair value of debt, (iii) the tax impacts related to the non-GAAP adjustments above, (iv) income from equity investments equity related to the fair value of equity investments, and (v) noncontrolling interests adjustments related to the fair value adjustments above. Purchase accounting impacts are not included in the definition of segment operating profit; therefore, no pro forma adjustment is required for segment reporting.
(e) To eliminate sales between Praxair and Linde AG for the period prior to the Merger date at October 31, 2018 (January 1, 2018 to October 30, 2018). (e) also includes a $368 million impact for the fair value step-up of inventories acquired in the merger. This charge is recorded in cost of sales and subsequently eliminated.
(f) To eliminate the transaction costs and other charges related to the Merger.
(g) To reflect the income tax impact of the above pro forma adjustments.
(h) To reflect the impact on diluted shares outstanding and diluted EPS related to ordinary shares issues to Linde AG shareholders in connection with the Merger.
(i) To eliminate other (income) charges not included in segment operating profit, primarily related to a gain on a sale of business in EMEA and a gain on a sale of asset in APAC.
(j) To eliminate the gain on merger related divestitures.


NON-GAAP FINANCIAL MEASURES
The following non-GAAP measures are intended to supplement investors’ understanding of the company’s financial information by providing measures which investors, financial analysts and management use to help evaluate the company’s financial leverage and operating performance. Special items which the company does not believe to be indicative of on-going business performance are excluded from these calculations so that investors can better evaluate and analyze historical and future business trends on a consistent basis. Definitions of these non-GAAP measures may not be comparable to similar definitions used by other companies and are not a substitute for similar GAAP measures.

The non-GAAP measures in the following reconciliations are presented in the Selected Financial Data (Item 6) or this MD&A.

Adjusted Amounts

Certain amounts for 2019, 2018, and 2017 have been included for reference purposes and to facilitate the calculations contained herein.
(Dollar amounts in millions, except per share data)
Year Ended December 31,20212020
Adjusted Operating Profit and Operating Margin
Reported operating profit$4,984 $3,322 
Add: Cost reduction programs and other charges273 506 
Add: Purchase accounting impacts - Linde AG (c)1,919 1,969 
Total adjustments2,192 2,475 
Adjusted operating profit$7,176 $5,797 
Reported percentage change50 %
Adjusted percentage change24 %
Reported sales$30,793 $27,243 
Reported operating margin16.2 %12.2 %
Adjusted operating margin23.3 %21.3 %
Adjusted Depreciation and amortization
Reported depreciation and amortization$4,635 $4,626 
Less: Purchase accounting impacts - Linde AG (c)(1,863)(1,920)
Adjusted depreciation and amortization$2,772 $2,706 
Adjusted Other Income (Expense) - net
Reported Other Income (Expense) - net$(26)$(61)
Add: Purchase accounting impacts - Linde AG (c)(56)(49)
Adjusted Other Income (Expense) - net$30 $(12)
Adjusted Net Pension and OPEB Cost (Benefit), Excluding Service Cost
Reported net pension and OPEB cost (benefit), excluding service cost$(192)$(177)
Add: Pension settlement charges(4)(6)
Adjusted Net Pension and OPEB cost (benefit), excluding service costs$(196)$(183)
Adjusted Interest Expense - Net
Reported interest expense - net$77 $115 
Add: Purchase accounting impacts - Linde AG (c)53 85 
Less: Bond Redemption— (16)
Adjusted interest expense - net$130 $184 
38

(Dollar amounts in millions, except per share data)2019 2018 2017 
Year Ended December 31,   
Adjusted Pro Forma Operating Profit and Margin      
Reported operating profit$2,933
 $5,247
 $2,444
 
Pro forma adjustments (a)22
 (2,686) N/A 
      Pro forma2,955
 2,561
 N/A 
Non-GAAP Adjustments:      
Add: Cost reduction programs and other charges377
 53
 52
 
Less: Net gain on sale of businesses
 (51) 
 
Add: Purchase accounting impacts - Linde AG (d)1,940
 2,233
 
 
Total adjustments2,317
 2,235
 52
 
Adjusted pro forma operating profit$5,272
 $4,796
 N/A 

Adjusted Income Taxes (a)
Reported income taxes$1,262 $847 
Add: Purchase accounting impacts - Linde AG (c)452 399 
Add: Pension settlement charges
Add: Cost reduction programs and other charges29 130 
Less: Bond Redemption— 
Total adjustments482 534 
Adjusted income taxes$1,744 $1,381 
Adjusted Effective Tax Rate (a)
Reported income before income taxes and equity investments$5,099 $3,384 
Add: Pension settlement charge
Add: Purchase accounting impacts - Linde AG (c)1,866 1,884 
Add: Cost reduction programs and other charges273 506 
Less: Bond Redemption— 16 
Total adjustments2,143 2,412 
Adjusted income before income taxes and equity investments$7,242 $5,796 
Reported Income taxes$1,262 $847 
Reported effective tax rate24.7 %25.0 %
Adjusted income taxes$1,744 $1,381 
Adjusted effective tax rate24.1 %23.8 %
Income from Equity Investments
Reported income from equity investments$119 $85 
Add: Cost reduction programs and other charges (d)35 — 
Add: Purchase accounting impacts - Linde AG (c)77 57 
Adjusted income from equity investments$231 $142 
Adjusted Noncontrolling Interests from Continuing Operations
Reported noncontrolling interests from continuing operations$(135)$(125)
Add: Cost reduction programs and other charges— (4)
Add: Purchase accounting impacts - Linde AG (c)(15)(57)
Total adjustments(15)(61)
Adjusted noncontrolling interests from continuing operations$(150)$(186)
Adjusted Income from Continuing Operations (b)
Reported income from continuing operations$3,821 $2,497 
Add: Pension settlement charge
Add: Cost reduction programs and other charges279 372 
Add: Purchase accounting impacts - Linde AG (c)1,476 1,485 
Less: Bond Redemption— 12 
Total adjustments1,758 1,874 
Adjusted income from continuing operations$5,579 $4,371 
39

Adjusted operating profit    $2,496
 
       
Reported percent change(44.1)% 114.7%   
Adjusted pro forma percent change9.9 % N/A   
       
Reported sales$28,228
 $14,836
 $11,358
 
Pro forma sales (a)28,163
 28,084
 N/A 
       
Reported operating margin10.4 % 35.4% 21.5% 
Pro forma operating margin10.5 % 9.1% N/A 
Adjusted pro forma operating margin18.7 % 17.1% N/A 
       
Adjusted Pro Forma Depreciation and amortization      
Reported depreciation and amortization$4,675
 $1,830
 $1,184

Pro forma adjustments (a)
 3,094
 N/A 
Pro forma4,675
 4,924
 N/A 
Non-GAAP Adjustments:      
Less: Purchase accounting impacts - Linde AG (d)(1,940) (2,233) 
 
Adjusted pro forma depreciation and amortization$2,735
 $2,691
 N/A 
Adjusted depreciation and amortization    $1,184
 
       
Adjusted Pro Forma Net pension and OPEB cost (benefit), excluding service cost      
Reported net pension and OPEB cost (benefit), excluding service cost$(32) $(4) $(4)
Pro forma adjustments (a)(97) (161) N/A 
Pro forma(129) (165) N/A 
Non-GAAP Adjustments:      
Add: Pension plan reorganization charge - net(10) (14) (2) 
Total adjustments(10) (14) (2) 
Adjusted pro forma Net Pension and OPEB cost (benefit), excluding service costs$(139) $(179) N/A 
Adjusted Net Pension and OPEB cost (benefit), excluding service costs    $(6) 
       
Adjusted Pro Forma Interest Expense - Net      
Reported interest expense - net$38
 $202
 $161
 
Pro forma adjustments (a)
 177
 N/A 
Pro forma38
 379
 N/A 
Non-GAAP Adjustments:

 

   
Less: Bond redemption
 (26) 
 
Less: Loss on hedge portfolio unwind
 (174) 
 
Add: Purchase accounting impacts - Linde AG (d)96
 100
 
 
Total adjustments96
 (100) 
 
Adjusted pro forma interest expense - net$134
 $279
 N/A 
Adjusted interest expense - net    $161
 
       
Adjusted Pro Forma Income Taxes(b)      
Reported income taxes$769
 $817
 $1,026

Pro forma adjustments (a)(20) (147) N/A 
Pro forma749
 670
 N/A 
Non-GAAP Adjustments:
 
   

Adjusted Diluted EPS from Continuing Operations (b)
Reported diluted EPS from continuing operations$7.32 $4.70 
Add: Pension settlement charge0.01 0.01 
Add: Cost reduction programs and other charges0.53 0.70 
Less: Bond Redemption— 0.02 
Add: Purchase accounting impacts - Linde AG2.83 2.80 
Total adjustments3.37 3.53 
Adjusted diluted EPS from continuing operations$10.69 $8.23 
Reported percentage change56 %
Adjusted percentage change30 %
Adjusted EBITDA and % of Sales
Income from continuing operations$3,821 $2,497 
Add: Noncontrolling interests related to continuing operations135 125 
Add: Net pension and OPEB cost (benefit), excluding service cost(192)(177)
Add: Interest expense77 115 
Add: Income taxes1,262 847 
Add: Depreciation and amortization4,635 4,626 
EBITDA from continuing operations9,738 8,033 
Add: Cost reduction programs and other charges308 506 
Add: Purchase accounting impacts - Linde AG133 106 
Total adjustments441 612 
Adjusted EBITDA from continuing operations$10,179 $8,645 
Reported sales$30,793 $27,243 
% of sales
EBITDA from continuing operations31.6 %29.5 %
Adjusted EBITDA from continuing operations33.1 %31.7 %
40
Add: Bond redemption
 6
 
 
Add: Pension settlement charge
 3
 1
 
Add: Purchase accounting impacts - Linde AG (d)447
 516
 
 
Add: Cost reduction programs and other charges71
 (1) 4
 
Add: Tax reform
 17
 (394) 
Total adjustments518
 541
 (389) 
Adjusted pro forma income taxes$1,267
 $1,211
 N/A 
Adjusted income taxes    $637
 
       
Adjusted Pro Forma Effective Tax Rate (b)      
Reported income before income taxes and equity investments$2,927
 $5,049
 $2,287
 
Pro forma adjustments (a)119
 (2,702) N/A 
 Pro forma3,046
 2,347
 N/A 
Non-GAAP Adjustments:      
Add: Bond redemption
 26
 
 
Add: Pension settlement charge
 14
 2
 
Add: Purchase accounting impacts - Linde AG (d)1,844
 2,133
 
 
Add: Cost reduction programs and other charges377
 53
 52
 
Add: Pension plan reorganization charge - net10
 
 
 
Add: Loss on hedge portfolio unwind
 174
 
 
Less: Net gain on sale of businesses
 (51) 
 
Total adjustments2,231
 2,349
 54
 
Adjusted pro forma income before income taxes and equity investments$5,277
 $4,696
 N/A 
Adjusted income before income taxes and equity investments    $2,341
 
       
Reported income taxes$769
 $817
 $1,026
 
Reported effective tax rate26.3 % 16.2% 44.9% 
       
Adjusted pro forma income taxes$1,267
 $1,211
 N/A 
Adjusted income taxes    $637
 
Adjusted pro forma effective tax rate24.0 % 25.8% N/A 
Adjusted effective tax rate    27.2% 
       
Income from Equity Investments      
Reported income from equity investments$114
 $56
 $47
 
Pro forma adjustments (a)
 (4) N/A 
Pro forma114
 52
 N/A 
Non-GAAP Adjustments:      
Add: Purchase accounting impacts - Linde AG (d)57
 64
 
 
Total adjustments57
 64
 
 
Adjusted pro forma income from equity investments$171
 $116
 N/A 
Adjusted income from equity investments    $47
 
       
Adjusted Noncontrolling Interests from Continuing Operations      
Reported noncontrolling interests from continuing operations$(89) $(15) $(61)
Pro forma adjustments (a)
 15
 N/A 
Pro forma(89) 
 N/A 
Non-GAAP adjustments:      
Add: Cost reduction programs and other charges(35) 
 
 


Add: Purchase accounting impacts - Linde AG (d)(54) (168) 
 
Total adjustments(89) (168) 
 
Adjusted pro forma noncontrolling interests from continuing operations$(178) $(168) N/A 
Adjusted noncontrolling interests from continuing    $(61) 
Adjusted Income from Continuing Operations (c)      
Reported income from continuing operations$2,183
 $4,273
 $1,247

Pro forma adjustments (a)139
 (2,544) N/A 
Pro forma2,322
 1,729
 N/A 
Non-GAAP adjustments:      
Add: Pension settlement charge
 11
 1
 
Add: Cost reduction programs and other charges281
 53
 48
 
Less: Net gain on sale of business
 (50) 
 
Add: Bond Redemption
 20
 
 
Add: Loss on hedge portfolio unwind
 174
 
 
Less: Other tax charges
 (17) 394
 
Add: Purchase accounting impacts - Linde AG1,400
 1,513
 
 
Total adjustments1,681
 1,704
 443
 
Adjusted pro forma income from continuing operations$4,003
 $3,433
 N/A 
Adjusted income from continuing operations    $1,690
 
       
Adjusted Pro Forma Diluted EPS from Continuing Operations (c)      
Reported diluted EPS from continuing operations$4.00
 $12.79
 $4.32
 
Pro forma adjustments (a)0.25
 (9.68) N/A 
Pro forma4.25
 3.11
 N/A 
Non-GAAP adjustments:      
Add: Pension settlement charge
 0.03
 
 
Add: Cost reduction programs and other charges0.52
 0.09
 0.17
 
Less: Net gain on sale of business
 (0.09) 
 
Add: Bond redemption
 0.04
 
 
Add: Loss on hedge portfolio unwind
 0.31
 
 
Less Income tax reform
 (0.03) 1.36
 
Add: Purchase accounting impacts - Linde AG2.57
 2.73
 
 
Total adjustments3.09
 3.08
 1.53
 
Adjusted pro forma diluted EPS from continuing operations$7.34
 $6.19
 N/A 
Adjusted diluted EPS from continuing operations    $5.85
 
       
Adjusted Pro Forma EBITDA and % of Sales      
Income from continuing operations$2,183
 $4,273
 $1,247
 
Add: Noncontrolling interests related to continuing operations89
 15
 61
 
Add: Net pension and OPEB cost (benefit), excluding service cost(32) (4) (4) 
Add: Interest expense38
 202
 161
 
Add: Income taxes769
 817
 1,026
 
Add: Depreciation and amortization4,675
 1,830
 1,184
 
EBITDA from continuing operations7,722
 7,133
 3,675
 
Pro forma adjustments (a)      
Add: Linde AG consolidated results
 3,917
 N/A 
Add: Purchase accounting impacts - Linde AG12
 315
 N/A 

Add: Cost reduction programs and other charges190
 576
 N/A 
Less: Net gain on sale of businesses(164) (3,294) N/A 
Less: Divestitures(16) (1,110) N/A 
Pro forma adjustments22
 404
 N/A 
Pro forma EBITDA from continuing operations7,744
 7,537
 N/A 
Non-GAAP adjustments:      
Less: Net gain on sale of business
 (51) 
 
Add: Cost reduction programs and other charges377
 53
 52
 
Add: Purchase accounting impacts - Linde AG57
 64
 
 
Total adjustments434
 66
 52
 
Adjusted pro forma EBITDA from continuing operations$8,178
 $7,603
 N/A 
Adjusted EBITDA from continuing operations    $3,727
 
       
Reported sales$28,228
 $14,836
 $11,358
 
Pro forma sales$28,163
 $28,084
 N/A 
% of sales      
EBITDA from continuing operations27.4 %
48.1% 32.4% 
Pro forma EBITDA from continuing operations27.5 % 26.8% N/A 
Adjusted pro forma EBITDA from continuing operations29.0 %
27.1% N/A 
Adjusted EBITDA from continuing operations    32.8% 
(a) See pro forma Income Statement Information in the preceding sections.
(b) The income tax expense (benefit) on the non-GAAP pre-tax adjustments was determined using the applicable tax rates for the jurisdictions that were utilized in calculating the GAAP income tax expense (benefit) and included both current and deferred income tax amounts.
(c)(b) Net of income taxes which are shown separately in “Adjusted Income Taxes and Effective Tax Rate”.
(d)(c) The company believes that its non-GAAP measures excluding Purchase accounting impacts - Linde AG are useful to investors because: (i) the business combination was a merger of equals in an all-stock merger transaction, with no cash consideration, (ii) the company is managed on a geographic basis and the results of certain geographies are more heavily impacted by purchase accounting than others, causing results that are not comparable at the reportable segment level, therefore, the impacts of purchasing accounting adjustments to each segment vary and are not comparable within the company and when compared to other companies in similar regions, (iii) business management is evaluated and variable compensation is determined based on results excluding purchase accounting impacts, and; (iv) it is important to investors and analysts to understand the purchase accounting impacts to the financial statements.

A summary of each of the adjustments made for Purchase accounting impacts - Linde AG are as follows:

Adjusted Operating Profit and Margin: The purchase accounting adjustments for the year ended December 31, 2019 include (i) a $12 million adjustment for the increase in cost of sales relatedperiods presented relate primarily to the fair value step up of inventories acquired in the merger (included as a pro forma adjustment), and (ii) $1,940 in depreciation and amortization related to the fair value step up of fixed assets and intangible assets (primarily customer related) acquired in the merger.merger and the allocation of fair value step-up for ongoing Linde AG asset disposals (reflected in Other Income/(Expense)).
Adjusted Interest Expense - Net: Relates to the amortization of the fair value of debt acquired in the merger.
Adjusted Income Taxes and Effective Tax Rate: Relates to the current and deferred income tax impact on the adjustments discussed above. The income tax expense (benefit) on the non-GAAP pre-tax adjustments was determined using the applicable tax rates for the jurisdictions that were utilized in calculating the GAAP income tax expense (benefit) and included both current and deferred income tax amounts.
Adjusted Income from Equity Investments: Represents the amortization of increased fair value on equity investments related to depreciable and amortizable assets.
Adjusted Noncontrolling Interests from Continuing Operations: Represents the noncontrolling interests’ ownership portion of the adjustments described above determined on an entity by entity basis.

(d) Impairment charge related to a joint venture in the APAC segment

Net Debt and Adjusted Net Debt
Net debt is a financial liquidity measure used by investors, financial analysts and management to evaluate the ability of a company to repay its debt. Purchase accounting impacts have been excluded as they are non-cash and do not have an impact on liquidity.
December 31,
2021
December 31,
2020
(Millions of dollars)  
Debt$14,207 $16,154 
Less: cash and cash equivalents(2,823)(3,754)
Net debt11,384 12,400 
Less: purchase accounting impacts - Linde AG(61)(121)
Adjusted net debt$11,323 $12,279 

41
 December 31,
2019
 December 31,
2018
(Millions of dollars)   
Debt$13,956
 $15,296
Less: cash and cash equivalents(2,700) (4,466)
Net debt11,256
 10,830
Less: purchase accounting impacts - Linde AG(195) (291)
Adjusted net debt$11,061
 $10,539


SUPPLEMENTAL GUARANTEE INFORMATION


On June 6, 2020, the company filed a Form S-3 Registration Statement with the SEC (the "Registration Statement").


Linde plc may offer debt securities, preferred shares, depositary shares and ordinary shares under the Registration Statement, and debt securities exchangeable for or convertible into preferred shares, ordinary shares or other debt securities. Debt securities of Linde plc may be guaranteed by Linde Inc. (previously Praxair, Inc.) and/or Linde GmbH (previously Linde AG). Linde plc may provide guarantees of debt securities offered by its wholly owned subsidiaries Linde Inc. or Linde Finance under the Registration Statement.


Linde Inc. is a wholly owned subsidiary of Linde plc. Linde Inc. may offer debt securities under the Registration Statement. Debt securities of Linde Inc. will be guaranteed by Linde plc, and such guarantees by Linde plc may be guaranteed by Linde GmbH. Linde Inc. may also provide (i) guarantees of debt securities offered by Linde plc under the Registration Statement and (ii) guarantees of the guarantees provided by Linde plc of debt securities of Linde Finance offered under the Registration Statement.

Linde Finance B.V. is a wholly owned subsidiary of Linde plc. Linde Finance may offer debt securities under the Registration Statement. Linde plc will guarantee debt securities of Linde Finance offered under the Registration Statement. Linde GmbH and Linde Inc. may guarantee Linde plc’s obligations under its downstream guarantee.

Linde GmbH is a wholly owned subsidiary of Linde plc. Linde GmbH may provide (i) guarantees of debt securities offered by Linde plc under the Registration Statement and (ii) upstream guarantees of downstream guarantees provided by Linde plc of debt securities of Linde Inc. or Linde Finance offered under the Registration Statement.

In September 2019, Linde plc provided downstream guarantees of all of the pre-business combination Linde Inc. and Linde Finance notes, and Linde GmbH and Linde Inc., respectively, provided upstream guarantees of Linde plc’s downstream guarantees.

For further information about the guarantees of the debt securities registered under the Registration Statement (including the ranking of such guarantees, limitations on enforceability of such guarantees and the circumstances under which such guarantees may be released), see “Description of Debt Securities – Guarantees” and “Description of Debt Securities – Ranking” in the Registration Statement, which subsections are incorporated herein by reference.

The following tables present summarized financial information for Linde plc, Linde Inc., Linde GmbH and Linde Finance on a combined basis, after eliminating intercompany transactions and balances between them and excluding investments in and equity in earnings from non-guarantor subsidiaries.
42

(Millions of dollars)
Statement of Income DataTwelve Months Ended December 31, 2021Twelve Months Ended December 31, 2020
Sales$7,767 $6,876 
Operating profit973 786 
Net income721 690 
Transactions with non-guarantor subsidiaries2,067 2,222 
Balance Sheet Data (at period end)
Current assets (a)$5,826 $4,174 
Long-term assets (b)15,928 17,978 
Current liabilities (c)8,853 8,337 
Long-term liabilities (d)42,860 39,208 
(a) From current assets above, amount due from non-guarantor subsidiaries
$4,209 $1,984 
(b) From long-term assets above, amount due from non-guarantor subsidiaries3,257 4,565 
(c) From current liabilities above, amount due to non-guarantor subsidiaries1,304 1,054 
(d) From long-term liabilities above, amount due to non-guarantor subsidiaries28,142 23,394 

43

ITEM 7A.     QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
Linde is exposed to market risks relating to fluctuations in interest rates and currency exchange rates. The objective of financial risk management at Linde is to minimize the negative impact of interest rate and foreign exchange rate fluctuations on the company’s earnings, cash flows and equity.
To manage these risks, Linde uses various derivative financial instruments, including interest-rate swaps, treasury rate locks, currency swaps, forward contracts, and commodity contracts. Linde only uses commonly traded and non-leveraged instruments. These contracts are entered into primarily with major banking institutions thereby minimizing the risk of credit loss. Also, see Notes 2Note 1 and 14Note 12 to the consolidated financial statements for a more complete description of Linde’s accounting policies and use of such instruments.
The following discussion presents the sensitivity of the market value, earnings and cash flows of Linde’s financial instruments to hypothetical changes in interest and exchange rates assuming these changes occurred at December 31, 2019.2021. The range of changes chosen for these discussions reflects Linde’s view of changes which are reasonably possible over a one-year period. Market values represent the present values of projected future cash flows based on interest rate and exchange rate assumptions.
Interest Rate Risk
At December 31, 2019,2021, Linde had debt totaling $13,956$14,207 million ($15,29616,154 million at December 31, 2018)2020). For fixed-rate instruments, interest rate changes affect the fair market value but do not impact earnings or cash flows. Conversely, for floating-rate instruments, interest rate changes generally do not affect the fair market value of the instrument but impact future earnings and cash flows, assuming that other factors are held constant. At December 31, 2019,2021, including the impact of derivatives, Linde had fixed-rate debt of $10,799$12,492 million and floating-rate debt of $3,157$1,715 million, representing 77%88% and 23%12%, respectively, of total debt. At December 31, 2018,2020, Linde had fixed-rate debt of $12,565$10,365 million and floating-rate debt of $2,731$5,789 million, representing 82%64% and 18%36%, respectively, of total debt.
Fixed Rate Debt
In order to mitigate interest rate risk, when considered appropriate, interest-rate swaps are entered into as hedges of underlying financial instruments to effectively change the characteristics of the interest rate without actually changing the underlying financial instrument. At December 31, 2019,2021, Linde had fixed-to-floating interest rate swaps outstanding that were designated as hedging instruments of the underlying debt issuances - refer to Note 1412 to the consolidated financial statements for additional information. This sensitivity analysis assumes that, holding all other variables constant (such as foreign exchange rates, swaps and debt levels), a one hundred basis point increase in interest rates would decrease the unrealized fair market value of the fixed-rate debt portfolio by approximately $473$834 million ($594674 million in 2018)2020). A one hundred basis point increase in interest rates would result in an approximate $73$37 million increasedecrease to derivative assets recorded.
Variable Rate Debt
At December 31, 2019,2021, the after-tax earnings and cash flows impact of a one hundred basis point increase in interest rates, including offsetting impact of derivatives, on the variable-rate debt portfolio would be approximately $48$33 million ($2444 million in 2018)2020).
Foreign Currency Risk
Linde’s exchange-rate exposures result primarily from its investments and ongoing operations in Latin America (primarily Brazil Chile and Colombia)Mexico), Europe (primarily Germany, Scandinavia, and the United Kingdom)U.K.), Canada, Mexico, Asia Pacific (primarily Australia and China) and other business transactions such as the procurement of equipment from foreign sources. Linde frequently utilizes currency contracts to hedge these exposures. At December 31, 2019,2021, Linde had a notional amount outstanding of $9,713$5,870 million ($9,4127,553 million at December 31, 2018)2020) related to foreign exchange contracts. The majority of these were to hedge recorded balance sheet exposures, primarily intercompany loans denominated in non-functional currencies. See Note 1412 to the consolidated financial statements.
Holding all other variables constant, if there were a 10% increase in foreign-currency exchange rates for the portfolio, the fair market value of foreign-currency contracts outstanding at December 31, 20192021 would increasedecrease by approximately $194$28 million and at December 31, 20182020 would decrease by approximately $307$99 million, which would be largely offset by an offsetting loss or gain on the foreign-currency fluctuation of the underlying exposure being hedged.

44

ITEM 8.     FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
INDEX TO CONSOLIDATED FINANCIAL STATEMENTS
Page
Audited Consolidated Financial Statements
Notes to Consolidated Financial Statements

45

MANAGEMENT’S STATEMENT OF RESPONSIBILITY FOR FINANCIAL STATEMENTS
Linde’s consolidated financial statements are prepared by management, which is responsible for their fairness, integrity and objectivity. The accompanying financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America applied on a consistent basis, except for accounting changes as disclosed, and include amounts that are estimates and judgments. All historical financial information in this annual report is consistent with the accompanying financial statements.
Linde maintains accounting systems, including internal accounting controls, monitored by a staff of internal auditors, that are designed to provide reasonable assurance of the reliability of financial records and the protection of assets. The concept of reasonable assurance is based on recognition that the cost of a system should not exceed the related benefits. The effectiveness of those systems depends primarily upon the careful selection of financial and other managers, clear delegation of authority and assignment of accountability, inculcation of high business ethics and conflict-of-interest standards, policies and procedures for coordinating the management of corporate resources, and the leadership and commitment of top management. In compliance with Section 404 of the Sarbanes-Oxley Act of 2002, Linde assessed its internal control over financial reporting and issued a report (see below).
The Audit Committee of the Board of Directors, which consists solely of non-employee directors, is responsible for overseeing the functioning of the accounting system and related controls and the preparation of annual financial statements. The Audit Committee periodically meets with management, internal auditors and the independent accountantsregistered public accounting firm to review and evaluate their accounting, auditing and financial reporting activities and responsibilities, including management’s assessment of internal control over financial reporting. The independent registered public accounting firm and internal auditors have full and free access to the Audit Committee and meet with the committee, with and without management present.

MANAGEMENT’S REPORT ON INTERNAL CONTROL OVER FINANCIAL REPORTING
Linde’s management is responsible for establishing and maintaining adequate internal control over financial reporting, as such term is defined in Exchange Act Rule 13a-15(f). Under the supervision and with the participation of management, including the company’s principal executive officer and principal financial officer, the company conducted an evaluation of the effectiveness of its internal control over financial reporting based on the framework in Internal Control – Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission (often referred to as COSO). Based on this evaluation, management concluded that the company’s internal control over financial reporting was effective as of December 31, 2019.2021.
Linde’s evaluation of internal control over financial reporting as of December 31, 2019 did not include the internal control over financial reporting related to Linde AG which was acquired by Praxair in a merger accounted for as a business combination. In connection with its antitrust review of the transaction, the U.S. Federal Trade Commission (the “FTC”) imposed a Hold Separate Order (the “HSO”) on Linde that was lifted on March 1, 2019 after all required asset divestitures in the U.S. were completed. The HSO required the companies to continue to operate globally as separate and independent companies apart from each other in all material respects. As such, the HSO regulatory restrictions prohibited Linde from being able to perform procedures necessary to complete an overall assessment of Linde AG’s disparate internal control environment with operations in over 100 countries. Because of this, the assessment of Linde AG’s internal control environment could only begin after the HSO was terminated on March 1, 2019, and as such Linde AG has been excluded from the overall Linde internal control assessment as of December 31, 2019.
Total assets and sales for Linde AG represent approximately 23% and 62%, respectively, of the related consolidated financial statement amounts as of and for the year ended December 31, 2019.
PricewaterhouseCoopers LLP, an independent registered public accounting firm, has audited and issued their opinion on the effectiveness of the company’s internal control over financial reporting as of December 31, 20192021 as stated in their report.
/s/    STEPHEN F. ANGEL
/s/    KELCEY E. HOYT
Stephen F. Angel

Chief Executive Officer
Kelcey E. Hoyt

Chief Accounting Officer
/s/    MATTHEW J. WHITE
Matthew J. White

Chief Financial Officer

March 2, 2020February 28, 2022

46

Report of Independent Registered Public Accounting Firm
To the Board of Directors and Shareholders of Linde plc
Opinions on the Financial Statements and Internal Control over Financial Reporting
We have audited the accompanying consolidated balance sheets of Linde plc and its subsidiaries (the “Company”) as of December 31, 20192021 and 2018,2020, and the related consolidated statements of income, of comprehensive income, of equity and of cash flows for each of the three years in the period ended December 31, 2019,2021, including the related notes (collectively referred to as the “consolidated financial statements”). We also have audited the Company's internal control over financial reporting as of December 31, 2019,2021, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO).
In our opinion, the consolidated financial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 20192021 and 2018,2020, and the results of its operations and its cash flows for each of the three years in the period ended December 31, 20192021 in conformity with accounting principles generally accepted in the United States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2019,2021, based on criteria established in Internal Control - Integrated Framework (2013) issued by the COSO.
Basis for Opinions
The Company's management is responsible for these consolidated financial statements, for maintaining effective internal control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included in the accompanying Management’s Report on Internal Control Over Financial Reporting. Our responsibility is to express opinions on the Company’s consolidated financial statements and on the Company's internal control over financial reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.
We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audits to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material respects.
Our audits of the consolidated financial statements included performing procedures to assess the risks of material misstatement of the consolidated financial statements, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidated financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the consolidated financial statements. Our audit of internal control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the circumstances. We believe that our audits provide a reasonable basis for our opinions.
As described in Management’s Report on Internal Control over Financial Reporting, management has excluded Linde Aktiengesellschaft ("Linde AG") from its assessment of internal control over financial reporting as of December 31, 2019 because it was acquired in a merger accounted for as a business combination during 2018 and subject to a hold separate order issued by the U.S. Federal Trade Commission until March 2019. We have also excluded Linde AG from our audit of internal control over financial reporting. Linde AG is a wholly-owned subsidiary whose total assets and total sales excluded from management’s assessment and our audit of internal control over financial reporting represent approximately 23% and 62%, respectively, of the related consolidated financial statement amounts as of and for the year ended December 31, 2019.
Definition and Limitations of Internal Control over Financial Reporting
A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with

generally accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or disposition of the company’s assets that could have a material effect on the financial statements.
47

Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.
Critical Audit Matters
The critical audit mattersmatter communicated below are mattersis a matter arising from the current period audit of the consolidated financial statements that werewas communicated or required to be communicated to the audit committee and that (i) relaterelates to accounts or disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated financial statements, taken as a whole, and we are not, by communicating the critical audit mattersmatter below, providing a separate opinionsopinion on the critical audit mattersmatter or on the accounts or disclosures to which they relate.it relates.
Revenue Recognition - Estimated Costs at Completion
As described in Note 2119 to the consolidated financial statements, $2,799$2,867 million of the Company’s total revenues for the year ended December 31, 20192021 was generated from the sale of equipment contracts. Sale of equipment contracts are generally comprised of a single performance obligation. Revenue from sale of equipment is generally recognized over time as the Company has an enforceable right to payment for performance completed to date and performance does not create an asset with alternative use. For contracts recognized over time, revenue is recognized primarily using a cost incurred input method. Costs incurred to date relative to total estimated costs at completion are used to measure progress toward satisfying performance obligations. Costs incurred include material, labor, and overhead costs and represent work contributing and proportionate to the transfer of control to the customer.
The principal considerations for our determination that performing procedures relating to revenue recognition - estimated costs at completion is a critical audit matter are there was(i) the significant judgment by management when developing the estimated costs at completion for the sale of equipment contracts. This in turn led tocontracts; (ii) a high degree of auditor judgment, subjectivity, and effort in performing procedures and evaluating audit evidence relatingrelated to the estimated costs at completion and management’s significant assumptions includingrelated to the total estimated expected material and labor costs. In addition,costs; and (iii) the audit effort involved the use of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.knowledge.
Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the revenue recognition process, including controls over developing the estimated costs at completion for sale of equipment contracts. These procedures also included, among others, evaluating and testing management’s process for developing the estimated costs at completion for the sale of equipment contracts, andwhich included evaluating the reasonableness of management’s significant assumptions includingrelated to the total estimated expected material and labor costs. Evaluating the reasonableness of management’s significant assumptions involved evaluating management’s ability to reasonably estimate costs at completion for the sale of equipment contracts on a sample basis by (i) performing a comparison of the originally estimated and actual costs incurred on similar completed equipment contracts, and (ii) evaluating the timely identification of circumstances that may warrant a modification to estimated costs at completion, including actual costs in excess of estimates. Professionals with specialized skill and knowledge were used to assist in evaluating the reasonableness of management’s estimates and significant assumptions relatingrelated to the expectedtotal estimated material and labor costs.
Goodwill Impairment Assessment
As described in Notes 2 and 11 to the consolidated financial statements, the Company’s consolidated goodwill balance was $27,019 million as of December 31, 2019. Management performs an impairment test annually, or more frequently if events or circumstances indicate that an impairment loss may have been incurred. The impairment test allows an entity to first assess qualitative factors to determine if it is more likely than not that the fair value of a reporting unit is less than its carrying value. If it is determined that it is more likely than not that the fair value of a reporting unit is less than its carrying

value then management will estimate and compare the fair value of the reporting unit to its carrying value, including goodwill. In estimating the fair value of each reporting unit, management applied a multiple of earnings from a peer group to the Company’s forecasted earnings for the year ending December 31, 2019. The peer group is comprised of comparable entities with similar operations and economic characteristics.
The principal considerations for our determination that performing procedures relating to the goodwill impairment assessment is a critical audit matter are there was significant judgment by management when developing the fair value measurement of the reporting units. This in turn led to a high degree of auditor judgment, subjectivity, and effort in performing procedures and evaluating audit evidence relating to management’s significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics. In addition, the audit effort involved the use of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.
Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to management’s goodwill impairment assessment, including controls over the valuation of the Company’s reporting units. These procedures also included, among others, i) testing management’s process for developing the fair value measurement of the reporting units, ii) evaluating the appropriateness of the multiples of earnings model, (iii) testing the completeness, accuracy, and relevance of underlying data used in the model, and (iv) evaluating management’s significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics. Evaluating management’s assumptions related to the multiples of earnings involved evaluating whether the assumptions used by management were reasonable considering (i) the consistency with external market and industry data and (ii) whether the assumptions were consistent with evidence obtained in other areas of the audit. Professionals with specialized skill and knowledge were used to assist in the evaluation of the Company’s multiples of earnings model and significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics.
 
 
/s/ PricewaterhouseCoopers LLP
Stamford, Connecticut
March 2, 2020February 28, 2022

We have served as the Company’s or its predecessor’s auditor since 1992.

48






CONSOLIDATED STATEMENTS OF INCOME
LINDE PLC AND SUBSIDIARIES
(Dollar amounts in millions, except per share data) 
Year Ended December 31,2019 2018 2017Year Ended December 31,202120202019
Sales$28,228
 $14,836
 $11,358
Sales$30,793 $27,243 $28,228 
Cost of sales, exclusive of depreciation and amortization16,644
 9,020
 6,382
Cost of sales, exclusive of depreciation and amortization17,543 15,383 16,644 
Selling, general and administrative3,457
 1,629
 1,207
Selling, general and administrative3,189 3,193 3,457 
Depreciation and amortization4,675
 1,830
 1,184
Depreciation and amortization4,635 4,626 4,675 
Research and development184
 113
 93
Research and development143 152 184 
Cost reduction programs and other charges567
 309
 52
Cost reduction programs and other charges273 506 567 
Net gain on sale of businesses164
 3,294
 
Net gain on sale of businesses— — 164 
Other income (expenses) – net68
 18
 4
Other income (expenses) – net(26)(61)68 
Operating Profit2,933
 5,247
 2,444
Operating Profit4,984 3,322 2,933 
Interest expense – net38
 202
 161
Interest expense – net77 115 38 
Net pension and OPEB cost (benefit), excluding service cost(32) (4) (4)Net pension and OPEB cost (benefit), excluding service cost(192)(177)(32)
Income From Continuing Operations Before Income Taxes and Equity Investments2,927
 5,049
 2,287
Income From Continuing Operations Before Income Taxes and Equity Investments5,099 3,384 2,927 
Income taxes on continuing operations769
 817
 1,026
Income taxes on continuing operations1,262 847 769 
Income From Continuing Operations Before Equity Investments2,158
 4,232
 1,261
Income From Continuing Operations Before Equity Investments3,837 2,537 2,158 
Income from equity investments114
 56
 47
Income from equity investments119 85 114 
Income From Continuing Operations (Including Noncontrolling Interests)2,272
 4,288
 1,308
Income From Continuing Operations (Including Noncontrolling Interests)3,956 2,622 2,272 
Income from discontinued operations, net of tax109
 117
 
Income from discontinued operations, net of tax109 
Net Income (Including Noncontrolling Interests)2,381
 4,405
 1,308
Net Income (Including Noncontrolling Interests)3,961 2,626 2,381 
Less: noncontrolling interests from continuing operations(89) (15) (61)Less: noncontrolling interests from continuing operations(135)(125)(89)
Less: noncontrolling interests from discontinued operations(7) (9) 
Less: noncontrolling interests from discontinued operations— — (7)
Net Income – Linde plc$2,285
 $4,381
 $1,247
Net Income – Linde plc$3,826 $2,501 $2,285 

    
Net Income – Linde plc     Net Income – Linde plc
Income from continuing operations$2,183
 $4,273
 $1,247
Income from continuing operations$3,821 $2,497 $2,183 
Income from discontinued operations$102
 $108
 $
Income from discontinued operations$$$102 
     
Per Share Data – Linde plc Shareholders
    Per Share Data – Linde plc Shareholders
Basic earnings per share from continuing operations$4.03
 $12.93
 $4.36
Basic earnings per share from continuing operations$7.39 $4.74 $4.03 
Basic earnings per share from discontinued operations0.19
 0.33
 
Basic earnings per share from discontinued operations0.01 0.01 0.19 
Basic earnings per share$4.22
 $13.26
 $4.36
Basic earnings per share$7.40 $4.75 $4.22 
Diluted earnings per share from continuing operations$4.00
 $12.79
 $4.32
Diluted earnings per share from continuing operations$7.32 $4.70 $4.00 
Diluted earnings per share from discontinued operations0.19
 0.32
 
Diluted earnings per share from discontinued operations0.01 0.01 0.19 
Diluted earnings per share$4.19
 $13.11
 $4.32
Diluted earnings per share$7.33 $4.71 $4.19 

    
Weighted Average Shares Outstanding (000’s):
    Weighted Average Shares Outstanding (000’s):
Basic shares outstanding541,094
 330,401
 286,261
Basic shares outstanding516,896 526,736 541,094 
Diluted shares outstanding545,170
 334,127
 289,114
Diluted shares outstanding521,875 531,157 545,170 
The accompanying Notes are an integral part of these financial statements.


49

CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
LINDE PLC AND SUBSIDIARIES
(Dollar amounts in millions) 


Year Ended December 31,2019 2018 2017
 NET INCOME (INCLUDING NONCONTROLLING INTERESTS)$2,381
 $4,405
 $1,308
      
OTHER COMPREHENSIVE INCOME (LOSS)     
Translation adjustments:     
Foreign currency translation adjustments118
 (401) 433
Reclassifications to net income (Note 4)12
 318
 
Income taxes3
 7
 92
Translation adjustments133
 (76) 525
Funded status - retirement obligations (Note 18):     
Retirement program remeasurements(852) (260) (39)
Reclassifications to net income154
 94
 55
Income taxes154
 (55) (5)
Funded status - retirement obligations(544) (221) 11
Derivative instruments (Note 14):     
Current year unrealized gain (loss)(32) 
 
Reclassifications to net income
 (1) 
Income taxes7
 
 
Derivative instruments(25) (1) 
Securities (Note 9):     
Current year unrealized gain (loss)1
 (1) 
Reclassifications to net income
 
 
Income taxes
 
 
Securities1
 (1) 
TOTAL OTHER COMPREHENSIVE INCOME (LOSS)(435) (299) 536
      
COMPREHENSIVE INCOME (INCLUDING NONCONTROLLING INTERESTS)1,946
 4,106
 1,844
Less: noncontrolling interests(19) (83) (95)
COMPREHENSIVE INCOME - LINDE PLC$1,927
 $4,023
 $1,749

Year Ended December 31,202120202019
 NET INCOME (INCLUDING NONCONTROLLING INTERESTS)$3,961 $2,626 $2,381 
OTHER COMPREHENSIVE INCOME (LOSS)
Translation adjustments:
Foreign currency translation adjustments(1,116)565 118 
Reclassifications to net income(52)— 12 
Income taxes(7)30 
Translation adjustments(1,175)595 133 
Funded status - retirement obligations (Note 16):
Retirement program remeasurements826 (675)(852)
Reclassifications to net income175 92 154 
Income taxes(255)114 154 
Funded status - retirement obligations746 (469)(544)
Derivative instruments (Note 12):
Current year unrealized gain (loss)140 (3)(32)
Reclassifications to net income(49)42 — 
Income taxes(20)(8)
Derivative instruments71 31 (25)
Securities:
Current year unrealized gain (loss)— — 
Reclassifications to net income— — — 
Income taxes— — — 
Securities— — 
TOTAL OTHER COMPREHENSIVE INCOME (LOSS)(358)157 (435)
COMPREHENSIVE INCOME (INCLUDING NONCONTROLLING INTERESTS)3,603 2,783 1,946 
Less: noncontrolling interests(135)(158)(19)
COMPREHENSIVE INCOME - LINDE PLC$3,468 $2,625 $1,927 
The accompanying Notes are an integral part of these financial statements.



50

CONSOLIDATED BALANCE SHEETS
LINDE PLC AND SUBSIDIARIES
(Dollar amounts in millions) 
December 31,2019 2018December 31,20212020
Assets   Assets
Cash and cash equivalents$2,700
 $4,466
Cash and cash equivalents$2,823 $3,754 
Accounts receivable – net4,322
 4,297
Accounts receivable – net4,499 4,167 
Contract assets368
 283
Contract assets134 162 
Inventories1,697
 1,651
Inventories1,733 1,729 
Assets held for sale125
 5,498
Prepaid and other current assets1,140
 1,077
Prepaid and other current assets970 1,112 
Total Current Assets10,352
 17,272
Total Current Assets10,159 10,924 
Property, plant and equipment – net29,064
 29,717
Property, plant and equipment – net26,003 28,711 
Equity investments2,027
 1,838
Equity investments2,619 2,061 
Goodwill27,019
 26,874
Goodwill27,038 28,201 
Other intangible assets – net16,137
 16,223
Other intangible assets – net13,802 16,184 
Other long-term assets2,013
 1,462
Other long-term assets1,984 2,148 
Total Assets$86,612
 $93,386
Total Assets$81,605 $88,229 
Liabilities and Equity
  Liabilities and Equity
Accounts payable$3,266
 $3,219
Accounts payable$3,503 $3,095 
Short-term debt1,732
 1,485
Short-term debt1,163 3,251 
Current portion of long-term debt1,531
 1,523
Current portion of long-term debt1,709 751 
Contract liabilities1,758
 1,546
Contract liabilities2,940 1,769 
Accrued taxes370
 657
Accrued taxes429 542 
Liabilities of assets held for sale2
 768
Other current liabilities3,501
 3,758
Other current liabilities3,899 4,332 
Total Current Liabilities12,160
 12,956
Total Current Liabilities13,643 13,740 
Long-term debt10,693
 12,288
Long-term debt11,335 12,152 
Other long-term liabilities4,888
 3,435
Other long-term liabilities4,188 5,519 
Deferred credits7,236
 7,611
Deferred credits6,998 7,236 
Total Liabilities34,977
 36,290
Total Liabilities36,164 38,647 
Commitments and contingencies (Note 19)

 

Commitments and contingencies (Note 17)Commitments and contingencies (Note 17)00
Redeemable noncontrolling interests113
 16
Redeemable noncontrolling interests13 13 
Linde plc Shareholders’ Equity:   Linde plc Shareholders’ Equity:
Ordinary shares (€0.001 par value, authorized 1,750,000,000 shares, 2019 issued: 552,012,862 ordinary shares; 2018 issued: 551,310,272 ordinary shares)1
 1
Ordinary shares (€0.001 par value, authorized 1,750,000,000 shares, 2021 issued: 552,012,862 ordinary shares; 2020 issued: 552,012,862 ordinary shares) Ordinary shares (€0.001 par value, authorized 1,750,000,000 shares, 2021 issued: 552,012,862 ordinary shares; 2020 issued: 552,012,862 ordinary shares)
Additional paid-in capital40,201
 40,151
Additional paid-in capital40,180 40,202 
Retained earnings16,842
 16,529
Retained earnings18,710 17,178 
Accumulated other comprehensive income (loss)(4,814) (4,456)Accumulated other comprehensive income (loss)(5,048)(4,690)
Less: Treasury stock, at cost (2019 – 17,632,318 shares and
2018 – 4,068,642 shares)
(3,156) (629)
Less: Treasury shares, at cost (2021 – 43,331,983 shares and
2020 – 28,718,333 shares)
Less: Treasury shares, at cost (2021 – 43,331,983 shares and
2020 – 28,718,333 shares)
(9,808)(5,374)
Total Linde plc Shareholders’ Equity49,074
 51,596
Total Linde plc Shareholders’ Equity44,035 47,317 
Noncontrolling interests2,448
 5,484
Noncontrolling interests1,393 2,252 
Total Equity51,522
 57,080
Total Equity45,428 49,569 
Total Liabilities and Equity$86,612
 $93,386
Total Liabilities and Equity$81,605 $88,229 
The accompanying Notes are an integral part of these financial statements.

51

CONSOLIDATED STATEMENTS OF CASH FLOWS
LINDE PLC AND SUBSIDIARIES
(Millions of dollars)
Year Ended December 31,202120202019
Increase (Decrease) in Cash and Cash Equivalents
Operations
Net income – Linde plc$3,826 $2,501 $2,285 
Less: income from discontinued operations, net of tax and noncontrolling interests(5)(4)(102)
Add: Noncontrolling interests from continuing operations135 125 89 
Income from continuing operations (including noncontrolling interests)$3,956 $2,622 $2,272 
Adjustments to reconcile net income to net cash provided by operating activities:
Cost Reduction Programs and other charges, net of payments98 258 (236)
Amortization of merger-related inventory step-up— — 12 
Depreciation and amortization4,635 4,626 4,675 
Deferred income taxes(254)(369)(303)
Share-based compensation128 133 95 
Net gain on sale of businesses, net of tax— — (108)
Non-cash charges and other(19)152 (127)
Working capital
Accounts receivable(553)19 80 
Contract assets and liabilities, net1,307 90 87 
Inventory(129)18 (81)
Prepaid and other current assets76 128 (72)
Payables and accruals447 109 (174)
Pension contributions(42)(91)(94)
Long-term assets, liabilities and other75 (266)93 
Net cash provided by operating activities9,725 7,429 6,119 
Investing
Capital expenditures(3,086)(3,400)(3,682)
Acquisitions, net of cash acquired(88)(68)(225)
Divestitures and asset sales, net of cash divested167 482 5,096 
Net cash provided by (used for) investing activities(3,007)(2,986)1,189 
Financing
Short-term debt borrowings (repayments) – net(1,329)1,198 224 
Long-term debt borrowings2,283 2,796 99 
Long-term debt repayments(1,468)(2,681)(1,583)
Issuances of ordinary shares50 47 72 
Purchases of ordinary shares(4,612)(2,457)(2,658)
Cash dividends – Linde plc shareholders(2,189)(2,028)(1,891)
Noncontrolling interest transactions and other(323)(220)(3,260)
Net cash used for financing activities(7,588)(3,345)(8,997)
Discontinued Operations
Cash provided by operating activities$— $— $69 
Cash used for investing activities— — (60)
Cash provided by financing activities— — 
Net cash provided by discontinued operations— — 14 
Effect of exchange rate changes on cash and cash equivalents(61)(44)(77)
Change in cash and cash equivalents(931)1,054 (1,752)
Cash and cash equivalents, beginning-of-period3,754 2,700 4,466 
Cash and cash equivalents, including discontinued operations$2,823 $3,754 $2,714 
Cash and cash equivalents of discontinued operations— — (14)
Cash and cash equivalents, end-of-period$2,823 $3,754 $2,700 
Supplemental Data
52

Year Ended December 31,2019 2018 2017
Increase (Decrease) in Cash and Cash Equivalents     
Operations     
Net income – Linde plc$2,285
 $4,381
 $1,247
Less: income from discontinued operations, net of tax and noncontrolling interests(102) (108) 
Add: Noncontrolling interests from continuing operations89
 15
 61
Income from continuing operations (including noncontrolling interests)$2,272
 $4,288
 $1,308
Adjustments to reconcile net income to net cash provided by operating activities:     
Cost Reduction Programs and other charges, net of payments(236) 40
 26
Amortization of merger-related inventory step-up12
 368
 
Tax Act income tax charge, net
 (61) 394
Depreciation and amortization4,675
 1,830
 1,184
Deferred income taxes, excluding Tax Act(303) (187) 136
Share-based compensation95
 62
 59
Net gain on sale of businesses, net of tax(108) (2,923) 
Non-cash charges and other(127) 175
 43
Working capital     
Accounts receivable80
 (124) (92)
Contract assets and liabilities, net87
 
 
Inventory(81) (4) (22)
Prepaid and other current assets(72) 43
 (66)
Payables and accruals(174) 287
 22
Pension contributions(94) (87) (19)
Long-term assets, liabilities and other93
 (53) 68
Net cash provided by operating activities6,119
 3,654
 3,041
Investing     
Capital expenditures(3,682) (1,883) (1,311)
Acquisitions, net of cash acquired(225) (25) (33)
Divestitures and asset sales, net of cash divested5,096
 5,908
 30
Cash acquired in merger transaction
 1,363
 
Net cash provided by (used for) investing activities1,189
 5,363
 (1,314)
Financing     
Short-term debt borrowings (repayments) – net224
 208
 (199)
Long-term debt borrowings99
 8
 11
Long-term debt repayments(1,583) (3,124) (583)
Issuances of ordinary shares72
 77
 120
Purchases of ordinary shares(2,658) (599) (12)
Cash dividends – Linde plc shareholders(1,891) (1,166) (901)
Noncontrolling interest transactions and other(3,260) (402) (92)
Net cash used for financing activities(8,997) (4,998) (1,656)
Discontinued Operations     
Cash provided by operating activities$69
 $48
 $
Cash used for investing activities(60) (23) 
Cash provided by financing activities5
 2
 
Net cash provided by discontinued operations14
 27
 
Effect of exchange rate changes on cash and cash equivalents(77) (60) 22
Change in cash and cash equivalents(1,752) 3,986
 93
Cash and cash equivalents, beginning-of-period4,466
 617
 524
Cash and cash equivalents, including discontinued operations$2,714
 $4,603
 $617

Cash and cash equivalents of discontinued operations(14) (137) 
Cash and cash equivalents, end-of-period$2,700
 $4,466
 $617
      
Supplemental Data     
Income taxes paid$1,357
 $757
 $565
Interest paid, net of capitalized interest (Note 9)$275
 $214
 $184
Income taxes paid$1,710 $1,066 $1,357 
Interest paid, net of capitalized interest (Note 7)$233 $322 $275 
The accompanying Notes are an integral part of these financial statements.

53


CONSOLIDATED STATEMENTS OF EQUITY
LINDE PLC AND SUBSIDIARIES
(Dollar amounts in millions, except per share data, shares in thousands) 
 Linde plc Shareholders’ Equity    
 Ordinary shares 
Additional
Paid-in
Capital
 
Retained
Earnings
 
Accumulated  Other
Comprehensive
Income (Loss)
(Note 9)
 Treasury Stock 
Linde plc
Shareholders’
Equity
 
Noncontrolling
Interests
 Total Equity
ActivityShares Amounts Shares Amounts 
Balance, December 31, 2016383,231
 $4
 $4,074
 $12,879
 $(4,600) 98,330
 $(7,336) $5,021
 $420
 $5,441
Net Income      1,247
       1,247
 59
 1,306
Other comprehensive income (loss)        502
     502
 34
 536
Noncontrolling interests:                   
Dividends and other capital reductions              
 (35) (35)
Additions (Reductions)    
         
 15
 15
Redemption value adjustments (Note 16)      (1)       (1)   (1)
Dividends ($3.15 per common share)      (901)       (901)   (901)
Issuances of common stock:                   
For the dividend reinvestment and stock purchase plan          (50) 7
 7
   7
For employee savings and incentive plans    (49)     (1,835) 134
 85
   85
Purchases of common stock          9
 (1) (1)   (1)
Share-based compensation    59
         59
   59
Balance, December 31, 2017383,231
 $4
 $4,084
 $13,224
 $(4,098) 96,454
 $(7,196) $6,018
 $493
 $6,511
Net Income      4,381
       4,381
 21
 4,402
Other comprehensive income (loss)        (265)     (265) 59
 (206)
Noncontrolling interests:                   
Dividends and other capital reductions              
 (49) (49)
Additions (Reductions)    (127)         (127) (186) (313)
Redemption value adjustments (Note 16)      (3)       (3)   (3)
Dividends ($3.30 per common share)      (1,166)       (1,166)   (1,166)

Linde plc Shareholders’ Equity  
Ordinary sharesAdditional
Paid-in
Capital
Retained
Earnings
Accumulated  Other
Comprehensive
Income (Loss)
(Note 7)
Treasury StockLinde plc
Shareholders’
Equity
Noncontrolling
Interests
Total Equity
ActivityActivitySharesAmountsSharesAmounts
Linde plc Shareholders’ Equity    
Ordinary shares 
Additional
Paid-in
Capital
 
Retained
Earnings
 
Accumulated  Other
Comprehensive
Income (Loss)
(Note 9)
 Treasury Stock 
Linde plc
Shareholders’
Equity
 
Noncontrolling
Interests
 Total Equity
ActivityShares Amounts Shares Amounts 
Balance, December 31, 2018Balance, December 31, 2018551,310 $$40,151 $16,529 $(4,456)4,069 $(629)$51,596 $5,484 $57,080 
Net Income available for Linde plc shareholdersNet Income available for Linde plc shareholders2,285 2,285 94 2,379 
Other comprehensive income (loss)Other comprehensive income (loss)(358)(358)(77)(435)
Noncontrolling interests:Noncontrolling interests:
Dividends and other capital reductionsDividends and other capital reductions— (132)(132)
Additions (Reductions) - (Note 14)Additions (Reductions) - (Note 14)— (2,921)(2,921)
Redemption value adjustmentsRedemption value adjustments(8)(8)(8)
Dividends ($3.50 per ordinary share)Dividends ($3.50 per ordinary share)(1,891)(1,891)(1,891)
Issuances of common stock:                   Issuances of common stock:
For the dividend reinvestment and stock purchase plan          (31) 5
 5
   5
For employee savings and incentive plans255
 
 (46)     (1,109) 79
 33
   33
For employee savings and incentive plans703 (45)(73)(770)127 
Purchases of common stock          4,079
 (630) (630)   (630)Purchases of common stock14,333 (2,654)(2,654)(2,654)
Share-based compensation    62
         62
   62
Share-based compensation9595 95 
Tax Act Reclassification (Note 7)      $93
 $(93)     $
   $
Impact of merger (Notes 3 and 16)167,824
 $(3) $36,178
     (95,324) $7,113
 $43,288
 $5,146
 $48,434
Balance, December 31, 2018551,310
 $1
 $40,151
 $16,529
 $(4,456) 4,069
 $(629) $51,596
 $5,484
 $57,080
Balance, December 31, 2019Balance, December 31, 2019552,013 40,201 16,842 (4,814)17,632 (3,156)49,074 2,448 51,522 
Net Income available for Linde plc shareholders      2,285
       2,285
 94
 2,379
Net Income available for Linde plc shareholders2,501 2,501 125 2,626 
Other comprehensive loss        (358)     (358) (77) (435)
Other comprehensive income (loss)Other comprehensive income (loss)124 124 33 157 
Noncontrolling interests:                   Noncontrolling interests:
Dividends and other capital reductions              
 (132) (132)Dividends and other capital reductions— (161)(161)
Additions (Reductions) - (Note 16)    
         
 (2,921) (2,921)
Redemption value adjustments (Note 16)      (8)       (8)   (8)
Dividends ($3.50 per common share)      (1,891)       (1,891)   (1,891)
Additions (Reductions) - (Note 14)Additions (Reductions) - (Note 14)— (193)(193)
Redemption value adjustmentsRedemption value adjustments17 17 17 
Dividends ($3.852 per ordinary share)Dividends ($3.852 per ordinary share)(2,028)(2,028)(2,028)
Issuances of ordinary shares:                   Issuances of ordinary shares:
For the dividend reinvestment and stock purchase plan          
 
 
   
For employee savings and incentive plansFor employee savings and incentive plans(132)(154)(1,208)233 (53)(53)
Purchases of ordinary sharesPurchases of ordinary shares12,294 (2,451)(2,451)(2,451)
Share-based compensationShare-based compensation133133133 
Balance, December 31, 2020Balance, December 31, 2020552,013 $$40,202 $17,178 $(4,690)28,718 $(5,374)$47,317 $2,252 $49,569 
Net Income available for Linde plc shareholdersNet Income available for Linde plc shareholders3,826 $3,826 135 $3,961 
Other comprehensive income (loss)Other comprehensive income (loss)(358)(358)— (358)
Noncontrolling interests:Noncontrolling interests:
Dividends and other capital reductionsDividends and other capital reductions— (118)(118)
Additions (Reductions) - (Note 14)Additions (Reductions) - (Note 14)— (876)(876)
Dividends ($4.24 per ordinary share)Dividends ($4.24 per ordinary share)(2,189)(2,189)(2,189)
Issuances of ordinary shares:Issuances of ordinary shares:
For employee savings and incentive plans703
 
 (45) (73)   (770) 127
 9
   9
For employee savings and incentive plans(150)(105)(1,026)209 (46)(46)
Purchases of ordinary shares          14,333
 (2,654) (2,654)   (2,654)Purchases of ordinary shares15,640 (4,643)(4,643)(4,643)
Share-based compensation    95
         95
   95
Share-based compensation128 128 128 
Balance, December 31, 2019552,013
 $1
 $40,201
 $16,842
 $(4,814) 17,632
 $(3,156) $49,074
 $2,448
 $51,522
Balance, December 31, 2021Balance, December 31, 2021552,013 $$40,180 $18,710 $(5,048)43,332 $(9,808)$44,035 $1,393 $45,428 
The accompanying Notes are an integral part of these financial statements

54


NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
LINDE PLC AND SUBSIDIARIES
NOTE 1. FORMATION OF LINDE PLC AND BUSINESS COMBINATION OF PRAXAIR, INC. AND LINDE AG
Formation of Linde plc

Linde plc ("Linde" or “the company”), a public limited company incorporated in Ireland, was formed in accordance with the requirements of the business combination agreement, dated as of June 1, 2017, as amended (the “business combination agreement”). Pursuant to the business combination agreement, among other things, Praxair, Inc., a Delaware corporation (“Praxair”), and Linde Aktiengesellschaft, a stock corporation incorporated under the laws of Germany (“Linde AG”), agreed to combine their respective businesses through an all-stock transaction, and become subsidiaries of the company (collectively referred to as “business combination” or “merger”). On October 31, 2018, Linde completed the business combination. Prior to the business combination, the company did not conduct any business activities other than those required for its formation and matters contemplated by the business combination agreement.
Business Combination of Praxair, Inc. and Linde AG
The business combination has been accounted for using the acquisition method of accounting in accordance with the provisions of the Financial Accounting Standards Board (“FASB”) Accounting Standards Codification ("ASC") 805, “Business Combinations”, with Praxair representing the accounting acquirer. Pursuant to Rule 12g-3(a) under the Exchange Act, as of October 31, 2018, the company became the successor issuer to Praxair. Also, the Linde shares are deemed to be registered under Section 12(b) of the Exchange Act, and the company is subject to the informational requirements of the Exchange Act and the rules and regulations promulgated thereunder. The Linde shares trade on the New York Stock Exchange ("NYSE") and the Frankfurt Stock Exchange under the ticker symbol “LIN”. Prior to the business combination, the Praxair shares were registered pursuant to Section 12(b) of the Exchange Act and listed on the NYSE. In connection with the completion of the business combination, the Praxair shares were suspended from trading on the NYSE as of close of business (New York Time) on October 30, 2018. On November 1, 2018, Praxair filed a Form 25 to de-list and de-register its three series of Euro-denominated notes, including its 1.50%Notes due 2020, 1.20% Notes due 2024 and 1.625% Notes due 2025, that were listed on the NYSE. Trading of the Euro-denominated notes on the NYSE was suspended as of close of business (New York Time) on November 9, 2018, and Praxair filed a Form 15 with the SEC terminating the registration under the Exchange Act of its securities and suspending Praxair’s reporting obligations under Section 15(d) of the Exchange Act.
In connection with the business combination, the company, Praxair and Linde AG entered into various agreements with regulatory authorities to satisfy anti-trust requirements to secure approval to consummate the business combination. These agreements included the sale of the majority of Praxair’s European businesses (completed on December 3, 2018), the majority of Linde AG’s Americas business (completed on March 1, 2019), select assets of Linde AG's South Korean industrial gases business (completed April 30, 2019), select assets of Praxair's Indian industrial gases business (completed July 12, 2019), select assets of Linde AG's Indian industrial gases business (completed December 16, 2019) as well as certain divestitures of other Praxair and Linde AG businesses in Asia that are currently expected to be sold in 2020 (collectively, the “merger-related divestitures”). See Note 4 for additional information relating to merger-related divestitures.
Additionally, to obtain merger approval in the United States Linde, Praxair and Linde AG entered into an agreement with the U.S. Federal Trade Commission ("FTC") dated October 1, 2018 (“hold separate order” or “HSO”). Under the HSO, the company, Praxair and Linde AG agreed to continue to operate Linde AG and Praxair as independent, ongoing, economically viable, competitive businesses held separate, distinct, and apart from each other’s operations; and not coordinate any aspect of their operations until certain divestitures in the United States were completed. Accordingly, Linde had accounted for Linde AG as a separate segment for 2018 reporting purposes effective with the merger date. Prior to the merger date, the company’s Linde AG segment did not exist. Since the FTC hold separate order restrictions were lifted effective March 1, 2019, the company subsequently implemented a new segment structure as follows: Americas, EMEA (Europe/Middle East/Africa), APAC (Asia/South Pacific) and Engineering. This new management organization structure was implemented during the first quarter 2019 and, accordingly, segment information has been retrospectively recast for all prior periods. Refer to Note 20 Segment Information for further details.

NOTE 2.1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
Linde plc ("Linde" or "the company") is an incorporated public limited company formed under the laws of Ireland. Linde’s registered office is located at Ten Earlsfort Terrace, Dublin 2, D02 T380 Ireland. Linde’s principal executive offices are located at The Priestley Centre, 10 Priestley Road, Surrey Research Park, Guildford, Surrey GU2 7XY, United Kingdom and 10 Riverview Drive, Danbury, Connecticut, United States. Linde trades on the New York Stock Exchange and on the Frankfurt Stock Exchange under the symbol LIN.
Principles of Consolidation The consolidated financial statements were prepared in conformity with accounting principles generally accepted in the United States of America (" U.S. GAAP") and include the accounts of all significant subsidiaries where control exists and, in limited situations, variable-interest entities where the company is the primary

beneficiary. Intercompany transactions and balances are eliminated in consolidation and any significant related-party transactions have been disclosed.
Equity investments generally consist of 20% to 50% owned operations where the company exercises significant influence, but does not have control. Equity incomeIncome from equity investments in corporations is reported on an after-tax basis. Pre-tax income from equity investments that are partnerships or limited-liability corporations ("LLC") is included in other income (expenses) – net with related taxes included in Income taxes. Equity investments are reviewed for impairment whenever events or circumstances reflect that an impairment loss may have been incurred.
Changes in ownership interest that result either in consolidation or deconsolidation of an investment are recorded at fair value through earnings, including the retained ownership interest, while changes that do not result in either consolidation or deconsolidation of a subsidiary are treated as equity transactions.
Use of Estimates The preparation of financial statements in conformity with U.S. GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and the disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. While actual results could differ, management believes such estimates to be reasonable.
Operations Linde is the largest industrial gases company globally. The company produces, sells and distributes atmospheric, process and specialty gases and high-performance surface coatings to a diverse group of industries including aerospace, chemicals, food and beverage, electronics, energy, healthcare, manufacturing, and metals. Linde’s Engineering business offers its customers an extensive range of gas production and processing services including supplingsupplying plant components and services directly to customers.
Revenue Recognition Effective January 1, 2018, Linde adopted the FASB's Accounting Standards Update No. 2014-09 ("ASC 606") relating to Revenue Recognition. Revenue is recognized as control of goods or services are transferred to customers in an amount that reflects the consideration to which an entity expects to be entitled to receive in exchange for the goods or services. See Note 2119 for additional details regarding Linde's revenue recognition policies. The adoption of ASC 606 resulted in no differences in revenue recognition compared to previous policies.
Cash Equivalents Cash equivalents are considered to be highly liquid securities with original maturities of three months or less.
Inventories Inventories are stated at the lower of cost or net realizable value. Cost is determined using the average-cost method.
Property, Plant and Equipment – Net Property, plant and equipment are carried at cost, net of accumulated depreciation. The company capitalizes labor, applicable overhead and interest as part of the cost of constructing major facilities (see Note 10).facilities. Expenditures for additions and improvements that extend the lives or increase the capacity of plant assets are also capitalized. Depreciation is calculated on the straight-line method based on the estimated useful lives of the assets, which range from 3 years to 40 years (see Note 10)8). Linde uses accelerated depreciation methods for tax purposes where appropriate. Maintenance of property, plant and equipment is generally expensed as incurred.
The company performs a test for impairment whenever events or changes in circumstances indicate that the carrying amount of an individual asset or asset group may not be recoverable. Should projected undiscounted future cash flows be less than the carrying amount of the asset or asset group, an impairment charge reducing the carrying amount to fair value is required. Fair value is determined based on the most appropriate valuation technique, including discounted cash flows.
Asset-Retirement Obligations – An asset-retirement obligation is recognized in the period in which sufficient information exists to determine the fair value of the liability with a corresponding increase to the carrying amount of the related property, plant and equipment which is then depreciated over its useful life. The liability is initially measured at discounted fair
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value and then accretion expense is recorded in each subsequent period. The company’s asset-retirement obligations are primarily associated with its on-site long-term supply arrangements where the company has built a facility on land leased from the customer and is obligated to remove the facility at the end of the contract term. The company's asset-retirement obligations are not material to its consolidated financial statements.
Foreign Currency Translation For most foreign operations, the local currency is the functional currency and translation gains and losses are reported as part of the accumulated other comprehensive income (loss) component of equity as a cumulative translation adjustment (see Note 9)7).
Financial Instruments Linde enters into various derivative financial instruments to manage its exposure to fluctuating interest rates, currency exchange rates, commodity pricing and energy costs. Such instruments primarily include interest-rate swap and treasury rate lock agreements; currency-swap agreements; forward contracts; currency options; and commodity-swap agreements. These instruments are not entered into for trading purposes. Linde only uses commonly traded and non-leveraged instruments.

There are three types of derivatives the company enters into: (i) those relating to fair-value exposures, (ii) those relating to cash-flow exposures, and (iii) those relating to foreign currency net investment exposures. Fair-value exposures relate to recognized assets or liabilities, and firm commitments; cash-flow exposures relate to the variability of future cash flows associated with recognized assets or liabilities, or forecasted transactions; and net investment exposures relate to the impact of foreign currency exchange rate changes on the carrying value of net assets denominated in foreign currencies.
When a derivative is executed and hedge accounting is appropriate, it is designated as either a fair-value hedge, cash-flow hedge, or a net investment hedge. Currently, Linde designates all interest-rate and treasury rate locks as hedges for accounting purposes; however, currency contracts are generally not designated as hedges for accounting purposes unless they are related to forecasted transactions. Whether designated as hedges for accounting purposes or not, all derivatives are linked to an appropriate underlying exposure. On an ongoing basis, the company assesses the hedge effectiveness of all derivatives designated as hedges for accounting purposes to determine if they continue to be highly effective in offsetting changes in fair values or cash flows of the underlying hedged items. If it is determined that the hedge is not highly effective, then hedge accounting will be discontinued prospectively.
Changes in the fair value of derivatives designated as fair-value hedges are recognized in earnings as an offset to the change in the fair values of the underlying exposures being hedged. The changes in fair value of derivatives that are designated as cash-flow hedges are deferred in accumulated other comprehensive income (loss) and are reclassified to earnings as the underlying hedged transaction affects earnings. Provided the hedge remains highly effective, any ineffectiveness is deferred in accumulated other comprehensive income (loss) and are reclassified to earnings as the underlying hedged transaction affects earnings. Hedges of net investments in foreign subsidiaries are recognized in the cumulative translation adjustment component of accumulated other comprehensive income (loss) on the consolidated balance sheets to offset translation gains and losses associated with the hedged net investment. Derivatives that are entered into for risk-management purposes and are not designated as hedges (primarily related to anticipated net income and currency derivatives other than for firm commitments) are recorded at their fair market values and recognized in current earnings.
See Note 1412 for additional information relating to financial instruments.
Goodwill Acquisitions are accounted for using the acquisition method which requires allocation of the purchase price to assets acquired and liabilities assumed based on estimated fair values. Any excess of the purchase price over the fair value of the assets and liabilities acquired is recorded as goodwill. Allocations of the purchase price are based on preliminary estimates and assumptions at the date of acquisition and are subject to revision based on final information received, including appraisals and other analyses which support underlying estimates.
The company performs a goodwill impairment test annually, during the fourth quarter, or more frequently if events or circumstances indicate that an impairment loss may have been incurred. During the fourth quarter of fiscal year 2019, the company changed the date of its annual goodwill impairment test from April 30 to October 1. The change was made to more closely align the impairment testing date with the company’s planning process.
The impairment test allows an entity to first assess qualitative factors to determine if it is more likely than not that the fair value of a reporting unit is less than carrying value. If it is determined that it is more likely than not that the fair value of a reporting unit is less than carrying value then the company will estimate and compare the fair value of its reporting units to their carrying value, including goodwill. Reporting units are determined based on one level below the operating segment level. In estimatingThe qualitative analysis of goodwill for the year ended December 31, 2021 showed the fair value of eachthe reporting unit, management applied a multiple of earnings from a peer group tounits substantially exceeded the company’s forecasted earnings for the year ending December 31, 2019.  The peer group is comprised of comparable entities with similar operations and economic characteristics.carrying value, as such further analysis was not performed. 
See Notes 3 and 11Note 9 for additional information relating to goodwill.
Other Intangible Assets Other intangible assets, primarily customer relationships, and brands/tradenames, are amortized over the estimated period of benefit. The determination of the estimated period of benefit will be dependent upon the use and underlying
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characteristics of the intangible asset. Linde evaluates the recoverability of its intangible assets subject to amortization when facts and circumstances indicate that the carrying value of the asset may not be recoverable. If the carrying value is not recoverable, impairment is measured as the amount by which the carrying value exceeds its estimated fair value. Fair value is generally estimated based on either appraised value or other valuation techniques. Indefinite lived intangible assets related to the Linde brand are evaluated for impairment on an annual basis or more frequently if events or circumstances indicate an impairment loss may have occurred.
See Notes 3 and 12Note 10 for additional information relating to other intangible assets.
Assets Held for Sale and Discontinued Operations Assets held for sale, as well as liabilities directly related to these assets, are classified separately in the consolidated balance sheets as held for sale if the requirements of the FASB’s Accounting Standards Codification (“ASC”) 360, Property, Plant and Equipment, are satisfied. The main requirements of

ASC 360 are: (i) management having the authority to approve the action has committed to a plan to sell the assets and an active program to locate a buyer has been initiated, (ii) the assets are available for sale in their present condition at a reasonable market price, and (iii) a sale within the next twelve months is probable. Assets classified as held for sale are measured at the lower of carrying amount and fair value less costs to sell. Amortization and depreciation has been discontinued. The process involved in determining the fair value less costs to sell involves estimates and assumptions that are subject to uncertainty.
Discontinued operations are reported as soon as a business is classified as held for sale, or has already been disposed of, and when the business to be disposed of represents a strategic shift that has (or will have) a major effect on the company’s operations and financial results. Businesses acquired with the intent of divesting are also required to be reported as discontinued operations. The profit/loss from discontinued operations is reported separately from the expenses and income from continuing operations in the consolidated statements of income. In the consolidated statement of cash flows, the cash flows from discontinued operations are shown separately from the cash flows from continuing operations. The information provided in the Notes relates to continuing operations. If the information relates exclusively to discontinued operations, this is highlighted accordingly.
See Note 4 for additional information relating to assets held for sale and discontinued operations.

Income Taxes Deferred income taxes are recorded for the temporary differences between the financial statement and tax bases of assets and liabilities using currently enacted tax rates. Valuation allowances are established against deferred tax assets whenever circumstances indicate that it is more likely than not that such assets will not be realized in future periods.
Under the guidance for accounting for uncertainty in income taxes, the company can recognize the benefit of an income tax position only if it is more likely than not (greater than 50%) that the tax position will be sustained upon tax examination, based solely on the technical merits of the tax position. Otherwise, no benefit can be recognized. The tax benefits recognized are measured based on the largest benefit that has a greater than 50% likelihood of being realized upon ultimate settlement. Additionally, the company accrues interest and related penalties, if applicable, on all tax exposures for which reserves have been established consistent with jurisdictional tax laws. Interest and penalties are classified as income tax expense in the financial statements.
See Note 75 for additional information relating to income taxes, including the U.S. Tax Cuts and Jobs Act enacted in December 2017.taxes.
Retirement Benefits – Most Linde employees participate in a form of defined benefit or contribution retirement plan, and additionally certain employees are eligible to participate in various post-employment health care and life insurance benefit plans. The cost of contribution plans is recognized in the year earned while the cost of other plans is recognized over the employees’ expected service period to the company, all in accordance with the applicable accounting standards. The funded status of the plans is recorded as an asset or liability in the consolidated balance sheets. Funding of retirement benefits varies and is in accordance with local laws and practices.
See Note 1816 for additional information relating to retirement programs.
Share-based Compensation The company has historically granted share-based awards which consist of stock options, restricted stock and performance-based stock. Share-based compensation expense is generally recognized on a straight-line basis over the stated vesting period. For stock awards granted to full-retirement-eligible employees, compensation expense is recognized over the period from the grant date to the date retirement eligibility is achieved. For performance-based awards, compensation expense is recognized only if it is probable that the performance condition will be achieved.
See Note 1715 for additional disclosures relating to share-based compensation.
Reclassifications – Certain prior years’ amounts have been reclassified to conform to the current year’s presentation.
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Segment Presentation Change - As a resultTable of the merger and effective with the lifting of the hold separate order in March 2019, new reportable segments were implemented. The new segments are: Americas, EMEA (Europe/Middle East/Africa), APAC (Asia/South Pacific); and Engineering. All periods presented were recast to conform to the new segment structure. See Note 20.Contents






Recently Issued Accounting Standards
Accounting Standards Implemented in 20192021


Leases – In February 2016, the FASB issued updated guidance on the accounting and financial statement presentation of leases. The new guidance requires lessees to recognize a right-of-use asset and lease liability for all leases, except those that meet certain scope exceptions, and requires expanded quantitative and qualitative disclosures. This guidance is effective beginning in 2019 and requires companies to transition using a modified retrospective approach. Linde has applied the practical expedient which allows prospective transition to the new lease accounting standard on January 1, 2019. The company elected the package of practical expedients relating to the reassessment of the lease portfolio pertaining to (i) whether expiring or existing contracts contain lease components, (ii) lease classification under ASC 842 and (iii) whether initial direct costs were capitalized under ASC 840. The company further implemented internal controls and key system functionality to enable the preparation of financial information on adoption.
The standard had an immaterial impact on our consolidated balance sheetsIncome Taxes - Simplifying the Accounting for Income Taxes and consolidated income statements. The most significant impact was- In December 2019, the recognition of right of use ("ROU") assets and lease liabilities for operating leases, whileFASB issued guidance which simplifies the accounting for finance leases remained substantially unchanged.income taxes by removing several exceptions in the current standard and adds guidance to reduce complexity in certain areas, such as requiring that an entity reflect the effect of an enacted change in tax laws or rates in the annual effective tax rate computation in the interim period that includes the enactment date, evaluating whether a step-up in tax basis of goodwill relates to a business combination or a separate transaction and allocating taxes to members of a consolidated group. The company recognized both right of use assetsnew standard is effective for fiscal years, and lease liabilities of $1.2 billion upon adoption.interim periods within those fiscal years, beginning after December 15, 2020, with early adoption permitted. The adoption of this standard did not materially impact the new lease accounting standard had nocompany's consolidated financial statements.
Reference Rate Reform - In March 2020 with amendments in 2021, the FASB issued guidance related to reference rate reform which provides practical expedients and exceptions for applying U.S. GAAP to contract modifications, hedging relationships and other transactions that the reference London Interbank Offered Rate (“LIBOR”) and other interbank offered rates. This update is applicable to our contracts and hedging relationships that reference LIBOR and other interbank offered rates. The amendments may be applied to impacted contracts and hedges prospectively through December 31, 2022. The application of this guidance did not materially impact on retained earnings (See Note 6).the company's consolidated financial statements.
Derivatives and Hedging

 - In August 2017, the FASB issued updated guidance on accounting for hedging activities. The new guidance simplifies hedge effectiveness documentation requirements, changes both the designation and measurement for qualifying hedging relationships and the presentation of hedge results. This guidance was effective for the company beginning in the first quarter of 2019. The adoption of the standard had an immaterial impact on the consolidated financial statements.

Accounting Standards to be Implemented
Credit Losses on Financial Instruments In June 2016, the FASB issued an update on the measurement of credit losses. The guidance introduces a new accounting model for expected credit losses on financial instruments, including trade receivables, based on estimates of current expected credit losses. This guidance will be effective for the company beginning in the first quarter 2020 and requires companies to apply the change in accounting on a prospective basis. The company is currently evaluating the impact this update will have on the consolidated financial statements and does not expect this guidance to have a material impact.
Simplifying the Test for Goodwill Impairment – In January 2017, the FASB issued updated guidance on the measurement of goodwill. The new guidance eliminates the requirement to calculate the implied fair value of goodwill to measure a goodwill impairment charge. The guidance will be effective for the company beginning in the first quarter 2020 with early adoption permitted. The company does not expect this guidance to have a material impact.
Fair Value Measurement Disclosures - In August 2018, the FASB issued guidance that modifies the disclosure requirements for fair value measurements. The guidance is effective in fiscal year 2020, with early adoption permitted. Certain amendments must be applied prospectively while other amendments must be applied retrospectively. The company is evaluating the impact this guidance will have on the disclosures in the notes to the consolidated financial statements.
Retirement Benefit Disclosures - In August 2018, the FASB issued guidance that modifies the disclosure requirements for employers that sponsor defined benefit pension or other postretirement benefit plans. The guidance is effective in fiscal year 2021, with early adoption permitted, and must be applied on a retrospective basis. The company is evaluating the impact this guidance will have on the disclosures in the notes to the consolidated financial statements.





NOTE 3. BUSINESS COMBINATION2. Business Combination and Divestitures
Merger of Praxair, Inc. and Linde AG

As described in Note 1, onOn October 31, 2018 Praxair and Linde AG combined their respective businesses through an all-stock transaction and became subsidiaries of the company.
In connection with the business combination, each share of common stock of Praxair par value $0.01 per share, (excluding any shares held in treasury immediately prior to the effective time of the merger, which were automatically canceled and retired for no consideration) was converted into one ordinary share, par value €0.001 per share, of Linde plc. Additionally, each tendered share of common stock of Linde AG was converted into 1.54 ordinary shares of Linde plc.
As provided in the business combination agreement, at the effective time of the business combination outstanding Praxair stock options and other equity awards were generally converted into stock options and equity awards on a 1:1 basis with respect to Linde shares. Outstanding Linde AG share-based compensation awards were either settled in cash (for the portion vested), or were converted into similar stock options and equity awards with respect to Linde shares (for the portion unvested), after giving effect to the 1.54 exchange ratio. See Notes 16 and 17 for additional information.
Allocation of Purchase Price

In accordance with the FASB’s ASC 805, "Business Combinations", Praxair was determined to be the accounting acquirer. As such, the company has applied the acquisition method of accounting with respect to the identifiable assets and liabilities of Linde AG, which have been measured at fair value as of the date of the business combination.
In accordance with the business combination agreement, Linde AG shareholders that accepted the exchange offer received Linde shares in exchange for Linde AG shares at an exchange ratio of 1.54 Linde shares for each Linde AG share. Because Praxair is the accounting acquirer, the fair value of the equity issued by Linde plc to Linde AG shareholders in the exchange transaction was determined by reference to the market price of Praxair shares. Accordingly, the purchase consideration below reflects the estimated fair value of the 92% of Linde AG shares tendered and Linde shares issued in exchange for those Linde AG shares, which is based on the final closing price of Praxair shares prior to the effective time of the merger on October 31, 2018 of $164.50 per share.
The purchase price and fair value of Linde AG’s net assets acquired as of the merger date on October 31, 2018 is presented as follows:
(in thousands, except value per share data, Linde AG exchange ratio, and purchase price)
Linde AG common stock tendered as of October 31, 2018 (i)170,875 Shares
Business combination agreement exchange ratio (ii)1.54 : 1
Linde plc ordinary shares issued in exchange for Linde AG263,148
Per share price of Praxair, Inc. common stock (iii)$164.50
Purchase price (millions of dollars)$43,288
(i)Number of Linde AG shares tendered in the 2017 Exchange Offer.
(ii)Exchange ratio for Linde AG shares as set forth in the business combination agreement.
(iii)Closing price of Praxair shares on the New York Stock Exchange prior to the effective time of the business combination on October 31, 2018.


In accordance with ASC 805, Linde AG's assets and liabilities were measured at fair value at October 31, 2018, primarily using Level 3 inputs except debt which was Level 1. Fair value represents management's best estimate of assumptions about future events and uncertainties, including significant judgments related to future cash flows (sales, costs, customer attrition rates, and contributory asset charges), discount rates, competitive trends, market comparables, and others. Inputs used were generally obtained from historical data supplemented by current and anticipated market conditions and growth rates.
For the year ended December 31, 2019, Linde made measurement period adjustments to reflect facts and circumstances in existence as of the effective date of the Merger. The more significant measurement period adjustments made reflect: the agreed upon sale price of Linde AG’s Korean business resulting in an increase to assets held for sale and corresponding decrease to goodwill of $344 million; an adjustment to the sale value of the Linde AG Americas businesses resulting in a decrease to assets held for sale and corresponding increase to goodwill of $211 million; refinement in the

valuation of other intangible assets resulting in an increase to intangible asset values and corresponding decrease to goodwill of $657 million; refinement in the valuation of property, plant and equipment resulting in a decrease to property, plant and equipment and corresponding increase to goodwill of $407 million; an increase to deferred income taxes with a corresponding increase to goodwill of $276 million; and an increase to the fair value of noncontrolling interest with a corresponding increase to goodwill of $222 million. The net impact of these and other less significant adjustments made during the twelve month period resulted in a net increase of $110 million to goodwill. The valuation process to determine the fair values is complete. The following table summarizes the final allocation of purchase price to the identifiable assets acquired and liabilities assumed by Linde, with the excess of the purchase price over the fair value of Linde AG’s net assets recorded as goodwill.
Millions of dollarsFair Value
Assets 
Cash and cash equivalents$1,360
Accounts receivable – net2,857
Inventories1,439
Assets held for sale5,375
Prepaid and other current assets1,251
Property, plant and equipment18,974
Equity investments1,521
Goodwill24,256
Other intangible assets16,250
Other long-term assets805
Total Assets Acquired$74,088
Less: Liabilities Assumed 
Accounts payable$3,360
Short-term debt1,177
Current portion of long-term debt1,864
Accrued taxes159
Liabilities of assets held for sale676
Other current liabilities3,058
Long-term debt6,295
Other long-term liabilities2,009
Deferred credits, including deferred income taxes6,834
Total Liabilities Assumed$25,432
Less: Redeemable noncontrolling interests92
Less: Noncontrolling interests5,276
Purchase Price (i)$43,288
(i)See above for the calculation of the purchase price.


Summary of Significant Fair Value Methods
The methods used to determine the fair value of significant identifiable assets and liabilities included in the allocation of purchase price are discussed below.
Inventories
Acquired inventory is comprised of finished goods, work in process and raw materials. The fair value of finished goods was calculated as the estimated selling price, adjusted for costs of the selling effort and a reasonable profit allowance relating to the selling effort. The fair value of work in process inventory was primarily calculated as the estimated selling price, adjusted for estimated costs to complete the manufacturing, estimated costs of the selling effort, as well as a reasonable profit

margin on the remaining manufacturing and selling effort. The fair value of raw materials and supplies was determined based on replacement cost which approximates historical carrying value. The fair value step-up of inventories is being recognized in “Cost of sales” as the inventory is sold.
Assets held for sale and Liabilities of assets held for sale
As described in Note 1, as a condition of the European Commission ("EC"), the U.S. Department of Justice ("DOJ"), and other governmental regulatory authorities approval of the merger, Linde plc, Praxair and Linde AG were required to divest various businesses in Europe, the Americas and Asia. The fair value of these businesses has been determined based on the estimated net selling prices or sales agreements. See Note 4 for further information on merger-related divestitures.
Property, Plant and Equipment
The fair value of property, plant and equipment was primarily calculated using replacement costs adjusted for the age and condition of the asset, and is summarized below:
Property, plant and equipment ("PP&E")(in millions)
Production plants$10,358
Storage tanks1,807
Transportation equipment and other543
Cylinders2,487
Buildings1,953
Land and improvements677
Construction in progress1,149
Fair value of PP&E$18,974

Identifiable Intangible Assets
The fair value of identifiable intangible assets is summarized below:
 Weighted Average Amortization Period (in years) 

(in millions)
Identifiable intangible assets   
 Customer relationships29 $12,550
 Linde brandIndefinite 1,868
 Brands/Tradenames28 845
 Other intangibles18 987
Fair value of identifiable intangible assets28 $16,250


The fair value for all other identifiable intangible assets is based on assumptions that market participants would use in pricing an asset, based on the most advantageous market for the asset (i.e., its highest and best use).
The fair value of the customer relationships intangible asset was valued using a multi-period excess earnings method, a form of the income approach, which incorporates the estimated future cash flows to be generated from Linde AG’s existing customer base. Excess earnings are the earnings remaining after deducting the market rates of return on the estimated values of contributory assets, including debt-free net working capital, tangible assets, and other identifiable intangible assets. The excess earnings are thereby calculated for each year of multi-year projection periods and discounted to present value.
Other intangibles primarily includes acquired technology. Linde brand, brands/tradenames and other intangibles were valued using the relief from royalty method under the income approach; this method estimates the cost savings generated by a company related to the ownership of an asset for which it would otherwise have had to pay royalties or license fees on revenues earned through the use of the asset and discounted to present value.

Pension and Other Postretirement Liabilities

Linde recognized a pretax net liability representing the unfunded portion of Linde AG’s defined-benefit pension and other postretirement benefit ("OPEB") plans. Refer to Note 18 for further information on pensions and OPEB arrangements.
Long-Term Debt
The fair value for long-term debt was primarily obtained from third party quotes, as the majority of the Linde AG bond portfolio is publicly traded.
Deferred Income Tax Assets and Liabilities
The deferred income tax assets and liabilities include the expected future federal, state and foreign tax consequences associated with temporary differences between the preliminary fair values of the assets acquired and liabilities assumed and the respective tax bases. Tax rates utilized in calculating deferred income taxes generally represent the enacted statutory tax rates at the effective date of the merger in the jurisdictions in which legal title of the underlying asset or liability resides.
Refer to Note 7 for further information related to income taxes.
Noncontrolling Interests
Noncontrolling interests include the fair value of noncontrolling interests of Linde AG, including approximately $3.2 billion relating to the 8% of Linde AG shares which were not tendered in the Exchange Offer and were the subject of a cash-merger squeeze-out. The company’s wholly-owned indirect subsidiary, Linde Intermediate Holding AG ("Linde Holding"), which directly owns the 92% of Linde AG shares acquired in the Exchange Offer, determined the adequate cash compensation to be paid to the 8% remaining Linde AG minority shareholders in exchange for the transfer of their Linde AG shares for each Linde AG share. The cash-merger squeeze-out was approved by the shareholders of Linde AG at an extraordinary shareholders meeting of Linde AG on December 12, 2018 and completed on April 8, 2019. The remaining noncontrolling interests relate to the fair value of historic noncontrolling interests of Linde AG and its subsidiaries.
Equity Investments
The fair value of equity investments was determined using a discounted cash flow approach.
Other Assets Acquired and Liabilities Assumed (excluding Goodwill)
Linde utilized the carrying values, net of allowances, to value accounts and notes receivable and accounts payable as well as other current assets and liabilities as it was determined that carrying values represented the fair value of those items at the merger date. 
Goodwill
The excess of the consideration for the merger over the preliminary fair value of net assets acquired was recorded as goodwill. The merger resulted in the recognition of $24,256 million of goodwill, which is not deductible for tax purposes. The goodwill balance is primarily attributed to the assembled workforce, expanded market opportunities and cost and other operating synergies anticipated upon the integration of the operations of Praxair and Linde AG.
Results of Linde AG Operations in 2018
The results of operations of Linde AG have been included in the company’s consolidated statements of income since the merger. The following table provides Linde AG “Sales” and “Income (loss) from continuing operations” included in the company's results for the period November 1 through December 31, 2018.
Millions of dollars
Linde AG Results of Operations
November 1, - December 31, 2018
Sales$2,873
Income (loss) from continuing operations*$(385)

* Includes net charges of $451 million related to the impacts of purchase accounting.
Unaudited Pro Forma Information - 2018 and 2017

Linde's unaudited pro forma results presented below were prepared pursuant to the requirements of ASC 805 and give effect to the merger as if it had been consummated on January 1, 2017. The pro forma results have been prepared for comparative purposes only, and do not necessarily represent what the revenue or results of operations would have been had the merger been completed on January 1, 2017. In addition, these results are not intended to be a projection of future operating results and do not reflect synergies that might be achieved.

The unaudited pro forma results include adjustments for the preliminary purchase accounting impact (including, but not limited to, depreciation and amortization associated with the acquired tangible and intangible assets, amortization of the fair value adjustment to investment in nonconsolidated affiliates, and reduction of interest expense related to the fair value adjustment to long-term debt along with the related tax and non-controlling interest impacts), the alignment of accounting policies, adjustments due to IFRS compliant reporting conversion to U.S. GAAP and the elimination of transactions between Praxair and Linde AG.
The unaudited pro forma results for all periods presented below exclude the results of operations of the Linde AG merger-related divestitures (See Note 4) as these divestitures are reflected as discontinued operations. The Praxair merger-related divestitures (See Note 4) are included in the results from continuing operations, including the results from Praxair's European business through the disposition date of December 3, 2018, in the unaudited pro forma results presented below, for all periods presented, as these divestitures do not qualify for discontinued operations.
The unaudited pro forma results are summarized below:
Millions of dollars2018 2017
Sales (a)$29,774
 $28,449
Income from continuing operations$4,739
 $871
(a) Includes sales from Praxair's merger-related divestitures of $1,625 million and $1,553 million for the years ended December 31, 2018 and 2017, respectively.

Significant nonrecurring amounts reflected in the pro forma results are as follows:

A $3,294 million gain ($2,923 million after tax) was recorded in the fourth quarter 2018 as a result of the divestiture of Praxair's European industrial gases business and is included in the December 31, 2018 pro forma income from continuing operations.

From January 1, 2017 through December 31, 2018, Praxair, Inc. and Linde AG collectively incurred pre-tax costs of $736 million ($680 million after tax) to prepare for and close the merger. These merger costs were reflected within the results of operations in the pro forma results as if they were incurred on January 1, 2017. Any costs incurred related to merger-related divestitures and integration and to prepare for the intended business separations were reflected in the pro forma results in the period in which they were incurred.
The company incurred pre-tax charges of $368 million ( $279 million after tax) and $10 million ($8 million after tax) in 2018 related to the fair value step‑up of inventories acquired and sold as well as a pension settlement due to the payout to certain participants as a result of change in control provisions within a U.S. nonqualified pension plan, respectively. The 2018 pro forma results were adjusted to exclude these charges. The pro forma results for 2017 were adjusted to include these charges, as well as charges incurred subsequent to December 31, 2018 but less than a year from the date of the merger of $13 million ($10 million after tax) related to the remaining fair value step-up of inventories to be sold and $51 million ($40 million after tax) related to an additional pension settlement within the U.S. nonqualified pension plan that occurred in the first quarter of 2019 upon payment. See Note 18 for further information relating to the U.S. nonqualified pension plan settlements.
2019 & 2018 Non-Merger Related Acquisitions
Non-merger related acquisitions of $225 million during the year ended December 31, 2019 and $25 million during the year ended December 31, 2018, largely in the Americas, are not material, individually or in the aggregate.
2017 Acquisitions
During the year ended December 31, 2017, Linde had acquisitions totaling $33 million, primarily acquisitions of packaged gas businesses and a carbon dioxide joint venture in North America.


NOTE 4. MERGER-RELATED DIVESTITURES, DISCONTINUED OPERATIONS AND NET ASSETS HELD FOR SALE
As described in Note 1, as a condition of the European Commission ("EC"), the U.S. Department of Justice ("DOJ"), and other governmental regulatory authorities approval of the merger, Linde plc, Praxair and Linde AG were required to divest the following businesses:
Praxair Merger-Related Divestitures - Primarily European Industrial Gases Business
As a condition of the EC regulatory approval of the merger transaction, Praxair agreed to sell the majority of its industrial gases business in Europe. The sale was completed on December 3, 2018.

The Società Italiana Acetilene e Derivati S.p.A. ("SIAD") Sale and Purchase Agreement dated December 5, 2017 whereby Praxair agreed, inter alia, to sell its 34% non-controlling participation in its Italian joint venture SIAD to its joint venture partner Flow Fin in exchange for Flow Fin’s 40% non-controlling participation in Praxair’s majority-owned Italian joint venture, Rivoira S.p.A., and cash payment of a net purchase price of €90 million ($102 million as of October 31, 2018) by Praxair to Flow Fin. This transaction was completed on October 31, 2018, and;

The Praxair Europe Sale and Purchase Agreement dated July 5, 2018 pursuant to which Praxair sold the majority of its European businesses to Taiyo Nippon Sanso Corporation for €5,000 million in cash consideration ($5,700 million at December 3, 2018), reduced by estimated normal closing adjustments of €86 million ($96 million). These transactions were completed on December 3, 2018.

In connection with these transactions, in 2018 the company recognized a net pre-tax gain of $3,294 million ($2,923 million after tax) in the consolidated statements of income and related to the EMEA segment.

The net carrying value of Praxair's European business assets and liabilities divested on December 3, 2018 is presented below:

Millions of dollarsCarrying Value
Assets 
Cash and cash equivalents$38
Accounts receivable – net311
Inventories67
Prepaid and other current assets22
Property, plant and equipment – net1,342
Equity investments234
Goodwill620
Other intangible assets – net115
Other long-term assets36
Total Assets Divested$2,785
Liabilities 
Accounts payable$215
Accrued taxes27
Other current liabilities111
Long-term debt2
Other long-term liabilities92
Deferred credits174
Total Liabilities Divested$621
Noncontrolling interests$200
Accumulated other comprehensive income (loss) 
Pension/OPEB funded status obligation, net of taxes(8)
Cumulative translation adjustment, net of taxes(318)
Net Assets Divested$2,290

Additionally, to satisfy regulatory requirements in other jurisdictions, Praxair agreed to sell certain operations in Chile, China, India and South Korea. The Chilean business was sold as part of the Linde AG Americas SPA (as defined below), the select Indian assets were sold in July 2019, and other sales are expected in 2020. Effective October 22, 2018, the date of final regulatory approvals, these businesses have been accounted for as assets held for sale on the consolidated balance sheets. These businesses were evaluated for discontinued operations accounting treatment under U.S. GAAP and it was determined that they did not meet the definition of a discontinued operation as these transactions did not represent a strategic shift with a major effect, after considering the impact of the merger.

The sale of the select Indian assets was completed on July 12, 2019 with a sale price of $218 million and resulted in a gain of $164 million recognized in "Net gain on sale of businesses" in the consolidated statements of income.

Linde AG Merger-Related Divestitures - Primarily Americas Industrial Gases Business
As a condition of the U.S. regulatory approval of the merger, Linde AG agreed to sell the majority of its industrial gases business in the Americas, as described below:

The Linde AG Americas Sales and Purchase Agreement, dated July 16, 2018, as and further amended on September 22, 2018, October 19, 2018, and February 20, 2019 whereby Linde AG and Praxair, Inc. entered into an agreement with a consortium comprising companies of the German industrial gases manufacturer Messer Group and CVC Capital Partners Fund VII to sell the majority ofLinde AG’s industrial gases business in North America and certain industrial gases business activities of Linde AG's in South America for $2.9 billion in cash consideration after purchase price adjustments for certain items relating to assets and liabilities of the sold businesses.In addition, divestitures include $0.5 billion of proceeds for incremental plant sales within the Americas under other agreements. These transactions were completed on March 1, 2019.


On April 30, 2019, Linde completed the sale of select assets of Linde South Korea with the sale price of $1.2 billion to IMM Private Equity Inc., to satisfy requirements of the Korea Fair Trade Commission. The assets divested include bulk and on-site business in Giheung, Pohang and SeosansitesSeosan sites as well as oxygen and nitrogen on-site generators. The sale price of $1.2 billion is subject to customary adjustments.

On December 16, 2019, Linde completed the sale of select assets of Linde India with a sale price of $193 million.

The net carrying valueIn March 2020, Linde completed the sale of select assets of Linde AG's Americas business assets and liabilities divested on March 1, 2019 is presented below:China with a sale price of $98 million.
Millions of dollars Carrying Value
Assets  
Cash and cash equivalents $200
Accounts receivable – net 479
Inventories 181
Prepaid and other current assets 409
Property, plant and equipment – net 1,590
Equity investments 37
Goodwill 3
Other intangible assets – net 10
Other long-term assets 76
Asset adjustments for estimated fair value 1,650
Total Assets Divested $4,635
Liabilities  
Accounts payable $94
Accrued taxes 60
Other current liabilities 767
Long-term debt 2
Other long-term liabilities 98
Deferred credits 177
Total Liabilities Divested $1,198
Cumulative translation adjustment, net of taxes 12
Net Assets Divested $3,449













The net carrying value of Linde AG's South Korean business assets and liabilities divested on April 30, 2019 is presented below:
Millions of dollars Carrying Value
Assets  
Accounts receivable – net $27
Inventories 16
Property, plant and equipment – net 389
Asset adjustments for estimated fair value 879
Total Assets Divested $1,311
Liabilities  
Accounts payable $2
Accrued taxes 12
Other current liabilities 29
Long-term debt 6
Other long-term liabilities 3
Deferred credits 31
Total Liabilities Divested $83
Net Assets Divested $1,228






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Discontinued Operations
Only the sales of the Linde AG merger-related divestitures meet the criteria for discontinued operations, Praxair merger-related divestitures do not qualify as discontinued operations. As such, operations related to the Linde AG merger-related divestitures are included within Income from discontinued operations, net of tax for periods subsequent to the merger, as summarized below:
Millions of dollars202120202019
Net sales$$$449 
Cost of sales251 
Other operating costs43 
Operating profit$$$155 
Income from equity investments
Income taxes— — 54 
Income from discontinued operations, net of tax$$$109 
Noncontrolling interests— — (7)
Income from continuing operations, net of tax and noncontrolling interests$$$102 
Millions of dollars2019November 1, - December 31, 2018
Net sales$449
$388
Cost of sales251
173
Other operating costs43
90
Operating profit$155
$125
Income from equity investments8
1
Income taxes54
9
Income from discontinued operations, net of tax$109
$117
Noncontrolling interests(7)(9)
Income from discontinued operations, net of tax and noncontrolling interests$102
$108


For the yearyears ended December 31, 20192021, 2020 and 20182019 there were no material amounts of capital expenditures or significant operating or investing non-cash items related to discontinued operations.

Net Assets HeldNon-Merger Related Acquisitions
Non-merger related acquisitions of $88 million, $68 million and $225 million for Sale

Net assets held for sale includes both the Linde AG merger-related divestitures that meet the criteria for discontinued operations and the Praxair merger-related divestitures that do not. As ofyears ended December 31, 2021, 2020 and 2019, respectively, were primarily related to the Americas and 2018,are not material, individually or in the following assets and liabilities are reportedaggregate.

Non-Merger Related Divestitures
Effective January 1, 2021, Linde deconsolidated a joint venture with operations in APAC, due to the expiration of certain contractual rights that the parties mutually agreed not to renew. From the effective date, the joint venture is reflected as componentsan equity investment on Linde's consolidated balance sheet with the corresponding results reflected in income from equity investments on the consolidated statement of income.
The fair value of the joint venture at January 1, 2021 was determined using a discounted cash flow model and approximated the carrying amount of its net assets. The net carrying value of $852 million was mainly comprised of assets held for saleof approximately $1.9 billion (primarily Other intangibles and Property plant and equipment - net), net of liabilities of approximately $1.0 billion. Upon deconsolidation an equity investment was recorded representing Linde's share of the joint venture's net assets. The deconsolidation resulted in a gain of $52 million recorded within cost reduction programs and other charges (see Note 3) related to the consolidatedrelease of the CTA balance sheets:recorded within AOCI. The company did not receive any consideration, cash or otherwise, as part of the deconsolidation.

  
Millions of dollarsDecember 31, 2019December 31, 2018
Assets  
Cash and cash equivalents$4
$182
Accounts receivable – net2
297
Inventories
209
Prepaid and other current assets
54
Property, plant and equipment – net1
2,005
Other Assets43
187
Asset adjustments for estimated fair value (Note 3)75
2,564
Total Assets Classified as Assets Held for Sale$125
$5,498
Liabilities  
Accounts payable2
125
Deferred credits
206
Other liabilities
437
Total Liabilities Classified as Assets Held for Sale2
768
Net Assets Classified as Held for Sale$123
$4,730


The joint venture contributed sales of approximately $600 million in 2020. Future earnings per share will not be affected as the ownership percent remains the same.

NOTE 5.3. COST REDUCTION PROGRAMS AND OTHER CHARGES
2019 Charges
Cost reduction programs and other charges were $273 million, $506 million, and $567 million for the year12 months ended December 31, 2021, 2020, and 2019, ($444 million, after-taxrespectively. After tax and noncontrolling interests). interests, charges were $279 million, $372 million, and $444 million for the same respective periods.
The following istables provide a summary of the pre-tax charges by reportable segment for the year
years ended December 31, 2019.2021, 2020, and 2019:
59

Year Ended December 31, 2019Year Ended December 31, 2021
(millions of dollars)Severance costs Other cost reduction charges Total cost reduction program related charges Transaction related and other charges Total(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesMerger related and other chargesTotal
Americas$36
 $20
 56
 34
 $90
Americas$$(6)$— 
EMEA105
 16
 121
 21
 142
EMEA204 33 237 238 
APAC40
 10
 50
 72
 122
APAC16 12 28 (50)(22)
Engineering1
 12
 13
 (9) 4
Engineering20 26 — 26 
Other22
 42
 64
 145
 209
Other15 26 41 (10)31 
Total$204
 $100
 $304
 $263
 $567
Total$259 $79 $338 $(65)$273 

Year Ended December 31, 2020
(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesMerger related and other chargesTotal
Americas$35 $24 59 13 $72 
EMEA131 21 152 155 
APAC12 
Engineering38 28 66 70 
Other87 18 105 92 197 
Total$298 $93 $391 $115 $506 

Year Ended December 31, 2019
(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesMerger related and other chargesTotal
Americas$36 $20 56 34 $90 
EMEA105 16 121 21 142 
APAC40 10 50 72 122 
Engineering12 13 (9)
Other22 42 64 145 209 
Total$204 $100 $304 $263 $567 

Cost Reduction Programs
TotalIn 2019, Linde initiated a cost reduction program, which represents charges of achieving synergies and cost efficiencies expected from the merger of Praxair and Linde AG (see Note 2). Total charges related chargesto the cost reduction programs were $338 million ($253 million, after tax), $391 million ($277 million, after tax and noncontrolling interests), and $304 million ($233 million, after tax) for the years ended December 31, 2021, 2020, and 2019, respectively.
Severance costs
During the year ended December 31, 2019 ($233 million after-tax).
Severance costs
Severance2021, severance costs of $204$259 million for the year ended December 31, 2019 arewere recorded for the elimination of approximately 2,000 positions. Severance costs of $298 million and $204 million for the years ended December 31, 2020 and December 31, 2019 were recorded for the elimination of approximately 3,100 and 2,400 positions, largely in EMEA, APAC, and the Americas,respectively. As of which approximately 1,500 have terminated employment at December 31, 2019. The2021, the majority of thesethe actions are anticipatedhave been taken, with the remaining actions planned to be completed within the next 12 months.
Other cost reduction charges
Other cost reduction charges ofwere $79 million, $93 million, and $100 million for the yearyears ended December 31, 2021, 2020, and 2019, arerespectively. These amounts primarily represent charges related to the execution of the company's
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synergistic actions including location consolidations and business rationalization projects, software and process harmonization, and associated non-recurring costs.


Transaction RelatedMerger-Related Costs and Other Charges
On October 31, 2018, Praxair and Linde AG combined under Linde plc, as contemplated by the business combination agreement (see Note 1). Linde incurred merger-relatedMerger-related costs and other charges which totaled $263were a benefit of $65 million ($26 million, after tax) and charges of $115 million ($95 million, after tax) and $263 million ($211 million, after tax and noncontrolling interests) for the yearyears ended December 31, 2019. 2021, 2020, and 2019, respectively. The 2021 pretax benefit was primarily due to a $52 million gain triggered by a joint venture deconsolidation in the APAC segment in the first quarter (see Note 2). After-tax charges also include the impact of the below items.
2021 after-tax charges include a net income tax charge of $56 million, primarily related to (i) $83 million of expense due to the revaluation of a net deferred tax liability resulting from a tax rate increase in the United Kingdom which was enacted in the second quarter, and (ii) a tax settlement benefit of $33 million. 2021 also includes an impairment charge of $35 million ($35 million, after tax) related to a joint venture in the APAC segment. The charge is shown within income from equity investments in the consolidated statements of income.
2019 includes other charges for an asset impairment related to a joint venture in APAC of approximately $73 million ($42 million, after tax and noncontrolling interests) resulting from an unfavorable arbitration ruling.
Cash Requirements
The totalTotal cash requirements of the cost reduction program and other charges incurred during the twelve months ended December 31, 20192021 are estimated to be approximately $460$259 million, of which $260$175 million was paid through December 31, 2019.2021. Remaining cash requirements are expected to be paid through 2023. Total cost reduction programs and other charges, net of payments in the consolidated statements of cash flows for the twelve months ended December 31, 20192021 and 2020 also reflectsreflect the impact of cash payments of liabilities, includedincluding merger-related tax liabilities, accrued as of December 31, 2018.2020 and 2019, respectively.

The following table summarizes the activities related to the company's cost reduction related charges for the twelve months ended December 31, 2019:
(millions of dollars)Severance costs Other cost reduction charges Total cost reduction program related charges Transaction related and other charges Total
2019 Cost Reduction Programs and Other Charges$204
 $100
 $304
 $263
 $567
Less: Cash payments(91) (57) (148) (112) (260)
Less: Non-cash charges
 (21) (21) (78) (99)
Foreign currency translation and other4
 (6) (2) (6) (8)
Balance, December 31, 2019$117
 $16
 $133
 $67
 $200


2018 Charges
Cost reduction programs and other charges were$309 million for the year ended December 31, 2018 ($306 million, after-taxduring 2020 and non-controlling interest).2021:
Transaction Related and Other Charges
(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesMerger related and other chargesTotal
Balance, December 31, 2019$117 $16 $133 $67 $200 
2020 Cost Reduction Programs and Other Charges298 93 391 115 506 
Less: Cash payments(156)(20)(176)(45)(221)
Less: Non-cash charges— (68)(68)(82)(150)
Foreign currency translation and other24 25 34 
Balance, December 31, 2020$283 $22 $305 $64 $369 
2021 Cost Reduction Programs and Other Charges259 79 338 (65)273 
Less: Cash payments(138)(15)(153)(22)(175)
Less: Non-cash charges— (41)(41)54 13 
Foreign currency translation and other(20)(7)(27)— (27)
Balance, December 31, 2021$384 $38 $422 $31 $453 
On October 31, 2018, Praxair and Linde AG combined under Linde plc, as contemplated by the business combination agreement (see Note 1). In connection with the business combination, Linde incurred transaction costs which totaled $236 million for the year ended December 31, 2018 ($236 million after-tax).
Also included in Cost Reduction Programs and Other Charges are other charges of $73 million for the year ended December 31, 2018 ($70 million after-tax) comprised of the following; (i) a $40 million charge ($40 million after-tax) related to an unfavorable development related to a supplier contract in China, (ii) restructuring charges of $21 million ($18 million after-tax) and (iii) a $12 million charge ($12 million after-tax) associated with the transition to hyper-inflationary accounting in Argentina.

2017 Charges
Transaction Related and Other Charges
In connection with the intended business combination, Linde incurred transaction costs which totaled $52 million for the year ended December 31, 2017 ($48 million after-tax).
Classification in the consolidated financial statements
The pre-tax charges for each year are shown within operating profit in a separate line item on the consolidated statements of income. In the consolidated balance sheets, reductions in assets are recorded against the carrying value of the related assets and unpaid amounts are recorded primarily as short-term liabilities.other current or long-term liabilities (see Note 7). On the consolidated statements of cash flows, the pre-tax impact of these charges, net of cash payments, is shown as an adjustment to reconcile net income to net cash provided by operating activities. In Note 20 -18 Segment Information, Linde excluded these charges from its management definition of segment operating profit; a reconciliation of segment operating profit to consolidated operating profit is shown within the segment operating profit table.




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NOTE 6.4. LEASES
In the normal course of its business, Linde enters into various leases as the lessee, primarily involving manufacturing and distribution equipment and office space. Linde determines whether a contract is or contains a lease at contract inception. Total lease and rental expenses related to operating lease right of use assets for the twelve months ended December 31, 20192021 and 2020 was $364$317 million, and $341 million respectively. Operating leases costs are included in selling, general and administrative expenses and cost of sales, exclusive of depreciation and amortization. The related assets and obligations are included in other long term assets and other current liabilities and other long term liabilities, respectively. Total lease and rental expenses related to finance lease right of use assets for the twelve months ended December 31, 20192021 and 2020 was $31$51 million and $44 million, respectively, and the costs are included in depreciation and amortization and interest. Related assets and obligations are included in property, plantother long term assets and equipment - netother current liabilities and debt,other long term liabilities, respectively. Linde includes renewal options that are reasonably certain to be exercised as part of the lease term. Operating and financing lease expenses above include short term and variable lease costs which are immaterial.

As most leases do not provide an implicit rate, Linde uses the applicable incremental borrowing rate at lease commencement to measure lease liabilities and right-of-use assets. Linde determines incremental borrowing rates through market sources.

The company has elected to apply the short-term lease exception for all underlying asset classes. Short-term leases are leases that, at the commencement date, have a lease term of twelve months or less and do not include a purchase option that the lessee is reasonably certain to exercise. Leases that meet the short-term lease definition are not recognized on the balance sheet, but rather expensed on a straight-line basis over the lease term.

Some leasing arrangements require variable payments that are dependent on usage, output, or may vary for other reasons, such as insurance. The company does not have material variable lease payments.

Gains and losses on sale and leaseback transactions were immaterial. Operating cash flows used for operating leases for the twelve months ended December 31, 2019 was $341 million.2021 and 2020 were $290 million and $317 million, respectively. Cash flows used for finance leases for the same period were immaterial.

Supplemental balance sheet information related to leases is as follows:
(Millions of dollars)December 31, 2021December 31, 2020
Operating Leases
Operating lease right-of-use assets$853 $935 
Other current liabilities215 237 
Other long-term liabilities618 669 
Total operating lease liabilities833 906 
Finance Leases
Finance lease right-of-use assets163 155 
Other current liabilities47 38 
Other long-term liabilities129 125 
Total finance lease liabilities$176 $163 
(Millions of dollars)December 31, 2019
Operating Leases
Operating lease right-of-use assets1,025
Other current liabilities260
Other long-term liabilities716
Total operating lease liabilities976
Finance Leases
Finance lease right-of-use assets140
Current portion of long-term debt32
Long Term debt117
Total finance lease liabilities149

Supplemental operating lease information:
December 31, 2021December 31, 2020
Weighted average lease term (years)99
Weighted average discount rate2.91 %2.83 %
December 31, 2019
Weighted average lease term (years)7
Weighted average discount rate2.97%



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Future operating and finance lease payments as of December 31, 20192021 are as follows (millions of dollars):

PeriodOperating LeasesFinancing Leases
2022$227 $54 
2023162 40 
2024116 29 
202584 20 
202661 11 
Thereafter281 67 
Total future undiscounted lease payments931 221 
Less imputed interest(98)(45)
Total reported lease liability$833 $176 
Period Operating Leases Financing Leases
2020 $275
 $38
2021 208
 31
2022 163
 27
2023 110
 18
2024 75
 10
Thereafter 251
 81
Total future undiscounted lease payments 1,082
 205
Less imputed interest (106) (56)
Total reported lease liability $976
 $149

Prior to the adoption of the new lease accounting standard, operating and finance lease commitments on an undiscounted basis were approximately $1.3 billion and $104 million, respectively, at December 31, 2018 under long-term non-cancelable leases. The amounts payable for operating leases were as follows:
(Millions of dollars) Operating Leases
2019 $305
2020 236
2021 186
2022 145
2023 102
Thereafter 326
Total $1,300


In limited instances Linde acts as a lessor, primarily for assets to provide industrial gas to specific customers. These leases are not significant to the consolidated balance sheets or consolidated statements of income.
NOTE 7.5. INCOME TAXES
The year ended December 31, 2019 reflects a full year of Linde plc; the year ended December 31, 2018 reflects Praxair for the entire year and Linde AG for the period beginning October 31, 2018 (the merger date), including the impacts of purchase accounting. The amounts for historical periods prior to 2018 solely reflect the results of Praxair. (See Notes 1 and 3.)
Pre-tax income applicable to U.S. and foreignnon-U.S. operations is as follows: 
(Millions of dollars)
Year Ended December 31,
202120202019
United States$2,020 $1,253 $1,161 
Non-U.S.3,079 2,131 1,766 
Total income before income taxes$5,099 $3,384 $2,927 
(Millions of dollars)
Year Ended December 31,
2019 2018 2017
United States$1,161
 $931
 $1,003
Foreign (a)1,766
 4,118
 1,284
Total income before income taxes$2,927
 $5,049
 $2,287

(a) 2019 includes a $164 million gain related to the Indian divestiture and 2018 includes a $3,294 million gain related to Europe divestiture (See Note 4).    

Provision for Income Taxes
The following is an analysis of the provision for income taxes: 

(Millions of dollars)
Year Ended December 31,
202120202019(a)
Current tax expense (benefit)
U.S. federal$287 $185 $64 
State and local87 17 39 
Non-U.S.1,142 1,013 969 
1,516 1,215 1,072 
Deferred tax expense (benefit)
U.S. federal63 20 85 
State and local— 
Non-U.S.(325)(395)(388)
(254)(368)(303)
Total income taxes$1,262 $847 $769 
(Millions of dollars)
Year Ended December 31,
2019 (a) 2018 (b) 2017 (c)
Current tax expense (benefit)     
U.S. federal$64
 $390
 $565
State and local39
 (7) 84
Foreign969
 620
 374
 1,072
 1,003
 1,023
Deferred tax expense (benefit)     
U.S. federal85
 8
 (221)
State and local
 15
 19
Foreign(388) (209) 205
 (303) (186) 3
Total income taxes$769
 $817
 $1,026
(a)2019 includes $70 million related to divestitures, non-U.S. current tax expense of $48 million and non-U.S. deferred tax expense of $22 million.

(a)
2019 includes $70 million related to divestitures, foreign current tax expense of $48 million and foreign deferred tax expense of $22 million
(b)2018 includes a benefit of $61 million related to the Tax Act (See below) and a charge of $371 million ($252 million U.S., $4 million state, $114 million foreign current tax expense and $1 million of U.S. deferred income tax expense) related to divestitures (See Note 4).
(c)2017 includes a charge of $394 million related to the Tax Act (See below).
U.S. Tax Cuts and Jobs Act (Tax Act) 2018
As of December 31, 2021 and 2017
On December 22, 20172020, the U.S. government enacted the Tax Cuts and Jobs Act ("Tax Act"). This comprehensive tax legislation significantly revised the U.S. corporate income tax rules by, among other things, lowering the corporate income tax rate from 35% to 21%, implementing a territorial tax system and imposing a one-time tax on accumulated earnings of foreign subsidiaries. The company recorded a net provisional income tax charge of $394 million comprising (i) an estimated $467 million U.S. Federal and state tax charge for deemed repatriation of accumulated foreign earnings; (ii) an estimated $260 million charge for foreign withholding taxespayable related to anticipated future repatriation of foreign earnings; and (iii) an estimated $333 million deferred tax benefit for the revaluation of net deferred tax liabilities from 35% to the new 21% tax rate. The $467 million U.S. federal and state tax charge for deemed repatriation of accumulated foreign earnings includes $422 million of deemed repatriation tax payable over eight years.
In the fourth quarter of 2018, the company completed its accounting and updated its provisional estimates in accordance with SAB 118 resulting in a net reduction to tax expense of $61 million, $41 million U.S. federal and $20 million of state income tax (net of federal tax benefit). This resulted in a deemed repatriation tax payable of $261is $178 million and $291$230 million, and is payable over the remaining six and seven years, respectively, of which $235$178 million and $265$204 million is classified as of December 31, 2019 and December 31, 2018 as other long-term liabilities on the consolidated balance sheetssheet (See Note 9).
Further, the Tax Act enacted new provisions related to the taxation of foreign earnings, known as GILTI.7), respectively. The company has elected as an accounting policyis required to account for GILTI as period costs when incurred.fund the balance in annual installments through 2025.
Additionally, in the fourth quarter
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Table of 2018 the company adopted Accounting Standards Update 2018-02, "Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income", electing to reclassify the income tax effects of the Tax Act from Accumulated Other Comprehensive Income ("AOCI") to retained earnings. This resulted in a net reduction to AOCI and a net increase to retained earnings of $93 million, $98 million directly related to the federal income tax rate change reduced by $5 million indirectly related to the federal tax rate change on state income taxes.Contents
Effective Tax Rate Reconciliation
For purposes of the effective tax rate reconciliation, the company utilizedutilizes the U.S. statutory income tax rate of 21% in 2019 and 2018 and 35% in 2017.. An analysis of the difference between the provision for income taxes and the amount computed by applying the U.S. statutory income tax rate to pre-tax income follows:      

(Dollar amounts in millions)
Year Ended December 31,
202120202019
U.S. statutory income tax$1,071 21.0 %$711 21.0 %$615 21.0 %
State and local taxes – net of federal benefit83 1.6 %21 0.6 %31 1.1 %
U.S. tax credits and deductions (a)(23)(0.5)%(8)(0.2)%(31)(1.1)%
Non-U.S. tax differentials (b) (c)219 4.3 %167 4.9 %113 3.9 %
Share-Based compensation(56)(1.1)%(53)(1.6)%(41)(1.4)%
Divestitures— — %— — %36 1.2 %
Other – net (d)(32)(0.6)%0.3 %46 1.6 %
Provision for income taxes$1,262 24.7 %$847 25.0 %$769 26.3 %
(Dollar amounts in millions)
Year Ended December 31,
2019 2018 2017
U.S. statutory income tax$615
 21.0 % $1,060
 21.0 % $801
 35.0 %
State and local taxes – net of federal benefit31
 1.1 % 30
 0.6 % 32
 1.4 %
U.S. tax credits and deductions (a)(31) (1.1)% (12) (0.2)% (27) (1.2)%
Foreign tax differentials (b)113
 3.9 % 57
 1.1 % (145) (6.3)%
Share-Based compensation(41) (1.4)% (22) (0.4)% (35) (1.5)%
Tax Act
  % (61) (1.2)% 394
 17.2 %
Divestitures (c)36
 1.2 % (321) (6.4)% 
  %
Other – net (d)46
 1.6 % 86
 1.7 % 6
 0.3 %
Provision for income taxes$769
 26.3 % $817
 16.2 % $1,026
 44.9 %
________________________
(a)U.S. tax credits and deductions relate to foreign derived intangible income in 2019 and 2018, the research and experimentation tax credit in 2019, 2018 and 2017 and manufacturing deduction in 2017.
(b)Primarily related to differences between the U.S. tax rate (21% in 2019 and 2018 and 35% in 2017) and the statutory tax rate in the countries where the company operates. Other permanent items and tax rate changes were not significant.
(c)Divestitures primarily relate to the sale of the company’s Indian business in 2019 and European business in 2018 (See Note 4).
(d)Other - net includes $26 million and $34 million of U.S tax related to GILTI in 2019 and 2018, respectively and an increase in unrecognized tax benefits in Europe of $44 million in 2018.
(a)U.S. tax credits and deductions relate to non-U.S. derived intangible income and the research and experimentation tax credit in 2021, 2020 and 2019.
(b)Primarily related to differences between the U.S. tax rate and the statutory tax rate in the countries where the company operates. Excluding (c), other permanent items and tax rate changes were not significant.
(c)2021 includes an $83 million deferred income tax charge related to a tax rate increase in the United Kingdom.
(d)Other - net includes $8 million, $11 million and $26 million of U.S tax related to Global Intangible Low-Taxed Income in 2021, 2020 and 2019, respectively and a decrease in unrecognized tax benefits and accrued interest and penalties of $47 million in 2021.

Net Deferred Tax Liabilities
Net deferred tax liabilities included in the consolidated balance sheets are comprised of the following: 
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(Millions of dollars)
December 31,
2019 2018
(Millions of dollars)
December 31,
20212020
Deferred tax liabilities   Deferred tax liabilities
Fixed assets$3,539
 $3,935
Fixed assets$3,177 $3,430 
Goodwill145
 124
Goodwill166 173 
Other intangible assets3,688
 3,684
Other intangible assets (a)Other intangible assets (a)3,263 3,703 
Subsidiary/equity investments664
 570
Subsidiary/equity investments586 609 
Other (a)789
 648
Other (b)Other (b)634 791 
$8,825
 $8,961
$7,826 $8,706 
Deferred tax assets   Deferred tax assets
Carryforwards$441
 $526
Carryforwards$358 $386 
Benefit plans and related (b)721
 575
Benefit plans and related (c)Benefit plans and related (c)607 814 
Inventory72
 63
Inventory57 70 
Accruals and other (c)1,167
 1,112
Accruals and other (d)Accruals and other (d)1,042 1,243 
$2,401
 $2,276
$2,064 $2,513 
Less: Valuation allowances (d)(222) (237)
Less: Valuation allowances (e)Less: Valuation allowances (e)(235)(243)
$2,179
 $2,039
$1,829 $2,270 
Net deferred tax liabilities$6,646
 $6,922
Net deferred tax liabilities$5,997 $6,436 
Recorded in the consolidated balance sheets as (Note 9):   
Recorded in the consolidated balance sheets as (Note 7):Recorded in the consolidated balance sheets as (Note 7):
Other long-term assets243
 510
Other long-term assets242 268 
Deferred credits6,889
 7,432
Deferred credits6,239 6,704 
$6,646
 $6,922
$5,997 $6,436 
________________________
(a)Includes $255 million in 2019 related to right-of-use lease assets.
(b)Includes deferred taxes of $446 million and $292 million in 2019 and 2018, respectively, related to pension / OPEB funded status (See Notes 9 and 18).
(c)Includes $255 million related to lease liabilities in 2019 and $81 million and $104 million in 2019 and 2018, respectively, related to research and development costs.
(d)Summary of valuation allowances relating to deferred tax assets follows (millions of dollars):
(a)Excludes $230 million of Intangibles in 2021 due to the effects of the deconsolidation of a joint venture with operations in APAC (See Note 2).
  2019 2018 2017
 Balance, January 1,$(237) $(76) $(132)
 Income tax (charge) benefit (i)(31) (51) 59
 Merger with Linde AG18
 (121) 
 Other, including write-offs (ii)26
 7
 
 Translation adjustments2
 4
 (3)
 Balance, December 31,$(222) $(237) $(76)
(b)Includes $236 million in 2021 and $255 million in 2020 related to right-of-use lease assets.
(c)Includes deferred taxes of $305 million and $560 million in 2021 and 2020, respectively, related to pension / OPEB funded status (See Notes 7 and 16).
(d)Includes $246 million in 2021 and $255 million in 2020 related to lease liabilities and $42 million and $63 million in 2021 and 2020, respectively, related to research and development costs.
(e)Summary of changes in valuation allowances relating to deferred tax assets follows (millions of dollars):
202120202019
Balance, January 1,$(243)$(222)$(237)
Income tax (charge) benefit(21)(31)
Merger with Linde AG— — 18 
Other, including write-offs (i)— 26 
Translation adjustments— (2)
Balance, December 31,$(235)$(243)$(222)
(i)2019 includes $26 million related to the squeeze out of Linde AG (See Note 14).

(i)2017 includes a $59 million benefit related to the utilization of foreign tax credits under the Tax Act.
(ii)2019 includes $26 million related to the squeeze out of Linde AG (See Note 3).

The company evaluates deferred tax assets quarterly to ensure that estimated future taxable income will be sufficient in character (e.g., capital gain versus ordinary income treatment), amount and timing to result in their recovery. After considering the positive and negative evidence, a valuation allowance is established to reduce the assets to their realizable value when management determines that it is more likely than not (i.e., greater than 50% likelihood) that a deferred tax asset will not be realized. Considerable judgment is required in establishing deferred tax valuation allowances.
At
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As of December 31, 2019,2021, the company had $441$358 million of deferred tax assets relating to net operating losses (“NOLs”) and tax credits and $222$235 million of valuation allowances. These deferred tax assets include $312$266 million relating to NOLs of which $55$84 million expire within 5 years, $115$53 million expire after 5 years and $142$129 million have no expiration. The deferred tax assets also include $129$92 million related to credits of which $6$5 million expire within 5 years, $113$83 million expire after 5 years, and $10$4 million have no expiration. The valuation allowances of $222$235 million primarily relate to NOLs and are required because management has determined, based on financial projections and available tax strategies, that it is unlikely that the NOLs will be utilized before they expire. If events or circumstances change, valuation allowances are adjusted at that time resulting in an income tax benefit or charge.
The company has $664$586 million of foreignnon-U.S. income taxes accrued related to its investments in subsidiaries and equity investments as of December 31, 2019.2021. A provision has not been made for any additional foreignnon-U.S. income tax at December 31, 20192021 on approximately $31$32 billion related to its investments in subsidiaries because the company intends to remain indefinitely reinvested. While the $31$32 billion could become subject to additional foreignnon-U.S. income tax if there is a sale of a subsidiary, or earnings are remitted as dividends, it is not practicable to estimate the unrecognized deferred tax liability.
Uncertain Tax Positions
Unrecognized income tax benefits represent income tax positions taken on income tax returns but not yet recognized in the consolidated financial statements. The company has unrecognized income tax benefits totaling $472$387 million, $319$452 million and $54$472 million as of December 31, 2019, 20182021, 2020 and 2017,2019, respectively. If recognized, essentially all of the unrecognized tax benefits and related interest and penalties would be recorded as a benefit to income tax expense on the consolidated statements of income.
A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows: 

(Millions of dollars)202120202019
Unrecognized income tax benefits, January 1$452 $472 $319 
Additions for tax positions of prior years (a)11 35 151 
Reductions for tax positions of prior years(11)(34)(3)
Additions for current year tax positions19 11 33 
Reductions for settlements with taxing authorities (b)(60)(39)(26)
Foreign currency translation and other(24)(2)
Unrecognized income tax benefits, December 31$387 $452 $472 
(Millions of dollars)2019 2018 2017
Unrecognized income tax benefits, January 1$319
 $54
 $56
Additions for tax positions of prior years (a)151
 104
 48
Reductions for tax positions of prior years(3) (7) (26)
Additions for current year tax positions (b)33
 179
 
Reductions for settlements with taxing authorities (c)(26) (3) (26)
Foreign currency translation and other(2) (8) 2
Unrecognized income tax benefits, December 31$472
 $319
 $54
________________________
(a)Increase primarily relates to tax positions in the United States and Europe, $66 million in 2019 related to the merger with Linde AG.
(b)2018 includes $167 million related to the merger with Linde AG.
(c)Settlements are uncertain tax positions that were effectively settled with the taxing authorities, including positions where the company has agreed to amend its tax returns to eliminate the uncertainty.
(a)Increase primarily relates to tax positions in the United States and Europe, $66 million in 2019 related to the merger with Linde AG.
(b)Settlements are uncertain tax positions that were effectively settled with the taxing authorities, including positions where the company has agreed to amend its tax returns to eliminate the uncertainty.
The company classifies interest income and expense related to income taxes as tax expense in the consolidated statements of income. The company recognized net interest benefit of $15 million, and expense of $1 million, $32$29 million and $8$1 million for the years ended December 31, 2019,2021, December 31, 20182020 and December 31, 2017,2019, respectively. The company had $65$40 million and $48$99 million of accrued interest and penalties as of December 31, 20192021 and December 31, 2018,2020, respectively which were recorded in other long-term liabilities in the consolidated balance sheets (See Note 9)7).

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As of December 31, 2019,2021, the company remained subject to examination in the following major tax jurisdictions for the tax years as indicated below: 
Major tax jurisdictionsOpen Years
North and South America
United States20162017 through 20192021
Canada20122014 through 20192021
Mexico20132014 through 20192021
Brazil20052003 through 20192021
Europe and Africa
France2014 through 20192021
Germany20152016 through 20192021
Netherlands2015 through 2019
Republic of South Africa20152018 through 20192021
Spain20062010 through 20192021
United Kingdom20152016 through 20192021
Asia and Australia
Australia20142017 through 20192021
China20142016 through 20192021
India2006 through 20192021
South Korea20142016 through 2019
Taiwan2015 through 20192021

The company is currently under audit in a number of jurisdictions. As a result, it is reasonably possible that some of these matters will conclude or reach the stage where a change in unrecognized income tax benefits may occur within the next twelve months. At the time new information becomes available, the company will record any adjustment to income tax expense as required. Final determinations, if any, are not expected to be material to the consolidated financial statements. The company is also subject to income taxes in many hundreds of state and local taxing jurisdictions that are open to tax examinations.


NOTE 8.6. EARNINGS PER SHARE – LINDE PLC SHAREHOLDERS
Basic and Diluted earnings per share - Linde plc shareholders is computed by dividing Income From Continuing Operations,from continuing operations, Income Fromfrom discontinued operations, net of tax, and Net income – Linde plc for the period by the weighted average number of either basic or diluted shares outstanding, as follows: 
 2019 2018 2017
Numerator (Millions of dollars)     
Income From Continuing Operations$2,183
 $4,273
 $1,247
Income from discontinued operations, net of tax102
 108
 
Net Income – Linde plc$2,285
 $4,381
 $1,247
Denominator (Thousands of shares)     
Weighted average shares outstanding540,859
 330,088
 285,893
Shares earned and issuable under compensation plans235
 313
 368
Weighted average shares used in basic earnings per share *541,094
 330,401
 286,261
Effect of dilutive securities     
Stock options and awards4,076
 3,726
 2,853
Weighted average shares used in diluted earnings per share *545,170
 334,127
 289,114
Basic earnings per share from continuing operations$4.03
 $12.93
 $4.36
Basic earnings per share from discontinued operations$0.19
 $0.33
 $
Basic Earnings Per Share$4.22
 $13.26
 $4.36
Diluted earnings per share from continuing operations$4.00
 $12.79
 $4.32
Diluted earnings per share from discontinued operations$0.19
 $0.32
 $
Diluted Earnings Per Share$4.19
 $13.11
 $4.32
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Table of Contents
* As a result of the merger, share amounts for the year ended December 31, 2018 reflect a weighted average effect of Praxair shares outstanding prior to October 31, 2018 and Linde plc shares outstanding on and after October 31, 2018.    
202120202019
Numerator (Millions of dollars)
Income from continuing operations$3,821 $2,497 $2,183 
Income from discontinued operations, net of tax102 
Net Income – Linde plc$3,826 $2,501 $2,285 
Denominator (Thousands of shares)
Weighted average shares outstanding516,507 526,404 540,859 
Shares earned and issuable under compensation plans389 332 235 
Weighted average shares used in basic earnings per share516,896 526,736 541,094 
Effect of dilutive securities
Stock options and awards4,979 4,421 4,076 
Weighted average shares used in diluted earnings per share521,875 531,157 545,170 
Basic earnings per share from continuing operations$7.39 $4.74 $4.03 
Basic earnings per share from discontinued operations0.01 0.01 0.19 
Basic Earnings Per Share$7.40 $4.75 $4.22 
Diluted earnings per share from continuing operations$7.32 $4.70 $4.00 
Diluted earnings per share from discontinued operations0.01 0.01 0.19 
Diluted Earnings Per Share$7.33 $4.71 $4.19 
There were 0no antidilutive shares for the years ended December 31, 2019, 20182021, 2020 or 2017.2019.

NOTE 9.7. SUPPLEMENTAL INFORMATION
The year ended December 31, 2018 reflects Praxair for the entire year and the Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting. The amounts for historical periods prior to 2018 solely reflect the results of Praxair. See Notes 1 and 3.
Income Statement
(Millions of dollars)
Year Ended December 31,
202120202019
Selling, General and Administrative
Selling$1,342 $1,303 $1,600 
General and administrative1,847 1,890 1,857 
$3,189 $3,193 $3,457 
(Millions of dollars)
Year Ended December 31,
2019 2018 2017
Selling, General and Administrative     
Selling$1,600
 $757
 $511
General and administrative1,857
 872
 696
 $3,457
 $1,629
 $1,207
Year Ended December 31,202120202019
Depreciation and Amortization (a)
Depreciation$3,912 $3,861 $3,940 
Amortization of intangibles (Note 10)723 765 735 
Depreciation and Amortization$4,635 $4,626 $4,675 


Year Ended December 31,2019 2018 2017
Depreciation and Amortization (a)     
Depreciation$3,940
 $1,615
 $1,093
Amortization of intangibles (Note 12)735
 215
 91
Depreciation and Amortization$4,675
 $1,830
 $1,184
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Table of Contents
Year Ended December 31,202120202019
Other Income (Expenses) – Net
Currency related net gains (losses)$(29)$(28)$(11)
Partnership income13 10 
Severance expense(5)(5)(7)
Asset divestiture gains (losses) – net(31)(78)10 
Other – net26 40 68 
$(26)$(61)$68 

Year Ended December 31,
202120202019
Interest Expense – Net
Interest incurred on debt and other$227 $277 $284 
Interest income(40)(55)(112)
Amortization on acquired debt(53)(85)(96)
Interest capitalized(57)(38)(38)
Bond redemption (b)— 16 — 
$77 $115 $38 

Year Ended December 31,
202120202019
Income Attributable to Noncontrolling Interests
Noncontrolling interests' operations (c)$135 $125 $87 
Redeemable noncontrolling interests' operations (Note 14)— — 
Noncontrolling interests from continuing operations$135 $125 $89 
Noncontrolling interests from discontinued operations— $— $
Balance Sheet
(Millions of dollars)
December 31,
20212020
Accounts Receivable
Trade and Other receivables$4,904 $4,638 
Less: allowance for expected credit losses(405)(471)
$4,499 $4,167 
Receivables
Linde applies loss rates that are lifetime expected credit losses at initial recognition of the receivables. These expected loss rates are based on an analysis of the actual historical default rates for each business, taking regional circumstances into account. If necessary, these historical default rates are adjusted to reflect the impact of current changes in the macroeconomic environment using forward-looking information. The loss rates are also evaluated based on the expectations of the responsible management team regarding the collectability of the receivables. Gross trade receivables aged less than one year were $4,425 million and $4,169 million at December 31, 2021 and December 31, 2020, respectively, and gross receivables aged greater than one year were $329 million and $358 million at December 31, 2021 and December 31, 2020, respectively. Gross other receivables were $150 million and $111 million at December 31, 2021 and December 31, 2020, respectively. Receivables aged greater than one year are generally fully reserved unless specific circumstances warrant exceptions, such as those backed by federal governments.
Provisions for expected credit losses were $129 million, $182 million and $170 million for the twelve months ended December 31, 2021, 2020 and 2019, respectively. The allowance activity in the twelve months ended December 31, 2021 related to write-offs of uncollectible amounts, net of recoveries and currency movements is not material.

Year Ended December 31,2019 2018 2017
Other Income (Expenses) – Net     
Currency related net gains (losses)$(11) $4
 $(3)
Partnership income8
 8
 6
Severance expense(7) (7) (6)
Asset divestiture gains (losses) – net10
 6
 4
Other – net68
 7
 3
 $68
 $18
 $4
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December 31,
20212020
Inventories
Raw materials and supplies$399 $411 
Work in process334 337 
Finished goods1,000 981 
$1,733 $1,729 
December 31,20212020
Prepaid and Other Current Assets
Prepaid and other deferred charges (d)$527 $516 
VAT recoverable196 261 
Unrealized gains on derivatives (Note 12)101 110 
Assets held for sale (Note 2)— 
Other146 221 
$970 $1,112 
December 31,20212020
Other Long-term Assets
Pension assets (Note 16)$139 $55 
Insurance contracts (e)46 61 
Long-term receivables, net (f)105 201 
Lease assets (Note 4)1,016 1,090 
Deposits43 47 
Investments carried at cost18 23 
Deferred charges62 96 
Deferred income taxes (Note 5)242 268 
Unrealized gains on derivatives (Note 12)35 90 
Other278 217 
$1,984 $2,148 
December 31,20212020
Other Current Liabilities
Accrued expenses$1,248 $1,226 
Payroll710 653 
VAT payable295 336 
Pension and postretirement (Note 16)38 34 
Interest payable102 135 
Lease liability (Note 4)262 275 
Insurance reserves19 38 
Unrealized losses on derivatives (Note 12)27 70 
Noncontrolling interest redemption and dividend (Note 14)— 231 
Synergy cost accruals (Note 3)200 199 
Other998 1,135 
$3,899 $4,332 

Year Ended December 31,
2019 2018 2017
Interest Expense – Net     
Interest incurred on debt$284
 $297
 $230
Interest income(112) (80) (41)
Amortization on acquired debt(96) (21) 
Interest capitalized(38) (20) (28)
Bond redemption (b)
 26
 
 $38
 $202
 $161
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Table of Contents

Year Ended December 31,
2019 2018 2017
Income Attributable to Noncontrolling Interests     
Noncontrolling interests' operations (c)$87
 $12
 $59
Redeemable noncontrolling interests' operations (Note 16)2
 3
 2
Noncontrolling interests from continuing operations$89
 $15
 $61
Noncontrolling interests from discontinued operations$7
 $9
 $


December 31,20212020
Other Long-term Liabilities
Pension and postretirement (Note 16)$1,802 $2,963 
Tax liabilities for uncertain tax positions (Note 5)302 355 
Tax Act liabilities for deemed repatriation (Note 5)178 204 
Lease liability (Note 4)747 794 
Interest and penalties for uncertain tax positions (Note 5)40 99 
Insurance reserves56 33 
Asset retirement obligation305 302 
Unrealized losses on derivatives (Note 12)11 
Synergy cost accruals (Note 3)253 170 
Other497 588 
$4,188 $5,519 
December 31,20212020
Deferred Credits
Deferred income taxes (Note 5)$6,239 $6,704 
Other759 532 
$6,998 $7,236 
December 31,20212020
Accumulated Other Comprehensive Income (Loss)
Cumulative translation adjustment - net of taxes:
Americas (g)$(3,985)$(3,788)
EMEA (g)94 1,020 
APAC (g)154 616 
Engineering24 354 
Other(280)(1,020)
(3,993)(2,818)
Derivatives – net of taxes75 
Pension/OPEB funded status obligation (net of $305 million and $560 million tax benefit in 2021 and 2020) (Note 16)(1,130)(1,876)
$(5,048)$(4,690)
Balance Sheet(a)
(Millions of dollars)
December 31,
2019 2018
Accounts Receivable   
Trade and Other receivables$4,628
 $4,410
Less: allowance for doubtful accounts (d)(306) (113)
 $4,322
 $4,297


December 31,
2019 2018
Inventories   
Raw materials and supplies$396
 $339
Work in process331
 321
Finished goods970
 991
 $1,697
 $1,651


December 31,2019 2018
Prepaid and Other Current Assets   
Prepaid and other deferred charges (e)$516
 $533
VAT recoverable275
 250
Unrealized gains on derivatives (Note 14)85
 66
Other264
 228
 $1,140
 $1,077

December 31,2019 2018
Other Long-term Assets   
Pension assets (Note 18)$78
 $140
Insurance contracts (f)75
 75
Long-term receivables, net (g)150
 135
Operating lease assets (Note 6)1,025
 
Deposits56
 61
Investments carried at cost40
 76
Deferred charges90
 148
Deferred income taxes (Note 7)243
 510
Unrealized gains on derivatives (Note 14)82
 127
Other174
 190
 $2,013
 $1,462


December 31,2019 2018
Other Current Liabilities   
Accrued expenses$1,079
 $1,187
Payroll619
 658
VAT payable268
 235
Pension and postretirement (Note 18)27
 117
Interest payable127
 137
Operating lease liability (Note 6)260
 
Employee benefit accrual88
 104
Insurance reserves38
 36
Unrealized losses on derivatives (Note 14)54
 36
Other941
 1,248
 $3,501
 $3,758


December 31,2019 2018
Other Long-term Liabilities
  
Pension and postretirement (Note 18)$2,548
 $2,004
Tax liabilities for uncertain tax positions342
 191
Tax Act liabilities for deemed repatriation (Note 7)235
 265
Operating lease liability (Note 6)716
 
Interest and penalties for uncertain tax positions (Note 7)65
 48
Insurance reserves28
 24
Asset retirement obligation293
 300
Unrealized losses on derivatives (Note 14)45
 43
Other616
 560
 $4,888
 $3,435
December 31,2019 2018
Deferred Credits   
Deferred income taxes (Note 7)$6,889
 $7,432
Other347
 179
 $7,236
 $7,611

December 31,2019 2018
Accumulated Other Comprehensive Income (Loss)   
Cumulative translation adjustment - net of taxes:   
Americas (h)$(3,357) $(3,375)
EMEA (h)(136) 105
APAC (h)(140) (114)
Engineering(29) 40
Other282
 (246)
 (3,380) (3,590)
Derivatives – net of taxes(27) (2)
Unrealized gain (loss) on securities
 (1)
Pension/OPEB funded status obligation (net of $446 million and $292 million tax benefit in 2019 and 2018) (Note 18)(1,407) (863)
 $(4,814) $(4,456)

(a)Depreciation and amortization expense in 2019 include $1,298 million and $642Depreciation and amortization expense in 2021 include $1,245 million and $618 million, respectively, of Linde AG purchase accounting impacts. In 2018, depreciation and amortization expense include $225 million and $121 million, respectively, of Linde AG purchase accounting impacts.
(b)In December 2018, Linde repaid $600 million of 4.50% notes due 2019 and €600 million of 1.50% notes due 2020 resulting in a $26 million interest charge ($20 million after-tax).
(c)Noncontrolling interests from continuing operations includes a $1 million benefit and a $35 million charge in 2019 and 2018, respectively, related to the 8% of Linde AG Shares which were not tendered in the Exchange Offer. Linde AG completed the cash merger squeeze-out of all its minority shares on April 8, 2019 (see Note 3).
In addition, 20192020, depreciation and 2018 noncontrolling interests from continuing operationsamortization expense include $54$1,267 million and $24$653 million,, respectively, of Linde AG purchase accounting impacts.

(b)In December 2020, the company repaid $500 million of 4.05% notes and $500 million of 3.00% notes that were due in 2021 resulting in a $16 million interest charge.
(d)Provisions to the allowance for doubtful accounts were $170 million, $25 million, and $33 million in 2019, 2018, and 2017, respectively. The allowance activity in each period related primarily to write-offs of uncollectible amounts, net of recoveries and currency movements.
(e)Includes estimated income tax payments of $115 million and $172 million in 2019 and 2018, respectively.
(f)Consists primarily of insurance contracts and other investments to be utilized for non-qualified pension and OPEB obligations.
(g)Long-term receivables are not material and are largely reserved. The balances at December 31, 2019 and 2018 are net of reserves of $44 million and $46 million, respectively. The amounts in both periods relate primarily to long-term notes receivable from customers and government receivables in Brazil. Collectability is reviewed regularly and uncollectible amounts are written-off as appropriate.
(h)Americas consists of currency translation adjustments primarily in Canada, Mexico, and Brazil. EMEA relates primarily to Germany, the United Kingdom and Sweden. APAC relates primarily to China, Korea, India and Australia.
(c)In 2021, 2020 and 2019 noncontrolling interests from continuing operations includes $15 million, $57 million and $54 million, respectively, of Linde AG purchase accounting impacts. The decrease in 2021 is primarily related to the deconsolidation of a joint venture with operations in APAC (see Note 2) and the buyout of minority interests in the Republic of South Africa (see Note 14).
(d)    Includes estimated income tax payments of $122 million in 2021 and $115 million in 2020.
(e)    Consists primarily of insurance contracts and other investments to be utilized for non-qualified pension and OPEB obligations.
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(f)    The balances at December 31, 2021 and 2020 are net of reserves of $33 million and $34 million, respectively. The amounts in both years relate primarily to long-term notes receivable from customers in APAC and EMEA and government receivables in Brazil.
(g)    Americas consists of currency translation adjustments primarily in Canada, Mexico, and Brazil. EMEA relates primarily to Germany, the U.K. and Sweden. APAC relates primarily to China, South Korea, India and Australia.

NOTE 10.8. PROPERTY, PLANT AND EQUIPMENT – NET
Significant classes of property, plant and equipment are as follows:
(Millions of dollars)
December 31,
 Depreciable Lives (Yrs) 2019 2018
Production plants (primarily 15-year life) (a) 10-20 $25,493
 $24,726
Storage tanks 15-20 4,295
 4,061
Transportation equipment and other 3-15 2,809
 2,654
Cylinders 10-30 4,184
 3,955
Buildings 25-40 3,162
 3,083
Land and improvements (b) 0-20 1,229
 1,162
Construction in progress   3,146
 2,296
    44,318
 41,937
Less: accumulated depreciation   (15,254) (12,220)
    $29,064
 $29,717

(Millions of dollars)
December 31,
Depreciable Lives (Yrs)20212020
Production plants (primarily 15-year life) (a)10-20$29,120 $28,226 
Storage tanks15-204,441 4,461 
Transportation equipment and other3-152,973 2,978 
Cylinders10-304,474 4,491 
Buildings25-403,265 3,327 
Land and improvements (b)0-201,121 1,259 
Construction in progress3,062 3,257 
48,456 47,999 
Less: accumulated depreciation(22,453)(19,288)
$26,003 $28,711 
(a) - Depreciable lives of production plants related to long-term customer supply contracts are generally consistent with the contract lives.
(b) - Land is not depreciated.















NOTE 11.9. GOODWILL
Changes in the carrying amount of goodwill for the years ended December 31, 20192021 and 20182020 were as follows:
(Millions of dollars)AmericasEMEAAPACEngineeringOtherTotal
Balance, December 31, 2019$9,042 $10,243 $4,957 $2,470 $307 $27,019 
Acquisitions13 — — — — 13 
Foreign currency translation and other35 643 305 212 23 1,218 
Disposals(7)(42)— — — (49)
Balance, December 31, 20209,083 10,844 5,262 2,682 330 28,201 
Acquisitions45 — — — 46 
Foreign currency translation and other(41)(559)(173)(186)(7)(966)
Disposals (Note 2)— (8)(235)— — (243)
Balance, December 31, 2021$9,087 $10,278 $4,854 $2,496 $323 $27,038 
(Millions of dollars)Americas EMEA APAC Engineering Other Total
Balance, December 31, 2017$2,306
 $695
 $59
 $
 $173
 $3,233
Addition due to Merger (Note 3)6,890
 10,802
 5,193
 1,060
 201
 24,146
Acquisitions (Note 3)5
 
 
 


 
 5
Purchase adjustments & other12
 
 
 


 
 12
Foreign currency translation(39) 83
 43
 15
 (4) 98
Disposals (Note 4)
 (620) 
 


 
 (620)
Balance, December 31, 20189,174
 10,960
 5,295
 1,075
 370
 26,874
Acquisitions (Note 3)135
 
 
 
 
 135
Measurement period adjustments (Note 3)(255) (636) (323) 1,410
 (42) 154
Foreign currency translation(12) (81) (15) (15) (21) (144)
Balance, December 31, 2019$9,042
 $10,243
 $4,957
 $2,470
 $307
 $27,019

Linde has historically performed its goodwill impairment tests annually during the secondfourth quarter of each year and has determined that the fair value of each of its reporting units was substantially in excess of its carrying value. For the second quarter 20192021 test, Lindethe company applied the FASB's accounting guidance which allows the company to first assess qualitative factors to determine the extent of additional quantitative analysis, if any, that may be required to test goodwill for impairment. Based on the qualitative assessments performed, Lindethe company concluded that it was more likely than not that the fair value of each reporting unit substantially exceeded its carrying value and therefore, further quantitative analysis was not required. As a result, no impairment was recorded.
During the fourth quarter of fiscal year 2019, the company changed the date of its annual goodwill impairment test from April 30 to October 1. The change was made to more closely align the impairment testing date with the company’s planning process. The change in annual impairment testing date did not delay, accelerate or avoid an impairment charge. The company has determined this change in the method of applying an accounting principle is preferable.
Linde's impairment test performed during the fourth quarter of 2019 estimated the fair value of each reporting unit by applying multiples of earnings from a peer group to the company’s forecasted earnings for the year ending December 31, 2019.  The peer group is comprised of comparable entities with similar operations and economic characteristics. Linde concluded the fair value of reporting units exceeded its carrying value and therefore recognized no impairment. There were 0no indicators of impairment through December 31, 2019. Reporting units with greater concentration of Linde AG assets fair valued during the recent merger are at greater risk of impairment in future periods.2021.

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NOTE 12.10. OTHER INTANGIBLE ASSETS

The following is a summary of Linde’s other intangible assets at December 31, 20192021 and 2018:2020:  
(Millions of dollars) For the year ended December 31, 2021Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2020$13,776 $2,895 $1,697 $18,368 
Additions12 — 61 73 
Foreign currency translation(490)(113)(69)(672)
Disposals (Note 2)(1,085)(94)(46)(1,225)
Other *(354)(3)(14)(371)
Balance, December 31, 202111,859 2,685 1,629 16,173 
Less: accumulated amortization:
Balance, December 31, 2020(1,470)(118)(596)(2,184)
Amortization expense (Note 7)(553)(45)(125)(723)
Foreign currency translation64 22 89 
Disposals (Note 2)66 13 80 
Other *352 — 15 367 
Balance, December 31, 2021(1,541)(159)(671)(2,371)
Net intangible asset balance at December 31, 2021$10,318 $2,526 $958 $13,802 
(Millions of dollars) For the year ended December 31, 2020Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2019$13,205 $2,764 $1,612 $17,581 
Additions— 56 61 
Foreign currency translation632 134 47 813 
Disposals(2)— (20)(22)
Other *(64)(3)(65)
Balance, December 31, 202013,776 2,895 1,697 18,368 
Less: accumulated amortization:
Balance, December 31, 2019(885)(69)(490)(1,444)
Amortization expense (Note 7)(589)(45)(131)(765)
Foreign currency translation(53)(3)(55)
Disposals— 20 21 
Other *56 (1)59 
Balance, December 31, 2020(1,470)(118)(596)(2,184)
Net balance at December 31, 2020$12,306 $2,777 $1,101 $16,184 
(Millions of dollars) For the year ended December 31, 2019Customer Relationships Brands/Tradenames Other Intangible Assets Total
Cost:       
Balance, December 31, 2018$13,288
 $2,288
 $1,366
 $16,942
Additions (primarily acquisitions)30
 6
 51
 87
Foreign currency translation(59) (21) (11) (91)
Measurement period adjustments (Note 3)(8) 492
 178
 662
Other *(46) (1) 28
 (19)
Balance, December 31, 201913,205
 2,764
 1,612
 17,581
Less: accumulated amortization:       
Balance, December 31, 2018(317) (22) (380) (719)
Amortization expense (Note 9)(584) (47) (104) (735)
Foreign currency translation
 
 2
 2
Other *16
 
 (8) 8
Balance, December 31, 2019(885) (69) (490) (1,444)
Net intangible asset balance at December 31, 2019$12,320
 $2,695
 $1,122
 $16,137
        
(Millions of dollars) For the year ended December 31, 2018Customer Relationships Brands/Tradenames Other Intangible Assets Total
Cost:       
Balance, December 31, 2017$772
 $46
 $619
 $1,437
Additions due to merger (Note 3)12,555
 2,226
 811
 15,592
Additions (primarily acquisitions)1
 
 26
 27
Foreign currency translation121
 24
 (9) 136
Disposals (Note 4)(141) (8) (78) (227)
Other *(20) 
 (3) (23)
Balance, December 31, 201813,288
 2,288
 1,366
 16,942
Less: accumulated amortization:       
Balance, December 31, 2017(260) (18) (374) (652)
Amortization expense (Note 9)(135) (9) (71) (215)
Foreign currency translation4
 
 8
 12
Disposals (Note 4)55
 5
 52
 112
Other *19
 
 5
 24
Balance, December 31, 2018(317) (22) (380) (719)
Net balance at December 31, 2018$12,971
 $2,266
 $986
 $16,223

________________________*Other primarily relates to the write-off of fully amortized assets and reclassifications. 2021 Other is primarily due to merger related customer lists in the Americas.
*Other primarily relates to the write-off of fully amortized assets and reclassifications.
There are no expected residual values related to these intangible assets. Amortization expense for the years ended December 31, 2019, 20182021, 2020 and 20172019 was $735$723 million, $215$765 million and $91$735 million, respectively. The remaining weighted-average amortization period for intangible assets is approximately 2824 years.
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Total estimated annual amortization expense related to finite-lived intangibles is as follows: 
(Millions of dollars) 
2022$615 
2023579 
2024571 
2025530 
2026511 
Thereafter9,183 
Total amortization related to finite-lived intangible assets11,989 
Indefinite-lived intangible assets at December 31, 20211,813 
Net intangible assets at December 31, 2021$13,802 
(Millions of dollars) 
2020$718
2021713
2022595
2023570
2024556
Thereafter11,115
Total amortization related to finite-lived intangible assets14,267
Indefinite-lived intangible assets at December 31, 20191,870
Net intangible assets at December 31, 2019$16,137


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NOTE 13.11. DEBT
The following is a summary of Linde’s outstanding debt at December 31, 2021 and 2020:
(Millions of dollars)December 31, 2021December 31, 2020
SHORT-TERM
     Commercial paper$278 $2,527 
     Other borrowings (primarily non U.S.)885 724 
Total short-term debt1,163 3,251 
LONG-TERM (a)
(U.S. dollar denominated unless otherwise noted)
3.875% Euro denominated notes due 2021 (c)— 748 
0.250% Euro denominated notes due 2022 (b) (f)1,137 1,226 
2.45% Notes due 2022 (e)— 599 
2.20% Notes due 2022500 499 
2.70% Notes due 2023500 499 
2.00% Euro denominated notes due 2023 (b)759 832 
5.875% GBP denominated notes due 2023 (b)432 460 
1.20% Euro denominated notes due 2024625 671 
1.875% Euro denominated notes due 2024 (b)356 389 
2.65% Notes due 2025399 398 
1.625% Euro denominated notes due 2025565 607 
0.00% Euro denominated notes due 2026 (d)799 — 
3.20% Notes due 2026725 725 
3.434% Notes due 2026197 196 
1.652% Euro denominated notes due 202794 100 
0.250% Euro denominated notes due 2027850 914 
1.00% Euro denominated notes due 2028 (b)879 966 
1.10% Notes due 2030696 696 
1.90% Euro denominated notes due 2030118 127 
0.550% Euro denominated notes due 2032847 909 
0.375% Euro denominated notes due 2033 (d)565 — 
3.55% Notes due 2042664 664 
2.00% Notes due 2050296 296 
1.00% Euro denominated notes due 2051 (d)788 — 
Non U.S. borrowings243 372 
Other10 10 
13,044 12,903 
Less: current portion of long-term debt(1,709)(751)
Total long-term debt11,335 12,152 
Total debt$14,207 $16,154 
________________________
(a)Amounts are net of unamortized discounts, premiums and/or debt issuance costs as applicable.
(b)December 31, 20192021 and 2020 included a cumulative $42 million and $79 million adjustment to carrying value, respectively, related to hedge accounting of interest rate swaps.
(c) and 2018:In June 2021, the company repaid €600 million of 3.875% note that became due.
(Millions of dollars)2019 2018
Short-term   
Commercial paper and U.S. bank borrowings$996
 $829
Other bank borrowings (primarily international)736
 656
Total short-term debt1,732
 1,485
Long-term (a)   
(U.S. dollar denominated unless otherwise noted)   
1.90% Notes due 2019 (b)
 500
Variable rate notes due 2019 (b)
 150
1.75% Euro denominated notes due 2019 (b,c)
 578
4.25% AUD denominated notes due 2019 (b)
 71
Variable rate notes due 2019 (b)
 200
2.25% Notes due 2020300
 299
1.75% Euro denominated notes due 2020 (c)1,137
 1,185
0.634% Euro denominated notes due 202056
 58
4.05% Notes due 2021499
 499
3.875% Euro denominated notes due 2021 (c)711
 755
3.00% Notes due 2021499
 498
0.250% Euro denominated notes due 2022 (c)1,129
 1,156
2.45% Notes due 2022599
 598
2.20% Notes due 2022499
 498
2.70% Notes due 2023499
 498
2.00% Euro denominated notes due 2023 (c)776
 805
5.875% GBP denominated notes due 2023 (c)456
 454
1.20% Euro denominated notes due 2024615
 628
1.875% Euro denominated notes due 2024 (c)361
 373
2.65% Notes due 2025398
 398
1.625% Euro denominated notes due 2025556
 568
3.20% Notes due 2026725
 725
3.434% Notes due 2026196
 195
1.652% Euro denominated notes due 202793
 96
1.00% Euro denominated notes due 2028 (c)872
 861
1.90% Euro denominated notes due 2030118
 121
3.55% Notes due 2042662
 662
Other10
 10
International bank borrowings309
 291
Obligations under capital lease149
 81
 12,224
 13,811
Less: current portion of long-term debt(1,531) (1,523)
Total long-term debt10,693
 12,288
Total debt$13,956
 $15,296
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(d)In September 2021, Linde issued €700 million of 0.000% notes due 2026, €500 million of 0.375% notes due 2033, and €700 million of 1.000% notes due 2051.
________________________(e)In November 2021, Linde repaid $600 million of 2.45% notes that were due in 2022. There was no impact to interest within the consolidated statements of income.
(a)Amounts are net of unamortized discounts, premiums and/or debt issuance costs as applicable.

(f)In January 2022, Linde repaid €1.0 billion of 0.250% notes that became due in 2022.
(b)In February 2019, Linde repaid $500 million of 1.9% notes that became due; in May 2019 Linde repaid $150 million of variable notes that became due; in June 2019 Linde repaid €500 million of 1.75% notes that became due and the associated interest rate swap was settled; also in June 2019 Linde settled AUD100 million of variable rate notes that became due; and in August 2019 Linde repaid $200 million of variable rate notes that became due.
(c)December 31, 2019 and 2018 included a cumulative $38 million and $14 million adjustment to carrying value, respectively, related to hedge accounting of interest rate swaps.

Credit Facilities
On March 26, 2019 the company and certain of its subsidiaries entered into an unsecured revolving credit agreement ("the Credit Agreement") with a syndicate of banking institutions, which became effective on March 29, 2019. The Credit Agreement provides for total commitments of $5.0 billion, which may be increased up to $6.5 billion, subject to receipt of additional commitments and satisfaction of customary conditions. There are no financial maintenance covenants contained within the Credit Agreement. The revolving credit facility expires on March 26, 2024 with the option to request 2 one-year extensions of the expiration date. In connection with the effectiveness of the Credit Agreement, Praxair and Linde AG terminated their major respective existing revolving credit facilities. No borrowings were outstanding under the Credit Agreement as of December 31, 2019.2021.

On September 3, 2019 Linde and the company’s subsidiaries Praxair and Linde AG entered into a series of parent and subsidiary guarantees related to currently outstanding notes issued by Praxair and Linde AG as well as the $5 billion Credit Agreement.

Other Debt Information
As of December 31, 20192021 and 2018,2020, the weighted-average interest rate of short-term borrowings outstanding was 0.6% for0.0% in both periods.years.
Expected maturities of long-term debt are as follows:
(Millions of dollars) 
2020$1,531
20211,855
20222,330
20231,798
2024983
Thereafter3,727
 $12,224

(Millions of dollars) 
2022$1,709 
20231,706 
2024988 
2025984 
20261,735 
Thereafter5,922 
$13,044 
As of December 31, 2019,2021, the amount of Linde's assets pledged as collateral was immaterial.
See Note 1513 for the fair value information related to debt.

NOTE 14.12. FINANCIAL INSTRUMENTS
In its normal operations, Linde is exposed to market risks relating to fluctuations in interest rates, foreign currency exchange rates, energy costs and to a lesser extent precious metal prices.commodity costs. The objective of financial risk management at Linde is to minimize the negative impact of such fluctuations on the company’s earnings and cash flows. To manage these risks, among other strategies, Linde routinely enters into various derivative financial instruments (“derivatives”) including interest-rate swap and treasury rate lock agreements, currency-swap agreements, forward contracts, currency options, and commodity-swap agreements. These instruments are not entered into for trading purposes and Linde only uses commonly traded and non-leveraged instruments.
There are three types of derivatives that the company enters into: (i) those relating to fair-value exposures, (ii) those relating to cash-flow exposures, and (iii) those relating to foreign currency net investment exposures. Fair-value exposures relate to recognized assets or liabilities, and firm commitments; cash-flow exposures relate to the variability of future cash flows associated with recognized assets or liabilities, or forecasted transactions; and net investment exposures relate to the impact of foreign currency exchange rate changes on the carrying value of net assets denominated in foreign currencies.
When a derivative is executed and hedge accounting is appropriate, it is designated as either a fair-value hedge, cash-flow hedge, or a net investment hedge. Currently, Linde designates all interest-rate and treasury-rate locks as hedges for accounting purposes; however, cross-currency interest rate contracts are generally not designated as hedges for accounting

purposes. Certain currency contracts related to forecasted transactions are designated as hedges for accounting purposes. Whether designated as hedges for accounting purposes or not, all derivatives are linked to an appropriate underlying exposure. On
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an ongoing basis, the company assesses the hedge effectiveness of all derivatives designated as hedges for accounting purposes to determine if they continue to be highly effective in offsetting changes in fair values or cash flows of the underlying hedged items. If it is determined that the hedge is not highly effective, through the use of a qualitative assessment, then hedge accounting will be discontinued prospectively.
Counterparties to Linde’s derivatives are major banking institutions with credit ratings of investment grade or better. The company has Credit Support Annexes ("CSAs") in place for certain entities with their principal counterparties to minimize potential default risk and to mitigate counterparty risk. Under the CSAs, the fair values of derivatives for the purpose of interest rate and currency management are collateralized with cash on a regular basis. As of December 31, 2019,2021, the impact of such collateral posting arrangements on the fair value of derivatives was insignificant. Management believes the risk of incurring losses on derivative contracts related to credit risk is remote and any losses would be immaterial.
The following table is a summary of the notional amount and fair value of derivatives outstanding at December 31, 20192021 and 20182020 for consolidated subsidiaries: 
   Fair Value
(Millions of dollars)Notional AmountsAssets (a)Liabilities (a)
December 31,202120202021202020212020
Derivatives Not Designated as Hedging Instruments:
Currency contracts:
Balance sheet items$4,427 $6,470 $22 $72 $17 $48 
       Forecasted transactions
537 823 16 11 12 
       Cross-currency swaps
148 260 21 24 
Commodity contractsN/AN/A— — — 
Total$5,112 $7,553 $49 $113 $32 $67 
Derivatives Designated as Hedging Instruments:
Currency contracts:
Balance sheet items$— $— $— $— $— $— 
Forecasted transactions758 355 14 20 14 
Commodity contractsN/AN/A49 — — 
Interest rate swaps1,251 1,923 24 64 — — 
Total Hedges$2,009 $2,278 $87 $87 $$14 
Total Derivatives$7,121 $9,831 $136 $200 $35 $81 
     Fair Value
(Millions of dollars)Notional Amounts Assets (a) Liabilities (a)
December 31,2019 2018 2019 2018 2019 2018
Derivatives Not Designated as Hedging Instruments:           
Currency contracts:           
Balance sheet items$7,936
 $6,357
 $62
 $24
 $37
 $42
       Forecasted transactions
748
 945
 14
 15
 15
 17
       Cross-currency interest rate swaps
1,029
 2,110
 35
 112
 40
 40
Commodity contractsN/A N/A 
 27
 
 9
Total9,713

9,412
 111

178
 92
 108
Derivatives Designated as Hedging Instruments:           
Currency contracts:           
Balance sheet items$27
 $
 $2
 $
 $3
 $
Forecasted transactions464
 158
 9
 2
 3
 3
Commodity contractsN/A N/A 6
 
 1
 
Interest rate swaps1,908
 2,164
 39
 13
 
 10
Total Hedges$2,399
 $2,322
 $56
 $15
 $7
 $13
Total Derivatives$12,112
 $11,734
 $167
 $193
 $99
 $121
(a) CurrentDecember 31, 2021 and 2020 included current assets of $85$101 million and $110 million, which are recorded in prepaid and other current assets; long-term assets of $82$35 million and $90 million, which are recorded in other long-term assets; current liabilities of $54$27 million and $70 million, which are recorded in other current liabilities; and long-term liabilities of $45$8 million and $11 million, which are recorded in other long-term liabilities.
Balance Sheet Items
Foreign currency contracts related to balance sheet items consist of forward contracts entered into to manage the exposure to fluctuations in foreign-currency exchange rates on recorded balance sheet assets and liabilities denominated in currencies other than the functional currency of the related operating unit. Certain forward currency contracts are entered into to protect underlying monetary assets and liabilities denominated in foreign currencies from foreign exchange risk and are not designated as hedging instruments. For balance sheet items that are not designated as hedging instruments, the fair value adjustments on these contracts are offset by the fair value adjustments recorded on the underlying monetary assets and liabilities.
Forecasted Transactions
Foreign currency contracts related to forecasted transactions consist of forward contracts entered into to manage the exposure to fluctuations in foreign-currency exchange rates on (1) forecasted purchases of capital-related equipment and services, (2) forecasted sales, or (3) other forecasted cash flows denominated in currencies other than the functional
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currency of the related operating units. For forecasted transactions that are designated as cash flow hedges, fair value adjustments are

recorded to accumulated other comprehensive income ("AOCI") with deferred amounts reclassified to earnings over the same time period as the income statement impact of the associated purchase. For forecasted transactions that do not qualify for cash flow hedging relationships, fair value adjustments are recorded directly to earnings.
Interest Rate/Cross-Currency Interest Rate Swaps
Cross-currency interest rate swaps are entered into to limit the foreign currency risk of future principal and interest cash flows associated with intercompany loans, and to a more limited extent bonds, denominated in non-functional currencies. The fair value adjustments on the cross-currency swaps are recorded to earnings, where they are offset by fair value adjustments on the underlying intercompany loan or bond.
Commodity Contracts
Commodity contracts are entered into to manage the exposure to fluctuations in commodity prices, which arise in the normal course of business from its procurement transactions. To reduce the extent of this risk, Linde enters into a limited number of electricity, natural gas, and propane gas derivatives. TheFor forecasted transactions that are designated as cash flow hedges, fair value adjustments for the majority of these contracts are recorded to AOCI and are eventually offset byaccumulated other comprehensive income ("AOCI") with deferred amounts reclassified to earnings over the same time period as the income statement impact of the underlying commodityassociated purchase.
Net investment hedgesInvestment Hedges
As of December 31, 2019,2021, Linde has not€4.2 billion ($4.8 billion) Euro-denominated notes and intercompany loans that are designated anyas hedges of the net investment positions in foreign operations. Linde hadSince hedge inception, the deferred gain recorded within cumulative translation adjustment component of AOCI in the consolidated balance sheet and the consolidated statement of comprehensive income is $140 million (deferred gain of $140 million for the year ended December 31, 2021).
As of December 31, 2021, exchange rate movements relating to previously designated Euro-denominated debt instruments as net investment hedges to reduce the company's exposure to changesthat remain in the currency exchange rate on investments in foreign subsidiaries with Euro functional currencies. Exchange rateAOCI is a loss of $42 million. These movements of $206 million relating to the previously denominated Euro-denominated debt incurred in the financial periods prior to de-designation will remain in AOCI, until appropriate, such as upon sale or liquidation of the related foreign operations at which time amounts will be reclassified to the consolidated statements of income. Exchange rate movements related to the Euro-denominated debt occurring after de-designation are shown in the consolidated statements of income.
Interest Rate Swaps
Linde uses interest rate swaps to hedge the exposure to changes in the fair value of financial assets and financial liabilities as a result of interest rate changes. These interest rate swaps effectively convert fixed-rate interest exposures to variable rates; fair value adjustments are recognized in earnings along with an equally offsetting charge/benefit to earnings for the changes in the fair value of the underlying financial asset or financial liability. The notional value of outstanding interest rate swaps of Linde with maturity dates from 20202022 through 2028 was $1,908$1,251 million at December 31, 20192021 and $2,164$1,923 million at December 31, 20182020 (see Note 1311 for further information).
Terminated Treasury Rate Locks
The unrecognized aggregateaggregated losses related to terminated treasury rate lock contracts on the underlying $500 million 3.00% fixed-rate notes that mature in 2021 and the $500 million 2.20% fixed-rate notes that mature in 2022 at December 31, 20192021 and December 31, 20182020 were $2 million (net of taxes of $1 million) and $2 million (net of taxes of $1 million), respectively.immaterial in both periods. The unrecognized gains/(losses) for the treasury rate locks are shown in AOCI and are being recognized on a straight line basis to interest expense - net over the term of the underlying debt agreements.
Derivatives Impact on Consolidated Statements of derivative instruments on earnings and AOCIIncome
The following table summarizes the impact of the company's derivatives on the consolidated statements of income:
(Millions of dollars)
    Amount of Pre-Tax Gain (Loss)    
Recognized in Earnings *
December 31,2019 2018 2017
Derivatives Not Designated as Hedging Instruments     
Currency contracts:     
Balance sheet items:     
Debt-related$253
 $(118) $121
Other balance sheet items65
 3
 
Total$318
 $(115) $121

(Millions of dollars)    Amount of Pre-Tax Gain (Loss)    
Recognized in Earnings *
December 31,202120202019
Derivatives Not Designated as Hedging Instruments
Currency contracts:
Balance sheet items:
Debt-related$42 $(125)$253 
Other balance sheet items(5)(40)65 
Total$38 $(165)$318 
* The gains (losses) on balance sheet items are offset by gains (losses) recorded on the underlying hedged assets and liabilities. Accordingly, the gains (losses) for the derivatives and the underlying hedged assets and liabilities related to debt items are recorded in the consolidated statements of income as
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interest expense-net. Other balance sheet items and anticipated net income gains (losses) are recorded in the consolidated statements of income as other income (expenses)-net.

The amounts of gain or loss recognized in AOCI and reclassified to the consolidated statement of income was immaterial for the year ended December 31, 2019.2021. Net losses expected to be reclassified to earnings during the next twelve months are also not material.

The gains (losses) on net investment hedges are recorded as a component of AOCI within foreign currency translation adjustments in the consolidated balance sheets and the consolidated statements of comprehensive income. The gains (losses) on treasury rate locks are recorded as a component of AOCI within derivative instruments in the consolidated balance sheets and the consolidated statements of comprehensive income. The gains (losses) on net investment hedges are reclassified to earnings only when the related currency translation adjustments are required to be reclassified, usually upon sale or liquidation of the investment. The gains (losses) for interest rate contracts are reclassified to earnings as interest expense –net on a straight-line basis over the remaining maturity of the underlying debt.


NOTE 15.13. FAIR VALUE DISCLOSURES
The fair value hierarchy prioritizes the inputs to valuation techniques used to measure fair value into three broad levels as follows:
Level 1 – quoted prices in active markets for identical assets or liabilities
Level 2 – quoted prices for similar assets and liabilities in active markets or inputs that are observable
Level 3 – inputs that are unobservable (for example cash flow modeling inputs based on assumptions)
Assets and Liabilities Measured at Fair Value on a Recurring Basis
The following table summarizes assets and liabilities measured at fair value on a recurring basis at December 31, 20192021 and 2018:2020: 
 Fair Value Measurements Using
(Millions of dollars)Level 1Level 2Level 3
 202120202021202020212020
Assets
Derivative assets$— $— $136 $200 $— $— 
Investments and securities *42 21 — — 20 47 
Total$42 $21 $136 $200 $20 $47 
Liabilities
Derivative liabilities$— $— $35 $81 $— $— 
 Fair Value Measurements Using
(Millions of dollars)Level 1 Level 2 Level 3
 2019 2018 2019 2018 2019 2018
Assets           
Derivative assets$
 $
 $167
 $193
 $
 $
Investments and securities *18
 22
 
 
 28
 30
Total$18
 $22
 $167
 $193
 $28
 $30
Liabilities           
Derivative liabilities$
 $
 $99
 $121
 $
 $

*
Investments and securities are recorded in prepaid and other current assets and other long-term assets in the company's consolidated balance sheets.
*Investments and securities are recorded in prepaid and other current assets and other long-term assets in the company's consolidated balance sheets.
Level 1 investments and securities are marketable securities traded on an exchange. Level 2 investments are based on market prices obtained from independent brokers or determined using quantitative models that use as their basis readily observable market parameters that are actively quoted and can be validated through external sources, including third-party pricing services, brokers and market transactions. Level 3 investments and securities consist of a venture fund. For the valuation, Linde uses the net asset value received as part of the fund's quarterly reporting, which for the most part is not based on quoted prices in active markets. In order to reflect current market conditions, Linde proportionally adjusts these by observable market data (stock exchange prices) or current transaction prices.

The following table summarizes the changesChanges in level 3 investments and securities for the year ended December 31, 2019. Gains (losses) recognized in earnings are recorded to interest expense - net in the company's consolidated statements of income.
(Millions of dollars)2019
Balance at January 1$30
Additions1
Gains (losses) recognized in earnings(3)
Balance at December 31$28

were immaterial.
The fair value of cash and cash equivalents, short-term debt, accounts receivable-net, and accounts payable approximate carrying value because of the short-term maturities of these instruments.
The fair value of long-term debt is estimated based on the quoted market prices for the same or similar issues. Long-term debt is categorized within either Level 1 or Level 2 of the fair value hierarchy depending on the trading volume of the issues and whether or not they are actively quoted in the market as opposed to traded through over-the-counter transactions. At December 31, 2019,2021, the estimated fair value of Linde’s long-term debt portfolio was $12,375$13,219 million versus a carrying value of $12,224$13,044 million. At December 31, 20182020 the estimated fair value of Linde’s long-term debt portfolio was $13,725$13,611 million versus a carrying value of $13,811 million. As Linde AG's assets and liabilities were measured at estimated fair value as of the merger date, differences$12,903 million. Differences between the carrying value and the fair value not significant; remaining differences are attributable to fluctuations in interest rate increasesrates subsequent to when the debt was issued and relative to stated coupon rates.





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NOTE 16.14. EQUITY AND NONCONTROLLING INTERESTS
Linde plc Shareholders’ Equity
At December 31, 20192021 and 2018,2020, Linde has total authorized share capital of €1,825,000 divided into 1,750,000,000 ordinary shares of €0.001 each, 25,000 A ordinary shares of €1.00 each, 25,000 deferred shares of €1.00 each and 25,000,000 preferred shares of €0.001 each.
At December 31, 20192021 there were 552,012,862 and 534,380,544508,680,879 of Linde plc ordinary shares issued and outstanding, respectively. At December 31, 20192021 there were no shares of A ordinary shares, deferred shares or preferred shares issued or outstanding.
At December 31, 20182020 there were 551,310,272552,012,862 and 547,241,630523,294,529 of Linde plc ordinary shares issued and outstanding, respectively. At December 31, 2018,2020, there were no shares of A ordinary shares, deferred shares or preferred shares issued or outstanding.
Linde’s Board of Directors may from time to time authorize the issuance of one or more series of preferred stock and, in connection with the creation of such series, determine the characteristics of each such series including, without limitation, the preference and relative, participating, optional or other special rights, and the qualifications, limitations or restrictions of the series.
2018 Merger of Praxair and Linde AG
Following is a summary of the Linde plc shareholders' equity transactions related to the merger:
 Ordinary Shares Additional Paid in Capital Treasury Stock
(Dollar amounts in millions, shares in thousands)Shares Amount   Shares Amount
Merger with Linde AG (a)263,148
 $
 $43,288
 
 $
Conversion of Praxair to Linde plc shares (b)
 (3) 3
 
 
Cancellation of Praxair Treasury stock (c)(95,324) 
 (7,113) (95,324) 7,113
     Impact of Linde AG merger167,824
 $(3) $36,178
 (95,324) $7,113


(a)The total fair value of consideration transferred for the merger was $43,288 million, resulting in an increase to "Additional paid-in capital" in stockholders' equity (see Note 3 for additional information).

(b)On October 31, 2018, the conversion of Praxair common stock and Linde AG common stock into Linde ordinary shares resulted in a $3 million decrease to "Ordinary Shares" with a corresponding increase to "Additional paid-in capital" in stockholders' equity.

(c)Each share of Praxair common stock held in treasury immediately prior to the merger was canceled. The elimination of Praxair's historical treasury stock at cost resulted in a $7,113 million decrease in "Treasury stock" and "Additional paid-in capital" in stockholders' equity.

As indicated above, in connection with the merger, Praxair and Linde AG common stock was converted into shares of Linde plc ordinary shares. The following table provides a summary of the share activity resulting from the merger:

(in thousands, except Linde AG exchange ratio)
Linde plc shares exchanged for Linde AG shares
Linde AG common stock tendered as of October 31, 2018 (i)170,875
Business combination agreement exchange ratio (ii)1.54
Linde plc ordinary shares issued in exchange for Linde AG263,148
Linde plc shares issued to Praxair shareholders upon conversion
Praxair shares outstanding at merger date287,907
Total Linde plc shares issued at merger date551,055

(i)Number of Linde AG shares tendered in the 2017 Exchange Offer.
(ii)Exchange ratio for Linde AG shares as set forth in the business combination agreement.

Other Linde plc Ordinary Share and Treasury StockShare Transactions
Linde may issue new ordinary shares for dividend reinvestment and stock purchase plans and employee savings and incentive plans. The number of new Linde ordinary shares issued from the merger date through December 31, 2019 was 958,293 shares. No new ordinary shares were issued in 2020 or 2021.
On December 10, 2018 the Linde board of directors approved the repurchase of $1.0 billion of its ordinary shares under which Linde had repurchased 6,385,887 shares through December 31, 2019 (4,068,642 shares were repurchased through December 31, 2018). Linde completed the repurchases under this program in the first quarter of 2019.
Subsequently, onOn January 22, 2019 the company’s board of directors approved the additional repurchase of $6.0 billion of its ordinary shares under which Linde had repurchased 12,016,08324,847,354 shares through December 31, 2019.2021 (24,310,534 shares were repurchased through December 31, 2020). This program expired on February 1, 2021.
On January 25, 2021 the company's board of directors approved the additional repurchase of $5.0 billion of its ordinary shares under which Linde had repurchased 15,103,335 shares through December 31, 2021. This program is set to expire on July 31, 2023.
On February 28, 2022 the Linde board of directors authorized a new share repurchase program for up to $10.0 billion of its ordinary shares expiring on July 31, 2024.
Noncontrolling Interests
Noncontrolling interest ownership changes are presented within the consolidated statements of equity. The decrease during 2021 is primarily related to the deconsolidation of a joint venture with operations in APAC (see Note 2).

The decrease during 2020 primarily relates to the initiated buyout of minority interests in the Republic of South Africa. As of December 31, 2020, the conditions of the buyout were met obligating the company to execute in January 2021. Therefore, the company reclassified $196 million from non-controlling interest to other current liabilities reflecting the transaction price. An additional $35 million of dividends declared to the minority owners, reflected on the Dividends and other capital reductions line, was also reclassified to other current liabilities at December 31, 2020 and was paid in January 2021.

The $2,921 million decrease during 2019 was primarily driven by Linde AGthe completion of the cash merger squeeze-out of all its minority shares on April 8, 2019. This represents the 8% of Linde AG shares which were not tendered in the Exchange Offer and were the subject of a cash-merger squeeze-out (See Note 3).
The $186 million decrease during 2018 primarily relatesrelated to the sale of Praxair's industrial gases business in Europe (see Notes 1 and 4). The "Impact of Merger" line item of the consolidated statements of equity includes the fair value of the noncontrolling interests acquired from Linde AG, including the 8% of Linde AG shares which were not tendered in the Exchange Offer and were intended to be the subject of a cash-merger squeeze-out (See Note 3).
The $15 million increase during 2017 relates to additional funding provided to PG Technologies, LLC ("PGT") by the joint venture partner.merger.
Redeemable Noncontrolling Interests
Noncontrolling interests with redemption features, such as put/sell options, that are not solely within the company’s control (“redeemable noncontrolling interests”) are reported separately in the consolidated balance sheets at the greater of carrying value or redemption value. For redeemable noncontrolling interests that are not yet exercisable, Linde calculates the redemption value by accreting the carrying value to the redemption value over the period until exercisable. If the redemption value is greater than the carrying value, any increase is adjusted directly to retained earnings and does not impact net income. At December 31, 2019,2021 and 2020, the redeemable noncontrolling interest balance includes an industrial gas businessesbusiness in EMEA and Americas where the noncontrolling shareholders have put options.

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NOTE 17.15. SHARE-BASED COMPENSATION
Share-based compensation expense was $128 million in 2021 ($133 million and $95 million in 2019 ($62 million2020 and $59 million in 2018 and 2017,2019, respectively). The related income tax benefit recognized was $64 million in 2021 ($79 million and $42 million in 2019 ($30 million2020 and $53 million in 2018 and 2017,2019, respectively). The expense was primarily recorded in selling, general and administrative expenses and no share-based compensation expense was capitalized.
Summary of Plans
The 2009 Praxair, Inc. Long-Term2021 Linde plc Long Term Incentive Plan (the “2021 Plan") was initially adopted by the boardBoard of directorsDirectors and shareholders of Praxair, Inc.Linde plc on April 28, 2009 and has been amended since its initialJuly 26, 2021. Upon adoption ("the 2009 Plan"). Upon completion of the business combination of Praxair, Inc. with Linde AG on October 31, 2018, the 20092021 Plan, was assumed by the company. Prior to April 28, 2009, Praxair, Inc. granted equityany authorized shares that remained available for grant for new awards under the 2002 Praxair, Inc. Long-TermAmended and Restated 2009 Linde Long Term Incentive Plan , (“the 2002(the “2009 Plan”) which was also assumed by the company upon completion of the business combination.were cancelled. The 20092021 Plan permits awards of stock options, stock appreciation rights, restricted stock and restricted stock units, performance-based stock units and other equity awards to eligible officer and non-officer employees and non-employee directors of the company and its affiliates. As of December 31, 2019, 6,454,4282021, 8,995,710 shares remained available for equity grants under the 20092021 Plan, of which 1,757,3542,995,710 shares may be granted as awards other than options or stock appreciation rights.

In 2005, the board of directors and shareholders of Praxair, Inc. adopted the 2005 Equity Compensation Plan for Non-Employee Directors of Praxair, Inc. ("the 2005 Plan"). Upon completion of the business combination in October 2018, the 2005 Plan was also assumed by the company. Under the 2005 Plan, the aggregate number of shares available for option and other equity grants was limited to a total of 500,000 shares. The 2005 Plan expired on April 30, 2010, by its own terms, and no shares were available for grant thereafter.
Upon the completion of the business combination, all options outstanding under the 2009 Plan, the 2002 Plan and the 2005 Plan were converted into options to acquire the same number of shares of the company and at the same exercise price per share that applied prior to the business combination.
Exercise prices for options granted under the 20092021 Plan may not be less than the closing market price of the company’s ordinary shares on the date of grant and granted options may not be re-priced or exchanged without shareholder approval. Options granted under the 20092021 Plan subject only to time vesting requirements may become partially exercisable after a minimum of one year after the date of grant but may not become fully exercisable until at least three years have elapsed from the date of grant, and all options have a maximum duration of ten years. Options granted under predecessor plans had similar terms.
In connection with the business combination, on October 31, 2018 the company's Board of Directors adopted the Long Term Incentive Plan 2018 of Linde plc (“the LTIP 2018”), the purpose of which iswas to replace certain outstanding Linde AG equity based awards that were terminated. Under the LTIP 2018, the aggregate number of shares available for replacement option rights and replacement restricted share units was set at 473,128. As of December 31, 2019, 260,7942021, 285,113 shares remained available for grant, and since the company was obligated to make these replacement awards only in 2019, it does not anticipate anyno further grants will be made under this plan.
Exercise prices for the replacement option rights that were granted in 2019 under the LTIP 2018 were equal to EUR 1.67 ($1.92 as converted at an exchange rate from the time the exchange offer was completed as the option rights are exercisable in U.S. dollars on the NYSE) as prescribed in the business combination agreement. Each replacement option right granted under the LTIP 2018 is subject to vesting based on continued service until the end of the four-yearfour-year waiting period applicable to the relevant Linde AG award that had been granted before the business combination. After vesting, each option right will be exercisable for one year.
In order to satisfy option exercises and other equity grants, the company may issue authorized but previously unissued shares or it may issue treasury shares.
Stock Option Fair Value
The company utilizes the Black-Scholes Options-Pricing Model to determine the fair value of stock options consistent with that used in prior years. Management is required to make certain assumptions with respect to selected model inputs, including anticipated changes in the underlying stock price (i.e., expected volatility) and option exercise activity (i.e., expected life). Expected volatility is based on the historical volatility of the company’s stock over the most recent period commensurate with the estimated expected life of the company’s stock options and other factors. The expected life of options granted, which represents the period of time that the options are expected to be outstanding, is based primarily on historical exercise experience. The expected dividend yield is based on the company’s most recent history and expectation of dividend payouts. The risk-free rate is based on the U.S. Treasury yield curve in effect at the time of grant for a period commensurate with the estimated expected life. If factors change and result in different assumptions in future periods, the stock option

expense that the company records for future grants may differ significantly from what the company has recorded in the current period.
The weighted-average fair value of options granted during 20192021 was $37.80 ($17.37 in 2020 and $23.38 ($19.29 in 2018 and $12.40 in 2017)2019) based on the Black-Scholes Options-Pricing model. The increase in grant date fair value year-over-year is primarily attributable to the increase in the company's stock price. The weighted-average fair value of replacement option rights granted in 2019 was $160.08 based on intrinsic value method.
The following weighted-average assumptions were used to value the grants in 2019, 20182021, 2020 and 2017:2019: 
Year Ended December 31,2019 2018 2017
Dividend yield2.0% 2.1% 2.7%
Volatility14.3% 14.4% 14.0%
Risk-free interest rate2.38% 2.67% 2.13%
Expected term years6
 5
 6
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Year Ended December 31,202120202019
Dividend yield1.7 %2.2 %2.0 %
Volatility18.4 %15.8 %14.3 %
Risk-free interest rate1.10 %0.60 %2.38 %
Expected term years666
The following table summarizes option activity under the plans as of December 31, 20192021 and changes during the period then ended (averages are calculated on a weighted basis; life in years; intrinsic value expressed in millions): 
Activity
Number  of
Options
(000’s)
 
Average
Exercise
Price
 
Average
Remaining
Life
 
Aggregate
Intrinsic
Value
Outstanding at January 1, 201910,624
 $117.65
    
Granted1,486
 157.14
    
Exercised(2,705) 103.87
    
Cancelled or expired(108) 158.17
    
Outstanding at December 31, 20199,297
 $127.04
 6.0 $798
Exercisable at December 31, 20196,306
 $117.26
 5.0 $603

ActivityNumber  of
Options
(000’s)
Average
Exercise
Price
Average
Remaining
Life
Aggregate
Intrinsic
Value
Outstanding at January 1, 20218,067 $136.05 
Granted831 253.68 
Exercised(1,672)121.40 
Cancelled or expired(60)207.35 
Outstanding at December 31, 20217,166 $152.56 6.0$1,389 
Exercisable at December 31, 20215,297 $132.84 5.0$1,131 
The aggregate intrinsic value represents the difference between the company’s closing stock price of $212.90$346.43 as of December 31, 20192021 and the exercise price multiplied by the number of in the money options outstanding as of that date. The total intrinsic value of stock options exercised during 20192021 was $294 million ($264 million and $219 million ($113 millionin 2020 and $137 million in 2018 and 2017,2019, respectively).
Cash received from option exercises under all share-based payment arrangements for 20192021 was $50 million ($36 million and $64 million ($66 millionin 2020 and $107 million in 2018 and 2017,2019, respectively). The cash tax benefit realized from share-based compensation totaled $56$64 million for 20192021 ($3070 million and $51$56 million cash tax benefit in 20182020 and 2017,2019, respectively).
As of December 31, 2019, $322021, $17 million of unrecognized compensation cost related to non-vested stock options is expected to be recognized over a weighted-average period of approximately 1 year.
Performance-Based and Restricted Stock Awards
In 2019, Linde2021, the company granted 261,760187,830 performance-based stock awards under the 2009 Plan to senior management that vest, subject to the attainment of pre-established minimum performance criteria, principally on the third anniversary of their date of grant. These awards are tied to either after tax return on capital ("ROC") performance or relative total shareholder return ("TSR") performance versus that of the S&P 500 (weighted 67%) and Eurofirst 300 (weighted 33%). The actual number of shares issued in settlement of a vested award can range from zero to 200 percent of the target number of shares granted based upon the company’s attainment of specified performance targets at the end of a three-yearthree-year period. Compensation expense related to these awards is recognized over the three-year performance period based on the fair value of the closing market price of the company’s ordinary shares on the date of the grant and the estimated performance that will be achieved. Compensation expense for ROC awards will be adjusted during the three-year performance period based upon the estimated performance levels that will be achieved. TSR awards are measured at their grant date fair value and not subsequently re-measured.
The weighted-average fair value of ROC performance-based stock awards granted in 20192021 was $241.10 ( $161.56 in 2020 and $168.47 and during 2017 was $109.68.in 2019). These fair values are based on the closing market price of Linde's ordinary shares on the grant date adjusted for dividends that will not be paid during the vesting period. There were 0 ROC performance-based stock awards granted in 2018.

The weighted-average fair value of performance-based stock tied to relative TSR performance granted in 20192021 was $301.04 ($198.61 in 2020 and $215.85 and during 2017 was $124.12,in 2019) and was estimated using a Monte Carlo simulation performed as of the grant date. There were 0 performance-based stock tied to relative TSR performance granted in 2018.
Upon completion of the merger, each outstanding ROC and TSR performance-based award granted prior to 2018 was converted into a Linde RSU based on performance achieved as of immediately prior to the closing of the merger, and became subject to service-vesting conditions only. This resulted in the conversion of 435,000 performance-based shares into 704,000 restricted stock units. Compensation expense related to these awards will continue to be recognized over the remainder of the respective three-year service period.
There were 161,072175,597 restricted stock units granted to employees by Linde during 2019.2021. The weighted-average fair value of restricted stock units granted during 20192021 was $242.60 ($174.95 in 2020 and $165.04 ($144.86 in 2018 and $111.95 in 2017)2019). These fair values are based on the closing market price of Linde's ordinary shares on the grant date adjusted for dividends that will not be paid during the vesting period. Compensation expense related to the restricted stock units is recognized over the vesting period.
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The following table summarizes non-vested performance-based and restricted stock award activity as of December 31, 20192021 and changes during the period then ended (shares based on target amounts, averages are calculated on a weighted basis): 
  
Performance-BasedRestricted Stock
Number of
Shares
(000’s)
Average
Grant Date
Fair Value
Number of
Shares
(000’s)
Average
Grant Date
Fair Value
Non-vested at January 1, 2021437 $179.76 688 $148.56 
Granted188 262.56 176 242.60 
Vested— — (213)147.84 
Cancelled and Forfeited(15)221.70 (15)206.65 
Non-vested at December 31, 2021610 $204.39 636 $172.90 
  
Performance-Based Restricted Stock
 
Number of
Shares
(000’s)
 
Average
Grant Date
Fair Value
 
Number of
Shares
(000’s)
 
Average
Grant Date
Fair Value
Non-vested at January 1, 2019
 $
 1,071
 $118.84
Granted262
 184.29
 161
 165.04
Vested
 
 (330) 107.10
Cancelled and Forfeited(16) 184.26
 (18) 146.32
Non-vested at December 31, 2019246
 $184.29
 884
 $129.43
There are approximately 714 thousand performance-based shares and 1115 thousand restricted stock shares that are non-vested at December 31, 20192021 which will be settled in cash due to foreign regulatory limitations. The liability related to these grants reflects the current estimate of performance that will be achieved and the current share price.
As of December 31, 2019, $232021, $47 million of unrecognized compensation cost related to performance-based awards and $21$31 million of unrecognized compensation cost related to the restricted stock awards is expected to be recognized primarily through the first quarter of 2022.2024.

NOTE 18.16. RETIREMENT PROGRAMS
Defined Benefit Pension Plans - U.S.
The Linde has two main U.S. retirement programs whichplans are non-contributory defined benefit plans: the Linde U.S. Pension Planplans covering eligible employees and the CBI Pension Plan. The latter program benefits primarily former employees of CBI Industries, Inc. which Linde acquired in 1996.its participating affiliates. Effective July 1, 2002, the Linde U.S. Pension Plan was amended to give participating employees a one-time irrevocable choice to remain covered by the old formula or to elect coverage underbetween a new formula.traditional benefit (the “Traditional Design”) and an account-based benefit (the “Account-Based Design”). The old formula isTraditional Design pays a monthly benefit based predominantly on years of service age and average pay during the last years of the participant’s career with Linde. The Account-Based Design gives participants annual pay credits equal to 4% of eligible compensation, levels prior to retirement, whileplus interest credits based on long-term treasury rates on the new formula provides for an annual contribution to an individualaccumulated account which grows with interest each year at a predetermined rate. Also, thisbalance. This new formula applies to all new employees hired after April 30, 2002 into businesses adopting this plan. The U.S. and international pension plan assets are comprised of a diversified mix of investments, including domestic and international corporate equities, government securities and corporate debt securities. Linde has several plans that provide supplementary retirement benefits primarily to higher level employees that are unfunded and are nonqualified for federal tax purposes. Pension coverage for employees of certain of Linde’s internationalnon-U.S. subsidiaries generally is provided by those companies through separate plans. Obligations under such plans are primarily provided for through diversified investment portfolios, with some smaller plans provided for under insurance policies or by book reserves.

Defined Benefit Pension Plans - InternationalNon-U.S.
Linde has international,Non-U.S., defined benefit commitments primarily in Germany and the United Kingdom (U.K.).U.K that include pension plan assets comprised of a diversified mix of investments. The defined benefit commitments in Germany relate to old age pensions, invalidity pensions and surviving dependents pensions. These commitments also take into account vested rights for periods of service prior to January 1, 2002 based on earlier final-salary pension plan rules. In addition, there are direct commitments in respect of the salary conversion scheme for the form of cash balance plans. The resulting pension payments are calculated on the basis of an interest guarantee and the performance of the corresponding investment. There are no minimum funding requirements. The pension obligations in Germany are partly funded by a Contractual Trust Agreement (CTA). Defined benefit commitments in the U.K. prior to July 1, 2003 are earnings-related and dependent on the period of service. Such commitments relate to old age pensions, invalidity pensions and surviving dependents pensions. Beginning in April 1, 2011, the amount of future increases in inflation-linked pensions and of increases in pensionable emoluments was restricted.
Multi-employer Pension Plans
In the United States Linde participates in 8 multi-employer defined benefit pension plans ("MEPs"), pursuant to the terms of collective bargaining agreements, that cover approximately 200 union-represented employees. The collective
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bargaining agreements expire on different dates through 2026. In connection with such agreements, the company is required to make periodic contributions to the MEPs in accordance with the terms of the respective collective bargaining agreements. Linde’s participation in these plans is not material either at the plan level or in the aggregate. Linde’s contributions to these plans were $2 million in 2019, 2018, and 2017 (these costs are not included in the tables that follow). For all MEPs, Linde’s contributions were significantly less than 1% of the total contributions to each plan for 20182020 and 2017.2019. Total 2019 contributions2021 contributions were not yet available from the MEPs.
Linde has obtained the most recently available Pension Protection Act ("PPA") annual funding notices from the Trustees of the MEPs. The PPA classifies MEPs as either Red, Yellow or Green Zone plans. Among other factors, plans in the Red Zone are generally less than 65 percent funded with a projected insolvency date within the next twenty years; plans in the Yellow Zone are generally 65 to 80 percent funded; and plans in the Green Zone are generally at least 80 percent funded.As of December 31, 2021, there were 4 Red Zone plans, are considereddeemed to be in "critical" or "critical and declining" status while Yellow Zone plans are considered to be in "endangered" status. Plans that are in neither "critical" nor "endangered" status are considered to have Green Zone status. According to the most recent data available, 4 of the MEPs that the company participates in are in a Red Zone status and 4 are in a Green Zone status. As of December 31, 2019, the four Red Zone plans have pending or have implemented financial improvement or rehabilitation plans. Linde does not currently anticipate significant future obligations due to the funding status of these plans.plans and such obligation would be immaterial. If LindeLinde determined it was probable that it would withdraw from an MEP, the company would record a liability for its portion of the MEP’s unfunded pension obligations, as calculated at that time. Historically, such withdrawal payments have not been significant.
Defined Contribution Plans
Linde’s U.S. business employees are eligible to participate in the Linde defined contribution savings plan. Employees may contribute up to 40% ofplans offered by their compensation,applicable business. Employee contribution percentages vary by plan and are subject to the maximum allowable by IRS regulations. For the U.S. packaged gases business, company contributions to this plan are calculated as a percentage of salary based on age plus service. U.S. employees other than those in the packaged gases business have company contributions to this plan calculated on a graduated scale based on employee contributions to the plan. Theregulations.The cost for these defined contribution plans was $51 million in 2021, $46 million in 2020 and $47 million in 2019 $33 million in 2018 and $29 million in 2017 (these costs are not included in the tables that follow).

The defined contribution plans include a non-leveraged employee stock ownership plan ("ESOP") which covers all employees participating in this plan. The collective number of shares of Linde ordinary shares in the ESOP totaled 2,070,1001,761,608 at December 31, 2019.2021.
Certain internationalnon-U.S. subsidiaries of the company also sponsor defined contribution plans where contributions are determined under various formulas. The expense for these plans was $101 million in 2021, $106 million in 2020 and $95 million in 2019 $32 million in 2018 and $21 million in 2017 (these expenses are not included in the tables that follow).
Postretirement Benefits Other Than Pensions (OPEB)
Linde provides health care and life insurance benefits to certain eligible retired employees. These benefits are provided through various insurance companies and healthcare providers. The company does not currently fund its postretirement benefits obligations. Linde’s retiree plans may be changed or terminated by Linde at any time for any reason with no liability to current or future retirees.
Linde uses a measurement date of December 31 for its pension and other post-retirement benefit plans.
Pension and Postretirement Benefit Costs
The components of net pension and postretirement benefits other than pension ("OPEB") costs for 2019, 20182021, 2020 and 20172019 are shown in the table below (2018 reflects the impact of the Linde AG merger on October 31, 2018 (see Notes 1 and 3) and the divestiture of Praxair's European industrial gases business on December 3, 2018 (see Notes 1 and 4)):below: 
(Millions of dollars)
Year Ended December 31,
Pensions OPEB
2019 2018 2017 2019 2018 2017
Amount recognized in Operating Profit           
     Service cost$142
 $74
 $46
 $2
 $2
 $3
Amount recognized in Net pension and OPEB cost (benefit), excluding service cost           
     Interest cost261
 128
 103
 7
 5
 5
     Expected return on plan assets(462) (219) (161) 
 
 
     Net amortization and deferral61
 71
 68
 (4) (3) (3)
     Curtailment and termination benefits (a)8
 
 
 
 
 (18)
     Settlement charges (b)97
 14
 2
 
 
 
 $(35) $(6) $12
 $3
 $2
 $(16)
Amount recognized in Net gain on sale of businesses           
     Settlement gains from divestitures (c)
 (44) 
 
 
 
Net periodic benefit cost (benefit)$107
 $24
 $58
 $5
 $4
 $(13)

(Millions of dollars)
Year Ended December 31,
PensionsOPEB
202120202019202120202019
Amount recognized in Operating Profit
     Service cost$155 $150 $142 $$$
Amount recognized in Net pension and OPEB cost (benefit), excluding service cost
     Interest cost151 208 261 
     Expected return on plan assets(521)(482)(462)— — — 
     Net amortization and deferral176 90 61 (5)(4)(4)
     Curtailment and termination benefits (a)— — — — — 
     Settlement charges (b)97 — — — 
$(190)$(178)$(35)$(2)$$
Net periodic benefit cost (benefit)$(35)$(28)$107 $— $$
(a) In 2019, Linde recorded curtailment gains of $9 million and a charge of $17 million for termination benefits, primarily in connection with a defined benefit pension plan freeze. The curtailment gain recorded during the year ended December 31, 2017 resulted from the termination of an OPEB plan in South America in the first quarter.
(b) In the third and fourth quarters of 2019, Linde recorded a pension settlement chargescharge of $40$4 million and $6 million respectively, related toduring the third quarter of 2021 and 2020, respectively. Settlement charges were triggered by lump sum benefit payments made from a U.S. qualifiednon-qualified plan. These payments were triggered by merger-related divestitures.
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In the first quarter of 2019, benefits of $91 million were paid related to the settlement of a U.S. non-qualified plan. Such benefits were triggered by a change in control provision and resulted in a settlement charge of $51 million.
2018 includes the impact of a $4 million charge and a $10 million charge recorded in In the third and fourth quarters respectively. In the third quarter, a series of 2019, Linde recorded pension settlement charges of $40 million and $6 million, respectively, related to lump sum benefit payments made from the U.S. supplemental pension plan triggered a settlement of the related pension obligation. In the fourth quarter, a change in control provision triggered the settlement of a U.S. non-qualifiedqualified plan.
2017 includes the impact of a $2 million charge related to a series of lump sum benefit These payments for employees under an international pension plan.
(c) In connection with Praxairwere triggered by merger-related divestitures, primarily the European industrial gases business, certain European pension plan obligations were settled. This resulted in the recognition of associated pension benefit obligations and deferred losses in accumulated other comprehensive income (loss) within operating profit in the "Net gain on sale of businesses" line item.

divestitures.
Funded Status
Changes in the benefit obligation and plan assets for Linde’s pension and OPEB programs, including reconciliation of the funded status of the plans to amounts recorded in the consolidated balance sheet, as of December 31, 20192021 and 20182020 are shown below. 


(Millions of dollars)
Year Ended December 31,
Pensions  
2019 2018 OPEB
U.S. International U.S. International 2019 2018
Change in Benefit Obligation ("PBO")           
Benefit obligation, January 1$2,508
 $7,533
 $2,215
 $725
 $184
 $146
Merger impact (a)
 
 415
 6,920
 
 53
Service cost38
 104
 42
 32
 2
 2
Interest cost81
 180
 74
 54
 7
 5
Divestitures (b)(1) 
 
 (106) 
 
Participant contributions
 20
 
 4
 8
 9
Plan amendment
 13
 
 1
 
 
Actuarial loss (gain)266
 1,045
 (100) 7
 8
 (11)
Benefits paid(105) (333) (111) (84) (20) (19)
Plan settlement(235) 
 (27) 
 
 
Plan curtailment
 (9) 
 
 2
 
Foreign currency translation and other changes
 136
 
 (20) 1
 (1)
Benefit obligation, December 31$2,552
 $8,689
 $2,508
 $7,533
 $192
 $184
Accumulated benefit obligation ("ABO")$2,464
 $8,553
 $2,428
 $7,385
    
Change in Plan Assets           
Fair value of plan assets, January 1$1,952
 $6,292
 $1,655
 $567
 $
 $
Merger impact (a)
 
 475
 5,880
 
 
Actual return on plan assets341
 598
 (72) (88) 
 
Company contributions
 94
 
 75
 
 
Benefits paid from plan assets(244) (268) (106) (69) 
 
Divestitures (b)(1) 
 
 (49) 
 
Foreign currency translation and other changes
 172
 
 (24) 
 
Fair value of plan assets, December 31$2,048
 $6,888
 $1,952
 $6,292
 $
 $
Funded Status, End of Year$(504) $(1,801) $(556) $(1,241) $(192) $(184)
Recorded in the Balance Sheet (Note 9)           
Other long-term assets$
 $78
 $47
 $93
 $
 $
Other current liabilities(6) (10) (94) (10) (11) (13)
Other long-term liabilities(498) (1,869) (509) (1,324) (181) (171)
Net amount recognized, December 31$(504) $(1,801) $(556) $(1,241) $(192) $(184)
Amounts recognized in accumulated other comprehensive income (loss) consist of:           
Net actuarial loss (gain)$753
 $1,110
 $834
 $339
 $(10) $(23)
Prior service cost (credit)
 4
 
 10
 (4) (5)
Deferred tax benefit (Note 7)(190) (251) (212) (87) (5) 7
Amount recognized in accumulated other comprehensive income (loss) (Note 9)$563
 $863
 $622
 $262
 $(19) $(21)
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(a) Represents Linde AG plan assets and benefit obligations assumed as part
(Millions of dollars)
Year Ended December 31,
Pensions 
20212020OPEB
U.S.Non-U.S.U.S.Non-U.S.20212020
Change in Benefit Obligation ("PBO")
Benefit obligation, January 1$2,746 $9,987 $2,552 $8,689 $172 $192 
Service cost37 118 37 113 
Interest cost46 105 68 140 
Divestitures— (13)— — — — 
Participant contributions— 19 — 18 11 11 
Plan amendment— — — — (13)
Actuarial loss (gain)(94)(209)250 893 (8)(2)
Benefits paid(145)(331)(152)(320)(23)(22)
Plan settlement(7)(13)(9)(14)— — 
Plan curtailment— — — (1)— — 
Foreign currency translation and other changes— (286)— 462 — (1)
Benefit obligation, December 31$2,583 $9,377 $2,746 $9,987 $157 $172 
Accumulated benefit obligation ("ABO")$2,503 $9,278 $2,646 $9,830 
Change in Plan Assets
Fair value of plan assets, January 1$2,310 $7,653 $2,048 $6,888 $— $— 
Actual return on plan assets281 728 386 641 — — 
Company contributions042 25 66 — — 
Participant contributions— 19 — 18 — — 
Benefits paid from plan assets(143)(272)(149)(267)— — 
Divestitures— (14)— — — — 
Foreign currency translation and other changes— (188)— 307 — — 
Fair value of plan assets, December 31$2,448 $7,968 $2,310 $7,653 $— $— 
Funded Status, End of Year$(135)$(1,409)$(436)$(2,334)$(157)$(172)
Recorded in the Balance Sheet (Note 7)
Other long-term assets$15 $124 $$53 $— $— 
Other current liabilities(12)(12)(9)(13)(14)(12)
Other long-term liabilities(138)(1,521)(429)(2,374)(143)(160)
Net amount recognized, December 31$(135)$(1,409)$(436)$(2,334)$(157)$(172)
Amounts recognized in accumulated other comprehensive income (loss) consist of:
Net actuarial loss (gain)$383 $1,075 $687 $1,766 $(16)$(11)
Prior service cost (credit)— — (13)(15)
Deferred tax benefit (Note 7)(96)(217)(182)(383)
Amount recognized in accumulated other comprehensive income (loss) (Note 7)$287 $864 $505 $1,392 $(21)$(21)
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Table of the merger. Such plan assets and benefit obligations were remeasured as of the merger date and all subsequent activity through December 31, 2018 is presented within the respective captions above.Contents
(b) Represents plan assets and benefit obligations associated with the divestiture of the majority of the Praxair industrial gases business in Europe.
Comparative funded status information as of December 31, 20192021 and 20182020 for select internationalnon-U.S. pension plans is presented in the table below as the benefit obligations of these plans are considered to be significant relative to the total benefit obligation:
 United KingdomGermanyOther Non-U.S.Total Non-U.S.
(Millions of dollars)2021202120212021
Benefit obligation, December 31$5,879 $2,240 $1,258 $9,377 
Fair value of plan assets, December 315,577 1,359 1,032 7,968 
Funded Status, End of Year$(302)$(881)$(226)$(1,409)
 United KingdomGermanyOther Non-U.S.Total Non-U.S.
(Millions of dollars)2020202020202020
Benefit obligation, December 31$6,012 $2,582 $1,393 $9,987 
Fair value of plan assets, December 315,355 1,258 1,040 7,653 
Funded Status, End of Year$(657)$(1,324)$(353)$(2,334)
 United Kingdom Germany Other International Total International
(Millions of dollars)2019 2019 2019 2019
Benefit obligation, December 31$5,221
 $2,180
 $1,288
 $8,689
Fair value of plan assets, December 314,777
 1,119
 992
 6,888
Funded Status, End of Year$(444) $(1,061) $(296) $(1,801)
        
 United Kingdom Germany Other International Total International
(Millions of dollars)2018 2018 2018 2018
Benefit obligation, December 31$4,444
 $1,916
 $1,173
 $7,533
Fair value of plan assets, December 314,339
 1,043
 910
 6,292
Funded Status, End of Year$(105) $(873) $(263) $(1,241)
The changes in plan assets and benefit obligations recognized in other comprehensive income in 20192021 and 2018 are as follows:
 Pensions OPEB
(Millions of dollars)2019 2018 2019 2018
Current year net actuarial losses (gains)*$834
 $286
 $8
 $(11)
Amortization of net actuarial gains (losses)(59) (70) 3
 2
Divestitures
 (12) 
 
Plan amendment(4) 
 
 
Amortization of prior service credits (costs)(2) (1) 1
 1
Pension settlements(97) (14) 
 
Curtailments
 
 2
 
Foreign currency translation and other changes12
 (16) 
 1
Total recognized in other comprehensive income$684
 $173
 $14
 $(7)
________________________
 *Pension net actuarial losses in 2019 are largely driven by lower discount rates across all significant pension plans. In the U.S., the benefit from the actual return on assets more than offset the impacts of unfavorable liability experience, resulting from the low discount rate environment. For the international plans, the unfavorable impact of lower discount rates outweighed favorable plan asset experience. Pension net actuarial losses in 2018 are driven by lower U.S. discount rates, which more than offset favorable plan asset experience. OPEB net actuarial losses in 2019 relate to the low interest rate environment, which was partially offset by favorable actual benefit payment experience. Net actuarial gains in 2018 relate to the benefits from higher U.S. discount rates and favorable actual participant experience.
The amounts in accumulated other comprehensive income (loss) that are expected to be recognized as components of net periodic benefit cost during 2020 are as follows:
 PensionsOPEB
(Millions of dollars)2021202020212020
Current year net actuarial losses (gains)*$(779)$598 $(8)$(2)
Amortization of net actuarial gains (losses)(173)(89)
Plan amendment— — (13)
Amortization of prior service credits (costs)(3)(1)
Pension settlements(4)(6)— — 
Curtailments— (1)— — 
Foreign currency translation and other changes(39)87 — (1)
Total recognized in other comprehensive income$(998)$595 $(3)$(12)
________________________
 *    Pension net actuarial gains in 2021 are largely driven by an increase in the actual return on assets during the year and favorability generated from a lower PBO due to an increase in discount rates. In 2020, the low discount rate environment resulted in actuarial losses from a higher PBO and outweighed favorable plan asset experience for both the non-U.S. and U.S. plans.
(Millions of dollars)Pension OPEB
Net actuarial loss (gain)$88
 $(2)
Prior service cost (credit)2
 (1)
 $90
 $(3)


The following table provides information for pension plans where the accumulated benefit obligation exceeds the fair value of the plan assets:
(Millions of dollars)
Year Ended December 31,
Pensions
20212020
U.S.Non-U.S.U.S.Non-U.S.
Accumulated benefit obligation ("ABO")$2,387 $8,404 $2,518 $8,694 
Fair value of plan assets$2,317 $6,947 $2,180 $6,254 
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(Millions of dollars)
Year Ended December 31,
Pensions
2019 2018
U.S. International U.S. International
Projected benefit obligation ("PBO")$2,552
 $7,768
 $2,139
 $6,681
Accumulated benefit obligation ("ABO")$2,464
 $7,664
 $2,060
 $6,586
Fair value of plan assets$2,048
 $5,849
 $1,482
 $5,307
The following table provides information for pension plans where the projected benefit obligation exceeds the fair value of plan assets:
(Millions of dollars)
Year Ended December 31,
Pensions
20212020
U.S.Non-U.S.U.S.Non-U.S.
Projected benefit obligation ("PBO")$2,467 $8,499 $2,618 $8,845 
Fair value of plan assets$2,317 $6,964 $2,180 $6,282 

Assumptions
The assumptions used to determine benefit obligations are as of the respective balance sheet dates and the assumptions
used to determine net benefit cost are as of the previous year-end, as shown below:
Pensions     Pensions  
U.S. International OPEB U.S.Non-U.S.OPEB
2019 2018 2019 2018 2019 2018 202120202021202020212020
Weighted average assumptions used to determine benefit obligations at December 31,           Weighted average assumptions used to determine benefit obligations at December 31,
Discount rate3.20% 4.20% 1.91% 2.72% 3.19% 4.16%Discount rate2.78 %2.40 %1.82 %1.36 %2.85 %2.39 %
Interest crediting rateInterest crediting rate2.06 %1.57 %1.03 %1.01 %N/AN/A
Rate of increase in compensation levels3.25% 3.25% 2.46% 2.38% N/A
 N/A
Rate of increase in compensation levels3.25 %3.25 %2.55 %2.55 %N/AN/A
Weighted average assumptions used to determine net periodic benefit cost for years ended December 31,           Weighted average assumptions used to determine net periodic benefit cost for years ended December 31,
Discount rate4.20% 3.73% 2.72% 2.73% 4.16% 3.81%Discount rate2.40 %3.20 %1.36 %1.91 %2.39 %3.19 %
Interest crediting rateInterest crediting rate1.57 %2.19 %1.01 %1.08 %N/AN/A
Rate of increase in compensation levels3.25% 3.25% 2.38% 2.45% N/A
 N/A
Rate of increase in compensation levels3.25 %3.25 %2.55 %2.46 %N/AN/A
Expected long-term rate of return on plan assets (1)7.27% 7.62% 5.15% 5.13% N/A
 N/A
Expected long-term rate of return on plan assets (1)7.00 %7.00 %5.28 %5.31 %N/AN/A
________________________
(1)
(1)The expected long term rate of return on the U.S. and international plan assets is estimated based on the plans' investment strategy and asset allocation, historical capital market performance and, to a lesser extent, historical plan performance. For the U.S. plans, the expected rate of return of 7.27% was derived based on the target asset allocation of 40%-60% equity securities (approximately 8.5% expected return), 30%-50% fixed income securities (approximately 5.3% expected return) and 5%-15% alternative investments (approximately 6.8% expected return). For the international plans, the expected rate of return was derived based on the weighted average target asset allocation of 15%-25% equity securities (approximately 6.1% expected return), 30%-50% fixed income securities (approximately 4.8% expected return), and 30%-50% alternative investments (approximately 5.2% expected return). For the U.S. plan assets, the actual annualized total return for the most recent 10-year period ended December 31, 2019 was approximately 9.2%. For the international plan assets, the actual annualized total return for the same period was approximately 7.0%. Changes to plan asset allocations and investment strategy over this time period limit the value of historical plan performance as factor in estimating the expected long term rate of return. For 2020, the expected long-term rate of return on plan assets will be 7.00% for the U.S. plans. Expected weighted average returns for international plans will vary.

 OPEB
Assumed healthcare cost trend rates2019 2018
Historical Praxair, Inc. plans   
Healthcare cost trend assumed7.00% 6.25%
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)5.00% 5.00%
Year that the rate reaches the ultimate trend rate2027
 2023
Historical Linde AG plans   
Healthcare cost trend assumed5.49% 5.49%
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)4.50% 4.50%
Year that the rate reaches the ultimate trend rate2038
 2038

These healthcare cost trend rate assumptions have an impact on the amounts reported. However, cost capsU.S. and non-U.S. plan assets is estimated based on the plans' investment strategy and asset allocation, historical capital market performance and, to a lesser extent, historical plan performance. For the U.S. plans, the expected rate of return of 7.00% was derived based on the target asset allocation of 40%-60% equity securities (approximately 7.7% expected return), 30%-50% fixed income securities (approximately 5.4% expected return) and 5%-15% alternative investments (approximately 6.3% expected return). For the non-U.S. plans, the expected rate of return was derived based on the weighted average target asset allocation of 15%-25% equity securities (approximately 6.4% expected return), 30%-50% fixed income securities (approximately 5.2% expected return), and 30%-50% alternative investments (approximately 5% expected return). For the U.S. plan assets, the actual annualized total return for the most recent 10-year period ended December 31, 2021 was approximately 10.8%. For the non-U.S. plan assets, the actual annualized total return for the same period was approximately 9.0%. Changes to plan asset allocations and investment strategy over this time period limit the impactvalue of historical plan performance as a factor in estimating the expected long term rate of return. For 2022, the expected long-term rate of return on the net OPEB benefit cost inplan assets will be 7.00% for the U.S. To illustrateplans. For 2022, the effect, a one-percentage point change in assumed healthcare
cost trend rates would have the following effects:
 One-Percentage Point
(Millions of dollars)Increase Decrease
Effect on the total of service and interest cost components of net OPEB benefit cost$
 $
Effect on OPEB benefit obligation$7
 $(6)

expected weighted average long-term rate of return for non-U.S. plans will be 5.54%.

 OPEB
Assumed healthcare cost trend rates20212020
Healthcare cost trend assumed7.00 %6.50 %
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)5.00 %5.00 %
Year that the rate reaches the ultimate trend rate20302027
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Pension Plan Assets

The investments of the U.S. pension plan are managed to meet the future expected benefit liabilities of the plan over the long term by investing in diversified portfolios consistent with prudent diversification and historical and expected capital market returns. Investment strategies are reviewed by management and investment performance is tracked against appropriate benchmarks. There are no concentrations of risk as it relates to the assets within the plans. The internationalnon-U.S. pension plans are managed individually based on diversified investment portfolios, with different target asset allocations that vary for each plan. Linde’s U.S. and international pension plans’ weighted-averageWeighted-average asset allocations at December 31, 20192021 and 2018,2020 for Linde’s U.S. and the targetnon-U.S. pension plans, as well as respective asset allocation range for 2019,ranges by major asset category, are generally as follows: 
 U.S. International
Asset CategoryTarget 2019 Target 2018 2019 2018 Target 2019 Target 2018 2019 2018
Equity securities40%-60% 40%-60% 55% 48% 15%-25% 15%-25% 23% 20%
Fixed income securities30%-50% 30%-50% 30% 40% 30%-50% 30%-50% 41% 46%
Other5%-15% 5%-15% 15% 13% 30%-50% 30%-40% 36% 34%












 U.S.Non-U.S.
Asset CategoryTarget 2021Target 202020212020Target 2021Target 202020212020
Equity securities40%-60%40%-60%66 %66 %15%-25%15%-25%27 %27 %
Fixed income securities30%-50%30%-50%25 %27 %30%-50%30%-50%35 %34 %
Other5%-15%5%-15%%%30%-50%30%-50%38 %39 %

The following table summarizes pension assets measured at fair value by asset category at December 31, 20192021 and 2018. During2020. For the years presented, there has been no transfertwelve months ended December 31, 2021, transfers of assets between Levels 1, 2were not material. For the twelve months ended December 31, 2020, transfers of assets of $15 million into Level 3 include insurance contract and 3 (seereal estate investments of $11 million and $4 million, respectively, which were reclassified as there is no active market quotation available. See Note 1513 for the definition of levels within the levels):fair value hierarchy:
 Fair Value Measurements Using    
 Level 1 Level 2 Level 3 ** Total
(Millions of dollars)2019 2018 2019 2018 2019 2018 2019 2018
Cash and cash equivalents$436
 $348
 $
 $
 $
 $
 $436
 $348
Equity securities:               
Global equities1,395
 1,131
 
 
 
 
 1,395
 1,131
Mutual funds110
 74
 52
 43
 
 
 162
 117
Fixed income securities:               
Government bonds
 
 1,642
 1,772
 
 
 1,642
 1,772
Emerging market debt
 
 459
 522
 
 
 459
 522
Mutual funds225
 109
 14
 21
 
 
 239
 130
Corporate bonds
 
 401
 382
 
 
 401
 382
Bank loans
 
 210
 313
 
 
 210
 313
Alternative investments:               
Real estate funds
 
 
 
 316
 298
 316
 298
Private debt
 
 
 
 1,003
 671
 1,003
 671
Other investments
 
 33
 33
 
 
 33
 33
Liquid alternative
 
 1,087
 1,192
 
 
 1,087
 1,192
Total plan assets at fair value,
December 31,
$2,166
 $1,662
 $3,898
 $4,278
 $1,319
 $969
 $7,383
 $6,909
Pooled funds *            1,553
 1,335
Total fair value plan assets
December 31,
            $8,936
 $8,244

 Fair Value Measurements Using  
 Level 1Level 2Level 3 **Total
(Millions of dollars)20212020202120202021202020212020
Cash and cash equivalents$259 $524 $— $— $— $— $259 $524 
Equity securities:
Global equities1,633 1,974 — — — — 1,633 1,974 
Mutual funds314 324 — — — — 314 324 
Fixed income securities:
Government bonds— — 1,624 1,545 — — 1,624 1,545 
Emerging market debt— — 509 520 — — 509 520 
Mutual funds121 123 12 12 — — 133 135 
Corporate bonds— — 647 573 — — 647 573 
Bank loans— — 253 242 — — 253 242 
Alternative investments:
Real estate funds— — — — 360 335 360 335 
Private debt— — — 01,368 1,120 1,368 1,120 
Insurance contracts— — — — 12 11 12 11 
Liquid alternative— — 1,193 1,083 — — 1,193 1,083 
Other investments— 58 60 — — 59 60 
Total plan assets at fair value,
December 31,
$2,328 $2,945 $4,296 $4,035 $1,740 $1,466 $8,364 $8,446 
Pooled funds *2,052 1,517 
Total fair value plan assets
December 31,
$10,416 $9,963 
* Pooled funds are measured using the net asset value ("NAV") as a practical expedient for fair value as permissible under the accounting standard for fair value measurements and have not been categorized in the fair value hierarchy.
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** The following table summarizes changes in fair value of the pension plan assets classified as level 3 for the periods ended December 31, 20192021 and 2018:2020: 
(Millions of dollars)
Insurance
Contracts
 Real Estate Funds Private Debt Total
Balance, December 31, 2017$50
 $158
 $
 $208
Assumed in Linde AG merger
 148
 667
 815
Gain/(Loss) for the period
 9
 4
 13
Merger-related divestitures(49) 
 
 (49)
Sales
 (17) 
 (17)
Foreign currency translation(1) 
 
 (1)
Balance, December 31, 2018$
 $298
 $671
 $969
Gain/(Loss) for the period
 24
 30
 54
Acquisitions
 
 14
 14
Purchases
 26
 304
 330
Sales
 (22) (33) (55)
Transfer into / (out of) Level 3
 (10) 
 (10)
Foreign currency translation
 
 17
 17
Balance, December 31, 2019$
 $316
 $1,003
 $1,319

(Millions of dollars)Insurance ContractsReal Estate FundsPrivate DebtTotal
Balance, December 31, 2019$— $316 $1003 $1319 
Gain/(Loss) for the period— (10)(6)
Purchases— 21 137 158 
Sales— (10)(69)(79)
Transfer into/ (out of) Level 311 — 15 
Foreign currency translation— 14 45 59 
Balance, December 31, 202011 335 1,120 1,466 
Gain/(Loss) for the period27 28 56 
Purchases— 13 289 302 
Sales— (4)(42)(46)
Transfer into / (out of) Level 3(1)— — 
Foreign currency translation(1)(10)(27)(38)
Balance, December 31, 2021$12 $360 $1,368 $1,740 
The descriptions and fair value methodologies for the company's pension plan assets are as follows:

Cash and Cash Equivalents – This category includes cash and short-term interest bearing investments with maturities of three months or less. Investments are valued at cost plus accrued interest. Cash and cash equivalents are classified within level 1 of the valuation hierarchy.
Equity Securities – This category is comprised of shares of common stock in U.S. and internationalnon-U.S. companies from a diverse set of industries and size. Common stock is valued at the closing market price reported on a U.S. or internationalnon-U.S. exchange where the security is actively traded. Equity securities are classified within level 1 of the valuation hierarchy.
Mutual Funds – These categories consist of publicly and privately managed funds that invest primarily in marketable equity and fixed income securities. The fair value of these investments is determined by reference to the net asset value of the underlying securities of the fund. Shares of publicly traded mutual funds are valued at the net asset value quoted on the exchange where the fund is traded and are primarily classified as level 1 within the valuation hierarchy.
Emerging Market Debt - This category includes fixed income debt issued by countries with developing economies as well as by corporations within those nations. They typically have higher yields but lower credit ratings relative to developed country corporate and government bonds. The fair values for these investments are classified as level 2 within the valuation hierarchy.
U.S. and InternationalNon-U.S. Government Bonds – This category includes U.S. treasuries, U.S. federal agency obligations and internationalnon-U.S. government debt. The majority of these investments do not have quoted market prices available for a specific government security and so the fair value is determined using quoted prices of similar securities in active markets and is classified as level 2 within the valuation hierarchy.
Corporate Bonds – This category is comprised of corporate bonds of U.S. and internationalnon-U.S. companies from a diverse set of industries and size. The fair values for U.S. and internationalnon-U.S. corporate bonds are determined using quoted prices of similar securities in active markets and observable data or broker or dealer quotations. The fair values for these investments are classified as level 2 within the valuation hierarchy.
Pooled Funds - Pooled fund NAVs are provided by the trustee and are determined by reference to the fair value of the underlying securities of the trust, less its liabilities, which are valued primarily through the use of directly or indirectly observable inputs. Depending on the pooled fund, underlying securities may include marketable equity securities or fixed income securities.
Bank Loans - This category is comprised of traded syndicated loans of larger corporate borrowers. Such loans are issued by sub-investment grade rated companies both in the U.S. and internationally and are syndicated by investment banks to institutional investors. They are regularly traded in an active dealer market comprised of large investment banks, which supply bid and offer quotes and are therefore classified within level 2 of the valuation hierarchy.
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Liquid Alternative Investments - This category is comprised of investments in alternative mutual funds whose holdings include liquid securities, cash, and derivatives. Such funds focus on diversification and employ a variety of investing strategies including long/short equity, multi-strategy, and global macro. The fair value of these investments is determined by reference to the net asset value of the underlying holdings of the fund, which can be determined using observable data (e.g., indices, yield curves, quoted prices of similar securities), and is classified within level 2 of the valuation hierarchy.
Insurance ContractsThis category is comprised of purchased annuity insurance contracts (annuity contract buy-ins) and is intended to mitigate the Company's exposure to certain risks, such as longevity risk. The fair value of insurance contracts is determinedcalculated based on the cash surrender value of the purchased annuity insurance contract, which is determined based on such factors as the fair value of the underlying assets and discounted cash flows. These contracts are with highly rated insurance companies. Insurance contracts are classified within level 3 of the valuation hierarchy.
Real Estate Funds – This category includes real estate properties, partnership equities and investments in operating companies. The fair value of the assets is determined using discounted cash flows by estimating an income stream for the property plus a reversion into a present value at a risk adjusted rate. Yield rates and growth assumptions utilized are derived from market transactions as well as other financial and industry data. The fair value for these investments are classified within level 3 of the valuation hierarchy.
Private Debt - This category includes non-traded, privately-arranged loans between one or a small group of private debt investment managers and corporate borrowers, which are typically too small to access the syndicated market and have no credit rating. This category also includes similar loans to real estate companies or individual properties. Loans included in this category are valued at par value, are held to maturity or to call, and are classified within level 3 of the valuation hierarchy.
Contributions
At a minimum, Linde contributes to its pension plans to comply with local regulatory requirements (e.g., ERISA in the United States). Discretionary contributions in excess of the local minimum requirements are made based on many factors, including long-term projections of the plans' funded status, the economic environment, potential risk of overfunding, pension insurance costs and alternative uses of the cash. Changes to these factors can impact the timing of discretionary contributions from year to year. Pension contributions were $42 million in 2021, $91 million in 2020 and $94 million in 2019, $87 million in 2018 and $19 million in 2017.2019. Estimated required contributions for 20202022 are currently expected to be in the range of $50$40 million to $80$50 million.


Estimated Future Benefit Payments
The following table presents estimated future benefit payments, net of participant contributions: 
(Millions of dollars)Pensions 
Year Ended December 31,U.S.    Non-U.S.OPEB    
2022$183 $348 $14 
2023155 346 11 
2024149 357 11 
2025152 366 10 
2026150 388 
2027-2031763 1,952 41 
(Millions of dollars)Pensions  
Year Ended December 31,U.S.     International OPEB    
2020$187
 $311
 $15
2021143
 323
 14
2022164
 335
 14
2023147
 342
 14
2024149
 352
 12
2025-2029760
 879
 55
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NOTE 19.17. COMMITMENTS AND CONTINGENCIES
The company accrues non income-tax liabilities for contingencies when management believes that a loss is probable and the amounts can be reasonably estimated, while contingent gains are recognized only when realized. In the event any losses are sustained in excess of accruals, they will be charged against income at that time. Attorney fees are recorded as incurred. Commitments represent obligations, such as those for future purchases of goods or services, that are not yet recorded on the company’s balance sheet as liabilities. The company records liabilities for commitments when incurred (i.e., when the goods or services are received).
Contingent Liabilities
Linde is subject to various lawsuits and government investigations that arise from time to time in the ordinary course of business. These actions are based upon alleged environmental, tax, antitrust and personal injury claims, among others. Linde has strong defenses in these cases and intends to defend itself vigorously. It is possible that the company may incur losses in connection with some of these actions in excess of accrued liabilities. Management does not anticipate that in the aggregate such losses would have a material adverse effect on the company’s consolidated financial position or liquidity; however, it is possible that the final outcomes could have a significant impact on the company’s reported results of operations in any given period.
Significant matters are:
During May 2009, the Brazilian government published Law 11941/2009 instituting a new voluntary amnesty program (“Refis Program”) which allowed Brazilian companies to settle certain federal tax disputes at reduced amounts. During the 2009, third quarter, the company decided that it was economically beneficial to settle many of its outstanding federal tax disputes and such disputes were enrolled in the Refis Program, subject to final calculation and review by the Brazilian federal government. The company recorded estimated liabilities based on the terms of the Refis Program. Since 2009, Linde has been unable to reach final agreement on the calculations and initiated litigation against the government in an attempt to resolve certain items. Open issues relate to the following matters: (i) application of cash deposits and net operating loss carryforwards to satisfy obligations and (ii) the amount of tax reductions available under the Refis Program. It is difficult to estimate the timing of resolution of legal matters in Brazil.
At December 31, 20192021 the most significant non-income and income tax claims in Brazil, after enrollment in the Refis Program, relate to state VAT tax matters and a federal income tax matter where the taxing authorities are challenging the tax rate that should be applied to income generated by a subsidiary company. The total estimated exposure relating to such claims, including interest and penalties, as appropriate, is approximately $260$200 million. Linde has not recorded any liabilities related to such claims based on management judgments, after considering judgments and opinions of outside counsel. Because litigation in Brazil historically takes many years to resolve, it is very difficult to estimate the timing of resolution of these matters; however, it is possible that certain of these matters may be resolved within the near term. The company is vigorously defending against the proceedings.
On September 1, 2010, CADE (Brazilian Administrative Council for Economic Defense) announced alleged anticompetitive activity on the part of five industrial gas companies in Brazil and imposed fines. Originally, CADE imposed a civil fine of R$2.2$2.2 billion Brazilian reais ($546395 million) on White Martins, the Brazil-based subsidiary of Praxair,Linde Inc. The fine was reduced to R$1.7$1.7 billion Brazilian reais ($422305 million) due to a calculation error made by CADE. On September 14, 2015, theThe fine against White Martins was overturned by the Ninth Federal Court of Brasilia. CADE appealed this decision, on June 30, 2016.and the Federal Court of Appeals rejected CADE's appeal and confirmed the decision of the Ninth Federal Court of Brasilia. CADE has filed an appeal with the Superior Court of Justice and a decision is pending.
Similarly, on September 1, 2010, CADE imposed a civil fine of R$237$237 million Brazilian reais ($5943 million) on Linde Gases Ltda., the former Brazil-based subsidiary of Linde AG, which was divested to MG Industries GmbH on March 1, 2019 and with respect to which Linde provided a contractual indemnity. The fine was reduced to R$188$188 million Brazilian reais ($4734 million) due to a calculation error made by CADE. On May 6, 2014 theThe fine against Linde Gases Ltda. was overturned by the Seventh Federal Court in Brasilia. CADE appealed this decision, on October 27, 2016.and the Federal Court of Appeals rejected CADE's appeal and confirmed the decision of the Seventh Federal Court of Brasilia. CADE filed an appeal with the Superior Court of Justice, and a final decision is pending.
Linde has strong defenses and is confident that it will prevail on appeal and have the fines overturned. Linde strongly believes that the allegations of anticompetitive activity against our current and former Brazilian
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subsidiaries are not supported by valid and sufficient evidence. Linde believes that this decision will not stand up to judicial review and deems the possibility of cash outflows to be extremely unlikely. As a result, no reserves have been recorded as management does not believe that a loss from this case is probable.

On and after April 23, 2019 former shareholders of Linde AG filed appraisal proceedings at the District Court (Landgericht) Munich I (Germany), seeking an increase of the cash consideration paid in connection with the previously completed cash merger squeeze-out of all of Linde AG’s minority shareholders for €189.46 per share. Any such increase would apply to all 14,763,113 Linde AG shares that were outstanding on April 8, 2019, when the cash merger squeeze-out was completed. The period for plaintiffs to file claims expired on July 9, 2019. The company believes the consideration paid was fair and that the claims lack merit, and no reserve has been established. We cannot estimate the timing of resolution.

Commitments
At December 31, 2019,2021, Linde had undrawn outstanding letters of credit, bank guarantees and surety bonds valued at approximately $3,276$3,695 million from financial institutions. These relate primarily to customer contract performance guarantees (including plant construction in connection with certain on-site contracts), self-insurance claims and other commercial and governmental requirements, including foreignnon-U.S. litigation matters.
Other commitments related to leases, tax liabilities for uncertain tax positions, long-term debt, other post retirement and pension obligations are summarized elsewhere in the financial statements (see Notes 6, 7, 13,4, 5, 11, and 18)16).


NOTE 20.18. SEGMENT INFORMATION

Effective October 31, 2018, Praxair and Linde AG completed the previously announced merger, resulting in the formation of Linde plc (see Note 1 for additional information on the merger). As a result of the merger and effective with the lifting of the hold separate order effective on March 1, 2019, new operating segments were created which are used by the company's Chief Operating Decision Maker ("CODM") to allocate company resources and assess performance. Linde’s operations consist of 2 major product lines: industrial gases and engineering. As further described in the following paragraph, Linde’s industrial gases operations are managed on a geographic basis, which represent 3 of the company's new reportable segments - Americas, EMEA (Europe/Middle East/Africa), and APAC (Asia/South Pacific); a fourth reportable segment which represents the company's Engineering business, designs and manufactures equipment for air separation and other industrial gas applications specifically for end customers and is managed on a worldwide basis operating in all 3 geographic segments. Other consists of corporate costs and a few smaller businesses which individually do not meet the quantitative thresholds for separate presentation.
The industrial gases product line centers on the manufacturing and distribution of atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). Many of these products are co-products of the same manufacturing process. Linde manufactures and distributes nearly all of its products and manages its customer relationships on a regional basis. Linde’s industrial gases are distributed to various end-markets within a regional segment through one of three basic distribution methods: on-site or tonnage; merchant or bulk; and packaged or cylinder gases. The distribution methods are generally integrated in order to best meet the customer’s needs and very few of its products can be economically transported outside of a region. Therefore, the distribution economics are specific to the various geographies in which the company operates and are consistent with how management assesses performance.
The company’s measure of profit/loss for segment reporting purposes remains unchanged - Segmentis segment operating profit. Segment operating profit is defined as operating profit excluding purchase accounting impacts of the Linde AG merger, intercompany royalties, and items not indicative of ongoing business trends. This is the manner in which the company’s CODM assesses performance and allocates resources. Similarly, total assets have not been included as this is not provided to the CODM for their assessment. For a description of Linde's previous operating segments, refer to Note 20 to the consolidated financial statements of Linde's 2018 Annual Report on Form 10-K.

The table below presents information about reportable segments for the years ended December 31, 2019, 20182021, 2020 and 2017.2019.
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(Millions of dollars)202120202019
Sales (a)
Americas$12,103 $10,459 $10,989 
EMEA7,643 6,449 6,643 
APAC6,133 5,687 5,779 
Engineering2,867 2,851 2,799 
Other2,047 1,797 1,953 
Total Segment Sales30,793 27,243 28,163 
Merger-related divestitures— — 65 
Total Sales$30,793 $27,243 $28,228 
202120202019
Segment Operating Profit
Americas$3,368 $2,773 $2,577 
EMEA1,889 1,465 1,367 
APAC1,502 1,277 1,184 
Engineering473 435 390 
Other(56)(153)(246)
Reported Segment operating profit7,176 5,797 5,272 
Cost reduction programs and other charges (Note 3)(273)(506)(567)
Net gain on sale of business— — 164 
Purchase accounting impacts - Linde AG(1,919)(1,969)(1,952)
Merger-related divestitures— — 16 
Total operating profit$4,984 $3,322 $2,933 
202120202019
Depreciation and Amortization
Americas$1,243 $1,196 $1,195 
EMEA752 723 749 
APAC611 619 613 
Engineering39 36 35 
Other127 132 143 
Segment depreciation and amortization2,772 2,706 2,735 
Purchase accounting impacts - Linde AG1,863 1,920 1,940 
Total depreciation and amortization$4,635 $4,626 $4,675 
202120202019
Capital Expenditures and Acquisitions
Americas$1,354 $1,425 $1,814 
EMEA669 670 738 
APAC995 1,214 1,231 
Engineering25 13 79 
Other131 146 45 
Total Capital Expenditures and Acquisitions$3,174 $3,468 $3,907 
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202120202019
Sales by Major Country
United States$9,123 $8,475 $8,604 
Germany3,601 3,740 3,630 
China2,562 2,061 2,005 
United Kingdom2,060 1,595 1,653 
Australia1,307 1,071 1,127 
Brazil1,065 822 994 
Other – non-U.S.11,075 9,479 10,215 
Total sales$30,793 $27,243 $28,228 
202120202019
Long-lived Assets by Major Country (b)
United States$7,659 $7,777 $7,498 
Germany2,003 2,394 2,429 
China2,385 2,413 2,254 
United Kingdom1,078 1,313 1,479 
Australia872 1,105 1,214 
Brazil705 734 956 
Other – non-U.S.11,301 12,976 13,234 
Total long-lived assets$26,003 $28,711 $29,064 
________________________
(a)The year ended December 31, 2019 reflects the results of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting (See Notes 1, 3 and 4Sales reflect external sales only. Intersegment sales, primarily from Engineering to the consolidated financial statements). The historical periods prior to 2018 reflect the results of Praxair.Prior periods presented have been recast to be consistent with the new segment structure:industrial gases segments, were not material.
(Millions of dollars)2019 2018 2017
Sales (a)     
Americas$10,993
 $8,017
 $7,204
EMEA6,643
 2,644
 1,520
APAC5,839
 2,446
 1,571
Engineering2,799
 459
 N/A
Other1,954
 1,270
 1,063
Total Sales$28,228
 $14,836
 $11,358
(b)Long-lived assets include property, plant and equipment - net.

 2019 2018 2017
Operating Profit     
Americas$2,578
 $2,053
 $1,854
EMEA1,367
 481
 317
APAC1,198
 465
 329
Engineering390
 14
 N/A
Other(245) (37) (4)
Segment operating profit5,288
 2,976
 2,496
Cost reduction programs and other charges(567) (309) (52)
Net gain on sale of business164
 3,294
 N/A
Purchase accounting impacts - Linde AG(1,952) (714) N/A
Total operating profit$2,933
 $5,247
 $2,444

 2019 2018 2017
Depreciation and Amortization     
Americas$1,195
 $860
 $778
EMEA749
 269
 168
APAC613
 271
 178
Engineering35
 5
 N/A
Other143
 79
 60
Segment depreciation and amortization2,735
 1,484
 1,184
Purchase accounting impacts - Linde AG1,940
 346
 N/A
Total depreciation and amortization$4,675
 $1,830
 $1,184

 2019 2018 2017
Capital Expenditures and Acquisitions     
Americas$1,814
 $1,068
 $921
EMEA738
 329
 141
APAC1,231
 372
 207
Engineering79
 27
 N/A
Other45
 112
 75
Total Capital Expenditures and Acquisitions$3,907
 $1,908
 $1,344

 2019 2018 2017
Sales by Major Country     
United States$8,604
 $5,942
 $4,973
Germany3,630
 868
 401
China2,005
 1,032
 735
United Kingdom1,653
 398
 131
Australia1,127
 183
 N/A
Brazil994
 1,003
 1,100
Other – foreign10,215
 5,410
 4,018
Total Sales by Major Country$28,228
 $14,836
 $11,358


 2019 2018 2017
Long-lived Assets by Major Country (b)     
United States$7,498
 $7,189
 $4,979
Germany2,429
 2,411
 413
China2,254
 2,237
 1,060
United Kingdom1,479
 1,582
 55
Australia1,214
 1,476
 N/A
Brazil956
 1,012
 1,204
Other – foreign13,234
 13,810
 4,114
Total long-lived assets$29,064
 $29,717
 $11,825

________________________
(a)Sales reflect external sales only and include Linde AG sales from the merger date of October 31, 2018 forward. Intersegment sales, primarily from Engineering to the industrial gases segments, were not material.
(b)Long-lived assets include property, plant and equipment - net and reflect the impact of the merger with Linde AG (refer to Note 3).

21.19. REVENUE RECOGNITION

Revenue is accounted for in accordance with ASC 606. Revenue is recognized as control of goods or services are transferred to customers in an amount that reflects the consideration to which an entity expects to be entitled to receive in exchange for the goods or services.
Contracts with Customers
Approximately 83% of Linde's consolidated sales are generated from industrial gases and related products in 3 geographic segments (Americas, EMEA, and APAC) and the remaining 17% is related primarily to the Engineering segment, and to a lesser extent Other (see Note 20 for operating segment details). Linde serves a diverse group of industries including healthcare, energy, manufacturing, food, beverage carbonation, fiber-optics, steel making, aerospace, chemicals and water treatment.
Industrial Gases
Within each of the company’s geographic segments for industrial gases, there are 3 basic distribution methods: (i) on-site or tonnage; (ii) merchant or bulk liquid; and (iii) packaged or cylinder gases. The distribution method used by Linde to supply a customer is determined by many factors, including the customer’s volume requirements and location. The distribution method generally determines the contract terms with the customer and, accordingly, the revenue recognition accounting practices. Linde's primary products in its industrial gases business are atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). These products are generally sold through one of the three distribution methods.
Following is a description of each of the 3 industrial gases distribution methods and the respective revenue recognition policies:
On-site. Customers that require the largest volumes of product and that have a relatively constant demand pattern are supplied by cryogenic and process gas on-site plants. Linde constructs plants on or adjacent to these customers’ sites and supplies the product directly to customers by pipeline. Where there are large concentrations of customers, a single pipeline
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may be connected to several plants and customers. On-site product supply contracts generally are total requirement contracts with terms typically ranging from 10-20 years and contain minimum purchase requirements and price escalation provisions. Many of the cryogenic on-site plants also produce liquid products for the merchant market. Therefore, plants are typically not dedicated to a single customer. Additionally, Linde is responsible for the design, construction, operations and maintenance of the plants and our customers typically have no involvement in these activities. Advanced air separation processes also allow on-site delivery to customers with smaller volume requirements.
The company’s performance obligations related to on-site customers are satisfied over time as customers receive and obtain control of the product. Linde has elected to apply the practical expedient for measuring progress towards the completion of a performance obligation and recognizes revenue as the company has the right to invoice each customer, which generally corresponds with product delivery. Accordingly, revenue is recognized when product is delivered to the customer and the company has the right to invoice the customer in accordance with the contract terms. Consideration in these contracts is generally based on pricing which fluctuates with various price indices. Variable components of consideration exist within on-site contracts but are considered constrained.
Merchant. Merchant deliveries generally are made from Linde's plants by tanker trucks to storage containers at the customer's site. Due to the relatively high distribution cost, merchant oxygen and nitrogen generally have a relatively small distribution radius from the plants at which they are produced. Merchant argon, hydrogen and helium can be shipped much longer distances. The customer agreements used in the merchant business are usually three to seven year supply agreements based on the requirements of the customer. These contracts generally do not contain minimum purchase requirements or volume commitments.
The company’s performance obligations related to merchant customers are generally satisfied at a point in time as the customers receive and obtain control of the product. Revenue is recognized when product is delivered to the customer and the company has the right to invoice the customer in accordance with the contract terms. Any variable components of consideration within merchant contracts are constrained however this consideration is not significant.
Packaged Gases. Customers requiring small volumes are supplied products in containers called cylinders, under medium to high pressure. Linde distributes merchant gases from its production plants to company-owned cylinder filling plants where cylinders are then filled for distribution to customers. Cylinders may be delivered to the customer’s site or picked up by the customer at a packaging facility or retail store. Linde invoices the customer for the industrial gases and the use of the cylinder container(s). The company also sells hardgoods and welding equipment purchased from independent manufacturers. Packaged gases are generally sold under one to three-yearthree-year supply contracts and purchase orders and do not contain minimum purchase requirements or volume commitments.

The company’s performance obligations related to packaged gases are satisfied at a point in time. Accordingly, revenue is recognized when product is delivered to the customer or when the customer picks up product from a packaged gas facility or retail store, and the company has the right to payment from the customer in accordance with the contract terms. Any variable consideration is constrained and will be recognized when the uncertainty related to the consideration is resolved.
Linde Engineering
The company designs and manufactures equipment for air separation and other industrial gas applications manufactured specifically for end customers. Sale of equipment contracts are generally comprised of a single performance obligation. Revenue from sale of equipment is generally recognized over time as Linde has an enforceable right to payment for performance completed to date and performance does not create an asset with alternative use. For contracts recognized over time, revenue is recognized primarily using a cost incurred input method. Costs incurred to date relative to total estimated costs at completion are used to measure progress toward satisfying performance obligations. Costs incurred include material, labor, and overhead costs and represent work contributing and proportionate to the transfer of control to the customer. Contract modifications are typically accounted for as part of the existing contract and are recognized as a cumulative adjustment for the inception-to-date effect of such change.
Contract Assets and Liabilities
Contract assets and liabilities result from differences in timing of revenue recognition and customer invoicing. Contract assets primarily relate to sale of equipment contracts for which revenue is recognized over time. The balance represents unbilled revenue which occurs when revenue recognized under the measure of progress exceeds amounts invoiced to customers. Customer invoices may be based on the passage of time, the achievement of certain contractual milestones or a combination of both criteria. Contract liabilities include advance payments or right to consideration prior to performance under the contract. Contract liabilities are recognized as revenue as performance obligations are satisfied under contract terms. Linde has contract assets of $368$134 million at December 31, 2019.2021 and $162 million at December 31, 2020. Total contract liabilities are $2,106$3,699 million at December 31, 20192021 (current of $1,758$2,940 million and $348$759 million within other long-termlong-
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term liabilities in the consolidated balance sheets). Total contract liabilities were $1,934$2,301 million at December 31, 20182020 (current contract liabilities of $1,546$1,769 million $234and $532 million classified as deferred income within other current liabilities and $154 million in other long-term liabilities in the consolidated balance sheets). Revenue recognized for the twelve months ended December 31, 20192021 that was included in the contract liability at December 31, 20182020 was $1,168$1,173 million. Contract assets and liabilities primarily relate to the Linde Engineering business acquired in the merger. The industrial gases business does not typically have material contract assets or liabilities.business.
Payment Terms and Other
Linde generally receives payment after performance obligations are satisfied, and customer prepayments are not typical for the industrial gases business. Payment terms vary based on the country where sales originate and local customary payment practices. Linde does not offer extended financing outside of customary payment terms. Amounts billed for sales and use taxes, value-added taxes, and certain excise and other specific transactional taxes imposed on revenue producing transactions are presented on a net basis and are not included in sales within the consolidated statement of income. Additionally, sales returns and allowances are not a normal practice in the industry and are not significant.

Disaggregated Revenue Information
As described above and in Note 20,18, the company manages its industrial gases business on a geographic basis, while the Engineering and Other businesses are generally managed on a global basis. Furthermore, the company believes that reporting sales by distribution method by reportable geographic segment best illustrates the nature, timing, type of customer, and contract terms for its revenues, including terms and pricing.
The following tables show sales by distribution method at the consolidated level and for each reportable segment and Other for the years ended December 31, 20192021, 2020 and 2018. The2019.
(Millions of dollars)Year Ended December 31, 2021
SalesAmericasEMEAAPACEngineeringOtherTotal%
Merchant$3,279 $2,227 $2,181 $— $173 $7,860 26 %
On-Site3,225 1,824 2,296 — — 7,345 24 %
Packaged Gas5,456 3,539 1,532 — 24 10,551 34 %
Other143 53 124 2,867 1,850 5,037 16 %
$12,103 $7,643 $6,133 $2,867 $2,047 $30,793 100 %
(Millions of dollars)Year Ended December 31, 2020
SalesAmericasEMEAAPACEngineeringOtherTotal%
Merchant$2,839 $1,870 $2,005 $— $145 $6,859 25 %
On-Site2,513 1,354 2,049 — — 5,916 22 %
Packaged Gas5,034 3,175 1,559 — 22 9,790 36 %
Other73 50 74 2,851 1,630 4,678 17 %
$10,459 $6,449 $5,687 $2,851 $1,797 $27,243 100 %
(Millions of dollars)Year Ended December 31, 2019
SalesAmericasEMEAAPACEngineeringOther (a)Total%
Merchant$2,945 $1,856 $2,080 $— $184 $7,065 25 %
On-Site2,757 1,434 2,020 — — 6,211 22 %
Packaged Gas5,183 3,347 1,542 — 19 10,091 36 %
Other104 137 2,799 1,815 4,861 17 %
$10,989 $6,643 $5,779 $2,799 $2,018 $28,228 100 %
(a) Other includes $65 million for the year ended December 31, 2019 reflects the results of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date),merger-related divestitures that have been excluded from segment sales.



(Millions of dollars)Year Ended December 31, 2019
SalesAmericasEMEAAPACEngineeringOtherTotal%

       
Merchant$2,946
$1,856
$2,080
$
$184
$7,066
25%
On-Site2,758
1,434
2,060


6,252
22%
Packaged Gas5,185
3,347
1,562

19
10,113
36%
Other104
6
137
2,799
1,751
4,797
17%
 $10,993
$6,643
$5,839
$2,799
$1,954
$28,228
100%
 
(Millions of dollars)Year Ended December 31, 2018
SalesAmericasEMEAAPACEngineeringOtherTotal%

       
Merchant$2,775
$832
$826
$
$119
$4,552
31%
On-Site2,405
536
1,156


4,097
28%
Packaged Gas2,800
1,271
443

3
4,517
30%
Other37
5
21
459
1,148
1,670
11%
 $8,017
$2,644
$2,446
$459
$1,270
$14,836
100%
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Remaining Performance Obligations
As described above, Linde's contracts with on-site customers are under long-term supply arrangements which generally require the customer to purchase their requirements from Linde and also have minimum purchase requirements. The company estimates the consideration related to minimum purchase requirements is approximately $48$57 billion. This amount excludes all sales above minimum purchase requirements, which can be significant depending on customer needs. In the future, actual amounts will be different due to impacts from several factors, many of which are beyond the company’s control including, but not limited to, timing of newly signed, terminated and renewed contracts, inflationary price escalations, currency exchange rates, and pass-through costs related to natural gas and electricity. The actual duration of long-term supply contracts ranges up to twenty years. The company estimates that approximately half of the revenue related to minimum purchase requirements will be earned in the next five years and the remaining thereafter.



NOTE 22. QUARTERLY DATA (UNAUDITED)
(Dollar amounts in millions, except per share data)
20191Q (a) 2Q (a) 3Q (a) 4Q (a) YEAR (a)
Sales$6,944
 $7,204
 $7,000
 $7,080
 $28,228
Cost of sales, exclusive of depreciation and amortization4,116
 4,280
 4,061
 4,187
 16,644
Depreciation and amortization1,223
 1,195
 1,095
 1,162
 4,675
Operating profit609
 669
 1,000
 655
 2,933
Net income – Linde plc517
 522
 735
 511
 2,285
Income from continuing operations435
 513
 728
 507
 2,183
Income from discontinued operations82
 9
 7
 4
 102
Basic Per Share Data         
Income from continuing operations$0.80
 $0.95
 $1.35
 $0.94
 $4.03
Income from discontinued operations0.15
 0.02
 0.01
 0.01
 0.19
Weighted average shares (000’s)545,554
 542,561
 539,753
 536,768
 541,094
Diluted Per Share Data         
Income from continuing operations$0.79
 $0.94
 $1.34
 $0.94
 $4.00
Income from discontinued operations0.15
 0.02
 0.01
 0.01
 0.19
Weighted average shares (000’s)549,147
 546,488
 543,616
 540,919
 545,170
20181Q (a) 2Q (a) 3Q (a) 4Q (a) YEAR (a)
Sales$2,983
 $3,044
 $3,008
 $5,801
 $14,836
Cost of sales, exclusive of depreciation and amortization1,661
 1,706
 1,698
 3,955
 9,020
Depreciation and amortization311
 311
 306
 902
 1,830
Operating profit653
 689
 669
 3,236
 5,247
Net income – Linde plc462
 480
 461
 2,978
 4,381
Income from continuing operations462
 480
 461
 2,870
 4,273
Income from discontinued operations
 
 
 108
 108
Basic Per Share Data         
Income from continuing operations*$1.61
 $1.67
 $1.60
 $6.27
 $12.93
Income from discontinued operations*
 
 
 0.24
 0.33
Weighted average shares (000’s)287,504
 287,803
 288,093
 457,518
 330,401
Diluted Per Share Data         
Income from continuing operations*$1.59
 $1.65
 $1.58
 $6.22
 $12.79
Income from discontinued operations*
 
 
 0.23
 0.32
Weighted average shares (000’s)290,809
 290,908
 291,513
 461,150
 334,127
*Due to quarterly changes in the share count as a result of the merger the sum of the four quarters does not equal the earnings per share amount calculated for the year.
(a)2019 and 2018 include the impact of the following matters (see Notes 3, 4, 5, 7, 13 and 18):

(Millions of dollars)
Operating
Profit/
(Loss)
Income from Continuing Operations
Q1
Cost reduction programs and other charges$(89)$(81)
Pension settlement charge
(38)
Purchase accounting impacts - Linde AG(531)(378)
Q2
Cost reduction programs and other charges(141)(123)
Purchase accounting impacts - Linde AG(515)(368)
Q3
Cost reduction programs and other charges(125)(91)
Pension settlement charge
(30)
Purchase accounting impacts - Linde AG(425)(312)
Gain on sale of business164
108
Q4
Cost reduction programs and other charges(212)(160)
Pension settlement charge
(4)
Purchase accounting impacts - Linde AG(481)(354)
Year 2019$(2,355)$(1,831)
(Millions of dollars)
Operating
Profit/
(Loss)
Income from Continuing Operations
Q1
Cost reduction programs and other charges$(19)$(18)
Q2
Cost reduction programs and other charges(24)(21)
Q3
Cost reduction programs and other charges(31)(29)
Pension settlement charge
(3)
Q4
Cost reduction programs and other charges(235)(238)
Gain on sale of business3,294
2,923
Bond redemption
(20)
Pension settlement charge
(8)
Tax Act and other tax charges
17
Purchase accounting impacts - Linde AG(714)(451)
Year 2018$2,271
$2,152


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ITEM 9.CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE
ITEM 9.     CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE
None.

ITEM 9A.     CONTROLS AND PROCEDURES
Conclusion Regarding the Effectiveness of Disclosure Controls and Procedures
Based on an evaluation of the effectiveness of Linde’s disclosure controls and procedures, which was made under the supervision and with the participation of management, including Linde’s principal executive officer and principal financial officer, the principal executive officer and principal financial officer have each concluded that, as of the end of the annual period covered by this report,December 31, 2021, such disclosure controls and procedures are effective in ensuring that information required to be disclosed by Linde in reports that it files or submits under the Exchange Act of 1934 is recorded, processed, summarized and reported within the time periods specified in the Securities and Exchange Commission’s rules and forms, and accumulated and communicated to management including Linde’s principal executive officer and principal financial officer, to allow timely decisions regarding required disclosure.
Management’s Report on Internal Control Over Financial Reporting
Refer to Item 8 for Management’s Report on Internal Control Over Financial Reporting as of December 31, 2019.2021.
Changes in Internal Control over Financial Reporting
There were no changes in Linde’s internal control over financial reporting that occurred during the quarter ended December 31, 20192021 that have materially affected, or are reasonably likely to materially affect, Linde’s internal control over financial reporting.

ITEM 9B.     OTHER INFORMATION
None.


ITEM 9C.     DISCLOSURE REGARDING FOREIGN JURISDICTIONS THAT PREVENT INSPECTIONS
None.
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PART III

ITEM 10.     DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE

Certain information required by this item is incorporated herein by reference to the sections captioned “Corporate Governance and Board Matters - Director Nominees" and “Corporate Governance And Board Matters - "Delinquent Section 16 (a) Reports" in Linde’s Proxy Statement to be filed by April 30, 20202022 for the Annual General Meeting.
Identification of the Audit Committee
Linde has a separately-designated standing Audit Committee established in accordance with Section 3(a)(58)(A) of the Securities Exchange Act of 1934 as amended (the “Exchange Act”). The members of that audit committee are Prof. Dr. Clemens Börsig (chairman), Dr. Nance K. Dicciani, Dr. Thomas Enders, Edward G. Galante, Larry D. McVay, and Dr. Victoria Ossadnik and Alberto Weisser and each member is independent within the meaning of the independence standards adopted by the Board of Directors and those of the New York Stock Exchange.

Audit Committee Financial Expert
The Linde Board of Directors has determined that Prof. Dr. Clemens Börsig is anand Alberto Weisser satisfy the criteria adopted by the SEC to serve as “audit committee financial expert”experts” as defined by Item 407(d)(5)(ii) of Regulation S-K of the Exchange Act and is independent within the meaning of the independence standards adopted by the Board of Directors and those of the New York Stock Exchange.

Code of Ethics
Linde has adopted a code of ethics that applies to the company’s directors and all employees, including its Chief Executive Officer, Chief Financial Officer, and Chief Accounting Officer. This code of ethics, including specific standards for implementing certain provisions of the code, has been approved by the Linde Board of Directors and is named the “Code of Business Integrity”. This document is posted on the company’s public website, www.linde.com but is not incorporated herein.

ITEM 11.     EXECUTIVE COMPENSATION
Information required by this item is incorporated herein by reference to the sections captioned “Executive Compensation Matters” and “Corporate Governance and Board Matters - Director Compensation” in Linde’s Proxy Statement to be filed by April 30, 20202022 for the Annual General Meeting.




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ITEM 12.     SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS
Equity Compensation Plans Information - The table below provides information as of December 31, 20192021 about company shares that may be issued upon the exercise of options, warrants and rights granted to employees or members of Linde’s Board of Directors under equity compensation plans that were assumed by Linde upon the completion of the business combination on October 31, 2018.

EQUITY COMPENSATION PLANS TABLE 
Plan CategoryNumber of securities to
be issued upon exercise
of outstanding options,
warrants and rights (a)
 Weighted-average
exercise price of
outstanding options,
warrants and rights (b)
Number of securities
remaining available for
future issuance under
equity compensation plans
(excluding securities
reflected in column (a)) (c)
Equity compensation plans approved by shareholders8,414,538 (1)$152.57 9,280,823 (2)
Equity compensation plans not approved by shareholders—   — — 
Total8,414,538   $152.57 9,280,823 
Plan Category
Number of securities to
be issued upon exercise
of outstanding options,
warrants and rights
 
Weighted-average
exercise price of
outstanding options,
warrants and rights 
 
Number of securities
remaining available for
future issuance under
equity compensation plans
(excluding securities
reflected in column
 
Equity compensation plans approved by shareholders10,426,688
(1)$127.04
 6,715,222
(2)
Equity compensation plans not approved by shareholders
  
 
 
Total10,426,688
  $127.04
 6,715,222
 
________________________
(1)This amount includes 883,922 restricted shares and 246,220 performance shares.
(2)This amount includes 6,454,428 shares available for future issuance pursuant to the Amended and Restated 2009 Praxair, Inc. Long Term Incentive Plan assumed by Linde, and 260,794 shares available for future issuance pursuant to the Long Term Incentive Plan 2018 of Linde plc.
(1)This amount includes 636,715 restricted shares and 610,245 performance shares.
(2)This amount includes 8,995,710 shares available for future issuance pursuant to the 2021 Linde plc Long Term Incentive Plan, and 285,113 shares available for future issuance pursuant to the Long Term Incentive Plan 2018 of Linde plc.

Certain information required by this item regarding the beneficial ownership of the company’s ordinary shares is incorporated herein by reference to the section captioned “Information on Share Ownership” in Linde’s Proxy Statement to be filed by April 30, 20202022 for the Annual General Meeting.

ITEM 13.     CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS AND DIRECTOR INDEPENDENCE
Information required by this item is incorporated herein by reference to the sections captioned “Corporate Governance And Board Matters – Review, Approval or Ratification of Transactions with Related Persons,” “Corporate Governance And Board Matters – Certain Relationships and Transactions,” and “Corporate Governance And Board Matters – Director Independence” in Linde’s Proxy Statement to be filed by April 30, 20202022 for the Annual General Meeting.


ITEM 14.     PRINCIPAL ACCOUNTING FEES AND SERVICES
Information required by this item is incorporated herein by reference to the section captioned “Audit Matters” in Linde’s Proxy Statement to be filed by April 30, 20202022 for the Annual General Meeting.


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PART IV
ITEM 15.     EXHIBITS, FINANCIAL STATEMENT SCHEDULES
(a)
The following documents are filed as part of this report:
(1)
The company’s 2019The following documents are filed as part of this report:
(i)The company’s 2021 Consolidated Financial Statements and the Report of the Independent Registered Public Accounting Firm are included in Part II, Item 8. Financial Statements and Supplementary Data.
(ii)Financial Statement Schedules – All financial statement schedules have been omitted because they are not applicable or the required information is shown in the financial statements or notes thereto.
(iii)Exhibits – The exhibits filed as part of this Annual Report on Form 10-K are listed in the accompanying index.

102

(2)Financial Statement Schedules – All financial statement schedules have been omitted because they are not applicable or the required information is shown in the financial statements or notes thereto.
(3)Exhibits – The exhibits filed as part of this Annual Report on Form 10-K are listed in the accompanying index.


INDEX TO EXHIBITS
Linde plc and Subsidiaries
Exhibit No.Description
2.1
2.1a
**2.2
**2.3
**2.3a
**2.3b
**2.3c
3.01
4.01
4.02
4.03
4.04
4.05
4.06
4.07
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4.08
4.09
4.10
4.11Copies of the agreements relatingrelated to long-term debt which are not required to be filed as exhibits to this Annual Report on Form 10-K will be furnished to the Securities and Exchange Commission upon request.

10.01*10.0e
10.01

10.01a
*10.02
*10.02a
*10.02b
*10.02c
*10.02d
*10.03
*10.0310.04
*10.0410.05
*10.04a
*10.04b
*10.04c
*10.04d
*10.04e
*10.05
*10.05a
*10.05b
*10.05c
*10.05d
104

*10.05d10.05e
*10.05e10.05f
*10.05f10.05g
*10.06
*10.06a
*10.06b

*10.06c
*10.06d
*10.06e10.06
*10.06a
*10.06b
*10.06c
*10.06f10.06d
*10.06g10.06e
*10.06h10.06f

*10.07
*10.08
*10.08a10.09
*10.0910.10
*10.1010.11

*10.10a10.11a
*10.10b
*10.10c

*10.10d10.11b
*10.11c
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Table of Contents
*10.11d
*10.11e
*10.10e10.11f

*10.10f10.11g
*10.10g
*10.10h10.11h
*10.10i
*10.10j10.11i
*10.10k10.11j
*10.10l10.11k
*10.10m10.11l
*10.1110.12
*10.12
*10.12a
*10.13

*10.13a
*10.1410.13
10.14
*10.15
18

21.01
21.01
23.01
31.01
31.02
32.01
32.02
101.INSXBRL Instance Document: The XBRL Instance Document does not appear in the Interactive Data File because its XBRL tags are embedded within the Inline XBRL document.
101.SCHXBRL Taxonomy Extension Schema
101.CALXBRL Taxonomy Extension Calculation Linkbase
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101.LABXBRL Taxonomy Extension Label Linkbase
101.PREXBRL Taxonomy Extension Presentation Linkbase
101.DEFXBRL Taxonomy Extension Definition Linkbase
Copies of exhibits incorporated by reference can be obtained from the SEC and are located in SEC File No. 1-11037.
*Indicates a management contract or compensatory plan or arrangement.
**Certain schedules or similar attachments have been omitted pursuant to Item 601(b)(2) of Regulation S-K. The Registrant agrees to furnish supplemental copies of any of the omitted schedules or attachments upon request by the SEC.



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ITEM 16.     FORM 10-K SUMMARY

None.

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SIGNATURES
Linde plc and Subsidiaries
Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned thereunto duly authorized. 
Linde plc
(Registrant)
Date: March 2, 2020February 28, 2022By: 
 /s/    KELCEY E. HOYT        
Kelcey E. Hoyt
Chief Accounting Officer
Pursuant to the requirements of the Securities Exchange Act of 1934, this report has been signed below by the following persons on behalf of the Registrant and in the capacities indicated on March 2, 2020.February 28, 2022. 
/s/    PROF. DR. WOLFGANG REITZLE/s/    STEPHEN F. ANGEL        /s/ MATTHEW J. WHITE
Wolfgang Reitzle
Chairman
Stephen F. Angel
Chief Executive Officer and Director
Matthew J. White
Chief Financial Officer
/s/    PROF. DDR. ANN-KRISTIN ACHLIETNER/s/    DR. CLEMENS BÖRSIG/s/   DR. NANCE K. DICCIANI         
Ann-Kristin Achleitner
Director
Clemens Börsig
Director
Nance K. Dicciani
Director
/s/    DR. THOMAS ENDERS/s/    FRANZ FEHRENBACH/s/    EDWARD G. GALANTE    
Thomas Enders
Director
Franz Fehrenbach
Director
Edward G. Galante
Director
/s/    LARRY D. MCVAY  /s/    DR. VICTORIA OSSADNIK/s/   PROF. DR. MARTIN H. RICHENHAGEN
Larry D. McVay
Director
Victoria Ossadnik
Director
Martin Richenhagen
Director
/s/    ROBERT L. WOOD   /s/    ALBERTO WEISSER/s/  JOSEF KAESER
Robert L. Wood
Director
Alberto Weisser
Director
Josef Kaeser
Director


143109