UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
FORM 10-Q
(Mark One)
QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the quarterly period ended June 30, 2020March 31, 2021
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: 0-20853
ANSYS, Inc.
(Exact name of registrant as specified in its charter)
Delaware04-3219960
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
2600 ANSYS Drive,Canonsburg,PA15317
(Address of Principal Executive Offices)(Zip Code)
844-462-6797
(Registrant's telephone number, including area code)
N/A
(Former name, former address and former fiscal year, if changed since last report)
Securities registered pursuant to Section 12(b) of the Act:
Title of each classTrading Symbol(s)Name of exchange on which registered
Common Stock, $0.01 par value per shareANSSNasdaq Stock Market LLC
(Nasdaq Global Select Market)
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 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 an emerging growth company. See the definitions of “large"large accelerated filer,” “accelerated" "accelerated filer,” “smaller" "smaller reporting company," and “emerging"emerging growth company”company" in Rule 12b-2 of the Exchange Act.
Large accelerated filerAccelerated filer
Non-accelerated filerSmaller 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 is a shell company (as defined in Rule 12b-2 of the Exchange Act).
Yes     No  
The number of shares of the Registrant’s Common Stock, $0.01 par value per share, outstanding as of July 31, 2020April 30, 2021 was 85,789,23787,151,573 shares.



ANSYS, INC. AND SUBSIDIARIES
INDEX
  
Page No.

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Table of Contents
PART I – FINANCIAL INFORMATION
Item 1.Financial Statements:

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED BALANCE SHEETS
(Unaudited)
(in thousands, except share and per share data)(in thousands, except share and per share data)June 30,
2020
December 31,
2019
(in thousands, except share and per share data)March 31,
2021
December 31,
2020
ASSETSASSETSASSETS
Current assets:Current assets:Current assets:
Cash and cash equivalentsCash and cash equivalents$744,546  $872,094  Cash and cash equivalents$987,427 $912,672 
Short-term investmentsShort-term investments433  288  Short-term investments516 479 
Accounts receivable, less allowance for doubtful accounts of $13,400 and $8,700, respectively343,247  433,479  
Accounts receivable, less allowance for doubtful accounts of $14,000Accounts receivable, less allowance for doubtful accounts of $14,000394,289 537,564 
Other receivables and current assetsOther receivables and current assets206,038  249,619  Other receivables and current assets278,720 268,522 
Total current assetsTotal current assets1,294,264  1,555,480  Total current assets1,660,952 1,719,237 
Long-term assets:Long-term assets:Long-term assets:
Property and equipment, netProperty and equipment, net88,792  83,636  Property and equipment, net93,207 96,503 
Operating lease right-of-use assetsOperating lease right-of-use assets117,242  105,671  Operating lease right-of-use assets125,635 137,730 
GoodwillGoodwill2,474,299  2,413,280  Goodwill3,036,783 3,038,306 
Other intangible assets, netOther intangible assets, net481,694  476,711  Other intangible assets, net677,357 694,865 
Other long-term assetsOther long-term assets191,326  180,032  Other long-term assets201,675 225,119 
Deferred income taxes Deferred income taxes24,249  24,077   Deferred income taxes22,419 28,830 
Total long-term assetsTotal long-term assets3,377,602  3,283,407  Total long-term assets4,157,076 4,221,353 
Total assetsTotal assets$4,671,866  $4,838,887  Total assets$5,818,028 $5,940,590 
LIABILITIES AND STOCKHOLDERS' EQUITYLIABILITIES AND STOCKHOLDERS' EQUITYLIABILITIES AND STOCKHOLDERS' EQUITY
Current liabilities:Current liabilities:Current liabilities:
Accounts payableAccounts payable$10,505  $14,298  Accounts payable$16,970 $18,691 
Accrued bonuses and commissionsAccrued bonuses and commissions37,642  101,546  Accrued bonuses and commissions24,911 112,491 
Accrued income taxesAccrued income taxes28,291  9,996  Accrued income taxes6,260 26,116 
Current portion of long-term debtCurrent portion of long-term debt—  75,000  Current portion of long-term debt4,688 
Other accrued expenses and liabilitiesOther accrued expenses and liabilities142,270  142,947  Other accrued expenses and liabilities204,622 199,466 
Deferred revenueDeferred revenue325,098  351,353  Deferred revenue366,596 372,061 
Total current liabilitiesTotal current liabilities543,806  695,140  Total current liabilities624,047 728,825 
Long-term liabilities:Long-term liabilities:Long-term liabilities:
Deferred income taxesDeferred income taxes66,661  78,643  Deferred income taxes102,221 110,321 
Long-term operating lease liabilitiesLong-term operating lease liabilities103,585  91,768  Long-term operating lease liabilities109,454 120,940 
Long-term debtLong-term debt423,683  423,531  Long-term debt793,515 798,118 
Other long-term liabilitiesOther long-term liabilities96,083  96,426  Other long-term liabilities76,822 84,514 
Total long-term liabilitiesTotal long-term liabilities690,012  690,368  Total long-term liabilities1,082,012 1,113,893 
Commitments and contingenciesCommitments and contingenciesCommitments and contingencies00
Stockholders' equity:Stockholders' equity:Stockholders' equity:
Preferred stock, $0.01 par value; 2,000,000 shares authorized; zero shares issued or outstandingPreferred stock, $0.01 par value; 2,000,000 shares authorized; zero shares issued or outstanding—  —  Preferred stock, $0.01 par value; 2,000,000 shares authorized; zero shares issued or outstanding0 
Common stock, $0.01 par value; 300,000,000 shares authorized; 94,627,585 shares issued946  946  
Common stock, $0.01 par value; 300,000,000 shares authorized; 95,266,320 shares issuedCommon stock, $0.01 par value; 300,000,000 shares authorized; 95,266,320 shares issued953 953 
Additional paid-in capitalAdditional paid-in capital1,144,193  1,188,939  Additional paid-in capital1,346,601 1,434,203 
Retained earningsRetained earnings3,513,334  3,370,706  Retained earnings3,876,991 3,804,593 
Treasury stock, at cost: 8,889,945 and 8,893,177 shares, respectively(1,141,040) (1,041,831) 
Treasury stock, at cost: 8,128,708 and 8,693,809 shares, respectivelyTreasury stock, at cost: 8,128,708 and 8,693,809 shares, respectively(1,075,537)(1,124,102)
Accumulated other comprehensive lossAccumulated other comprehensive loss(79,385) (65,381) Accumulated other comprehensive loss(37,039)(17,775)
Total stockholders' equityTotal stockholders' equity3,438,048  3,453,379  Total stockholders' equity4,111,969 4,097,872 
Total liabilities and stockholders' equityTotal liabilities and stockholders' equity$4,671,866  $4,838,887  Total liabilities and stockholders' equity$5,818,028 $5,940,590 

The accompanying notes are an integral part of the condensed consolidated financial statements.
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Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF INCOME
(Unaudited)
Three Months EndedSix Months EndedThree Months Ended
(in thousands, except per share data)(in thousands, except per share data)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands, except per share data)March 31,
2021
March 31,
2020
Revenue:Revenue:Revenue:
Software licensesSoftware licenses$169,341  $170,499  $257,171  $293,543  Software licenses$132,604 $87,830 
Maintenance and serviceMaintenance and service216,320  198,136  433,475  392,222  Maintenance and service230,622 217,155 
Total revenueTotal revenue385,661  368,635  690,646  685,765  Total revenue363,226 304,985 
Cost of sales:Cost of sales:Cost of sales:
Software licensesSoftware licenses8,511  6,204  13,437  10,912  Software licenses7,606 4,926 
AmortizationAmortization9,764  4,755  19,316  9,302  Amortization14,949 9,552 
Maintenance and serviceMaintenance and service35,585  29,538  71,223  55,098  Maintenance and service39,548 35,638 
Total cost of salesTotal cost of sales53,860  40,497  103,976  75,312  Total cost of sales62,103 50,116 
Gross profitGross profit331,801  328,138  586,670  610,453  Gross profit301,123 254,869 
Operating expenses:Operating expenses:Operating expenses:
Selling, general and administrativeSelling, general and administrative128,698  120,412  259,220  232,581  Selling, general and administrative146,215 130,522 
Research and developmentResearch and development86,133  75,302  172,245  146,040  Research and development100,479 86,112 
AmortizationAmortization4,163  3,796  8,325  7,555  Amortization4,407 4,162 
Total operating expensesTotal operating expenses218,994  199,510  439,790  386,176  Total operating expenses251,101 220,796 
Operating incomeOperating income112,807  128,628  146,880  224,277  Operating income50,022 34,073 
Interest incomeInterest income934  2,980  3,709  6,422  Interest income517 2,775 
Interest expenseInterest expense(3,040) (231) (6,691) (322) Interest expense(3,315)(3,651)
Other income (expense), net1,884  (1,436) 2,011  (1,770) 
Income before income tax provision112,585  129,941  145,909  228,607  
Income tax provision16,021  20,191  3,281  32,627  
Other income, netOther income, net399 127 
Income before income tax benefitIncome before income tax benefit47,623 33,324 
Income tax benefitIncome tax benefit(24,775)(12,740)
Net incomeNet income$96,564  $109,750  $142,628  $195,980  Net income$72,398 $46,064 
Earnings per share – basic:Earnings per share – basic:Earnings per share – basic:
Earnings per shareEarnings per share$1.13  $1.31  $1.66  $2.34  Earnings per share$0.83 $0.54 
Weighted average sharesWeighted average shares85,651  83,978  85,724  83,871  Weighted average shares86,808 85,798 
Earnings per share – diluted:Earnings per share – diluted:Earnings per share – diluted:
Earnings per shareEarnings per share$1.11  $1.28  $1.64  $2.29  Earnings per share$0.82 $0.53 
Weighted average sharesWeighted average shares86,934  85,483  87,152  85,488  Weighted average shares87,986 87,369 

The accompanying notes are an integral part of the condensed consolidated financial statements.
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Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(Unaudited)
Three Months EndedSix Months Ended Three Months Ended
(in thousands)(in thousands)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands)March 31,
2021
March 31,
2020
Net incomeNet income$96,564  $109,750  $142,628  $195,980  Net income$72,398 $46,064 
Other comprehensive income (loss):
Other comprehensive loss:Other comprehensive loss:
Foreign currency translation adjustmentsForeign currency translation adjustments10,288  558  (14,004) (7,000) Foreign currency translation adjustments(19,264)(24,292)
Comprehensive incomeComprehensive income$106,852  $110,308  $128,624  $188,980  Comprehensive income$53,134 $21,772 

The accompanying notes are an integral part of the condensed consolidated financial statements.
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Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS
(Unaudited)
Six Months Ended Three Months Ended
(in thousands)(in thousands)June 30,
2020
June 30,
2019
(in thousands)March 31,
2021
March 31,
2020
Cash flows from operating activities:Cash flows from operating activities:Cash flows from operating activities:
Net incomeNet income$142,628  $195,980  Net income$72,398 $46,064 
Adjustments to reconcile net income to net cash provided by operating activities:Adjustments to reconcile net income to net cash provided by operating activities:Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and intangible assets amortizationDepreciation and intangible assets amortization41,356  27,518  Depreciation and intangible assets amortization27,082 20,702 
Operating lease right-of-use assets expenseOperating lease right-of-use assets expense10,216  8,970  Operating lease right-of-use assets expense5,699 5,075 
Deferred income tax benefitDeferred income tax benefit(15,684) (6,238) Deferred income tax benefit(3,564)(5,442)
Provision for bad debtsProvision for bad debts5,672  2,010  Provision for bad debts18 3,116 
Stock-based compensation expenseStock-based compensation expense65,071  52,922  Stock-based compensation expense35,119 30,941 
OtherOther2,099  1,536  Other975 1,553 
Changes in operating assets and liabilities:Changes in operating assets and liabilities:Changes in operating assets and liabilities:
Accounts receivableAccounts receivable79,444  (2,949) Accounts receivable159,038 117,830 
Other receivables and current assetsOther receivables and current assets44,377  11,780  Other receivables and current assets(12,071)12,013 
Other long-term assetsOther long-term assets(9,280) (1,474) Other long-term assets(1,909)(3,426)
Accounts payable, accrued expenses and current liabilitiesAccounts payable, accrued expenses and current liabilities(88,099) (38,216) Accounts payable, accrued expenses and current liabilities(80,050)(99,112)
Accrued income taxesAccrued income taxes19,576  (179) Accrued income taxes(20,954)1,006 
Deferred revenueDeferred revenue(25,678) (10,341) Deferred revenue1,204 4,784 
Other long-term liabilitiesOther long-term liabilities7,306  (1,202) Other long-term liabilities(11,878)12,308 
Net cash provided by operating activitiesNet cash provided by operating activities279,004  240,117  Net cash provided by operating activities171,107 147,412 
Cash flows from investing activities:Cash flows from investing activities:Cash flows from investing activities:
Acquisitions, net of cash acquiredAcquisitions, net of cash acquired(100,194) (285,323) Acquisitions, net of cash acquired(10,783)(2,348)
Capital expendituresCapital expenditures(16,967) (16,946) Capital expenditures(5,045)(6,987)
Other investing activitiesOther investing activities(2,405) (9,008) Other investing activities(35)(264)
Net cash used in investing activitiesNet cash used in investing activities(119,566) (311,277) Net cash used in investing activities(15,863)(9,599)
Cash flows from financing activities:Cash flows from financing activities:Cash flows from financing activities:
Principal payments on long-term debt
Principal payments on long-term debt
(75,000) —  Principal payments on long-term debt0 (75,000)
Purchase of treasury stockPurchase of treasury stock(161,029) (59,116) Purchase of treasury stock0 (161,029)
Restricted stock withholding taxes paid in lieu of issued sharesRestricted stock withholding taxes paid in lieu of issued shares(65,396) (35,605) Restricted stock withholding taxes paid in lieu of issued shares(86,049)(62,425)
Proceeds from shares issued for stock-based compensationProceeds from shares issued for stock-based compensation15,874  20,780  Proceeds from shares issued for stock-based compensation11,892 9,716 
Other financing activitiesOther financing activities—  (1,617) Other financing activities(51)
Net cash used in financing activitiesNet cash used in financing activities(285,551) (75,558) Net cash used in financing activities(74,208)(288,738)
Effect of exchange rate fluctuations on cash and cash equivalentsEffect of exchange rate fluctuations on cash and cash equivalents(1,435) 1,034  Effect of exchange rate fluctuations on cash and cash equivalents(6,281)(3,421)
Net decrease in cash and cash equivalents(127,548) (145,684) 
Net increase (decrease) in cash and cash equivalentsNet increase (decrease) in cash and cash equivalents74,755 (154,346)
Cash and cash equivalents, beginning of periodCash and cash equivalents, beginning of period872,094  777,139  Cash and cash equivalents, beginning of period912,672 872,094 
Cash and cash equivalents, end of periodCash and cash equivalents, end of period$744,546  $631,455  Cash and cash equivalents, end of period$987,427 $717,748 
Supplemental disclosure of cash flow information:Supplemental disclosure of cash flow information:Supplemental disclosure of cash flow information:
Income taxes paidIncome taxes paid$13,483  $55,700  Income taxes paid$20,641 $6,757 
Interest paidInterest paid$8,412  $144  Interest paid$2,956 $5,628 

The accompanying notes are an integral part of the condensed consolidated financial statements.


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ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY
(Unaudited)
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive (Loss)/Income
Total
Stockholders'
Equity
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive Loss
Total
Stockholders'
Equity
(in thousands)(in thousands)SharesAmountSharesAmount(in thousands)SharesRetained
Earnings
SharesAccumulated
Other
Comprehensive Loss
Total
Stockholders'
Equity
Balance, January 1, 202094,628$946  $1,188,939  $3,370,706  8,893  $(1,041,831) $(65,381) $3,453,379  
Treasury shares acquired

690  (161,029) (161,029) 
Balance, January 1, 2021Balance, January 1, 202195,266$953 $1,434,203 $3,804,593 8,694 $(1,124,102)$(17,775)$4,097,872 
Stock-based compensation activityStock-based compensation activity(70,769) (541) 48,997  (21,772) Stock-based compensation activity(87,602)(565)48,565 (39,037)
Other comprehensive lossOther comprehensive loss(24,292) (24,292) Other comprehensive loss(19,264)(19,264)
Net incomeNet income46,064  46,064  Net income72,398 72,398 
Balance, March 31, 202094,628$946  $1,118,170  $3,416,770  9,042  $(1,153,863) $(89,673) $3,292,350  
Acquisition of Livermore Software Technology, LLC1,030  (6) 501  1,531  
Stock-based compensation activity24,993  (146) 12,322  37,315  
Other comprehensive income10,288  10,288  
Net income96,564  96,564  
Balance, June 30, 202094,628$946  $1,144,193  $3,513,334  8,890  $(1,141,040) $(79,385) $3,438,048  
Balance, March 31, 2021Balance, March 31, 202195,266$953 $1,346,601 $3,876,991 8,129$(1,075,537)$(37,039)$4,111,969 
    
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive (Loss)/ Income
Total
Stockholders'
Equity
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive Loss
Total
Stockholders'
Equity
(in thousands)(in thousands)SharesAmountSharesAmount(in thousands)SharesRetained
Earnings
SharesAccumulated
Other
Comprehensive Loss
Total
Stockholders'
Equity
Balance, January 1, 201993,236$932  $867,462  $2,919,411  9,602  $(1,075,879) $(62,379) $2,649,547  
Balance, January 1, 2020Balance, January 1, 202094,628$946 $1,188,939 $3,370,706 8,893 $(1,041,831)$(65,381)$3,453,379 
Treasury shares acquiredTreasury shares acquired250  (44,856) (44,856) Treasury shares acquired690 (161,029)(161,029)
Stock-based compensation activityStock-based compensation activity(42,465) (494) 43,483  1,018  Stock-based compensation activity(70,769)(541)48,997 (21,772)
Other comprehensive lossOther comprehensive loss(7,558) (7,558) Other comprehensive loss(24,292)(24,292)
Net incomeNet income86,230  86,230  Net income46,064 46,064 
Balance, March 31, 201993,236$932  $824,997  $3,005,641  9,358  $(1,077,252) $(69,937) $2,684,381  
Treasury shares acquired80  (14,260) (14,260) 
Stock-based compensation activity14,699  (241) 22,158  36,857  
Other comprehensive income558  558  
Net income109,750  109,750  
Balance, June 30, 201993,236$932  $839,696  $3,115,391  9,197  $(1,069,354) $(69,379) $2,817,286  
Balance, March 31, 2020Balance, March 31, 202094,628$946 $1,118,170 $3,416,770 9,042$(1,153,863)$(89,673)$3,292,350 

The accompanying notes are an integral part of the condensed consolidated financial statements.

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ANSYS, INC. AND SUBSIDIARIES
NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
June 30, 2020March 31, 2021
(Unaudited)

1.Organization
ANSYS, Inc. (Ansys, we, us, our) develops and globally markets engineering simulation software and services widely used by engineers, designers, researchers and students across a broad spectrum of industries and academia, including aerospace and defense, automotive, electronics, semiconductors, energy, materials and chemical processing, turbomachinery, consumer products, healthcare, and sports.healthcare.
As defined by the accounting guidance for segment reporting, we operate as 1 segment.
Given the integrated approach to the multi-discipline problem-solving needs of our customers, a single sale of software may contain components from multiple product areas and include combined technologies. We also have a multi-year product and integration strategy that will result in new, combined products or changes to the historical product offerings. As a result, it is impracticable for us to provide accurate historical or current reporting among our various product lines.
We are closely monitoring the spread of COVID-19 and continually assessingmitigating its potential effects on our business. The COVID-19 pandemic has had, and is expected to continue to have, an adverse impact on our business employees, liquidity, financial condition, results of operations and cash flows.employees.

2.Accounting Policies
Basis of Presentation
The accompanying unaudited condensed consolidated financial statements have been prepared in accordance with accounting principles generally accepted in the United States for interim financial information for commercial and industrial companies, the instructions to Form 10-Q and Rule 10-01 of Regulation S-X. Accordingly, the accompanying unaudited condensed consolidated financial statements do not include all of the information and footnotes required by accounting principles generally accepted in the United States for complete financial statements. The accompanying unaudited condensed consolidated financial statements should be read in conjunction with our audited consolidated financial statements (and notes thereto) included in our Annual Report on Form 10-K for the year ended December 31, 2019 (20192020 (2020 Form 10-K). The condensed consolidated December 31, 20192020 balance sheet presented is derived from the audited December 31, 20192020 balance sheet included in the 20192020 Form 10-K. In our opinion, all adjustments considered necessary for a fair presentation of the financial statements have been included, and all adjustments are of a normal and recurring nature. Certain items in the condensed consolidated financial statements of prior years have been reclassified to conform to the current year's presentation. These reclassifications had no effect on reported net income, comprehensive income, cash flows, total assets or total liabilities and stockholders' equity. Operating results for the three and six months ended June 30, 2020March 31, 2021 are not necessarily indicative of the results that may be expected for any future period.
Changes inRecently Adopted Accounting Policies
Our accounting policies are described in Note 2, “Accounting Policies,” in the 2019 Form 10-K. Summarized below is the accounting guidance adopted subsequent to December 31, 2019.Guidance
Credit losses:Income taxes: In June 2016,December 2019, the Financial Accounting Standards Board (FASB) issued Accounting Standards Update (ASU) No. 2016-13, Financial Instruments - Credit Losses (Topic 326): Measurement of Credit Losses on Financial Instruments (ASU 2016-13), which modifies the measurement of expected credit losses of certain financial instruments. We adopted ASU 2016-13 on January 1, 2020 with no material impact to our condensed consolidated financial statements. Previous guidance required the allowance for doubtful accounts to be estimated based on an incurred loss model, which considered past and current conditions. ASU 2016-13 requires us to use an expected loss model that also considers reasonable and supportable forecasts of future conditions, referred to as the current expected credit loss (CECL) methodology.
Under ASU 2016-13, we make judgments as to our ability to collect outstanding receivables and provide allowances for a portion of receivables over the lifetime of the receivables. Provisions are made based upon a specific review of all significant outstanding invoices from both value and delinquency perspectives. For those invoices not specifically reviewed, provisions are estimated at differing rates based upon the age of the receivable. In determining these percentages, we consider our historical loss experience, current economic trends and future conditions.
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The changes in the allowance for doubtful accounts during the six months ended June 30, 2020 were as follows:
(in thousands)Six Months Ended June 30, 2020
Beginning balance – January 1$8,700 
Additions: Charges to costs and expenses
5,672 
Deductions: Returns and write-offs
(972)
Ending balance – June 30$13,400 
The increase in the allowance for doubtful accounts was driven by expected losses related to COVID-19.
Accounting Guidance Issued and Not Yet Adopted
Income taxes: In December 2019, the FASB issued ASU No. 2019-12, Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes (ASU 2019-12), as part of its initiative to reduce complexity in the accounting standards. The amendments in ASU 2019-12 eliminateeliminated certain exceptions related to the approach for intraperiod tax allocation, the methodology for calculating income taxes in an interim period and the recognition of deferred tax liabilities for outside basis differences. ASU 2019-12 also clarifiesclarified and simplifiessimplified other aspects of the accounting for income taxes. We adopted ASU 2019-12 is effective for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2020. Early adoption is permitted, including adoption in any interim period. We do not expect the adoption of this guidance to have aon January 1, 2021 with no material impact onto our condensed consolidated financial position or resultsstatements.
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Table of operations.Contents
Cash and Cash Equivalents
Cash and cash equivalents consist primarily of highly liquid investments such as deposits held at major banks and money market funds. Cash equivalents are carried at cost, which approximates fair value. Our cash and cash equivalents balances comprise the following:
June 30, 2020December 31, 2019 March 31, 2021December 31, 2020
(in thousands, except percentages)(in thousands, except percentages)Amount% of TotalAmount% of Total(in thousands, except percentages)Amount% of TotalAmount% of Total
Cash accountsCash accounts$518,734  69.7  $549,639  63.0  Cash accounts$548,833 55.6 $571,587 62.6 
Money market fundsMoney market funds225,812  30.3  322,455  37.0  Money market funds438,594 44.4 341,085 37.4 
TotalTotal$744,546  $872,094  Total$987,427 $912,672 

Our money market fund balances are held in various funds of two issuers. The decrease in money market funds during the six months ended June 30, 2020 was a result of redemptions for share repurchases and the Lumerical Inc. (Lumerical) acquisition. See Note 4, "Acquisitions", for additional disclosures regarding the Lumerical acquisition.

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3.Revenue from Contracts with Customers
Disaggregation of Revenue
The following table summarizes revenue:
Three Months EndedSix Months EndedThree Months Ended
(in thousands, except percentages)(in thousands, except percentages)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands, except percentages)March 31,
2021
March 31,
2020
Revenue:Revenue:Revenue:
Lease licensesLease licenses$113,209  $100,004  $158,083  $169,260  Lease licenses$65,077 $44,874 
Perpetual licensesPerpetual licenses56,132  70,495  99,088  124,283  Perpetual licenses67,527 42,956 
Software licensesSoftware licenses169,341  170,499  257,171  293,543  Software licenses132,604 87,830 
MaintenanceMaintenance203,179  185,118  403,667  366,579  Maintenance213,674 200,488 
ServiceService13,141  13,018  29,808  25,643  Service16,948 16,667 
Maintenance and serviceMaintenance and service216,320  198,136  433,475  392,222  Maintenance and service230,622 217,155 
Total revenueTotal revenue$385,661  $368,635  $690,646  $685,765  Total revenue$363,226 $304,985 
Direct revenue, as a percentage of total revenueDirect revenue, as a percentage of total revenue78.1 %79.7 %76.2 %75.4 %Direct revenue, as a percentage of total revenue71.8 %73.6 %
Indirect revenue, as a percentage of total revenueIndirect revenue, as a percentage of total revenue21.9 %20.3 %23.8 %24.6 %Indirect revenue, as a percentage of total revenue28.2 %26.4 %

Our software licenses revenue is recognized up front, while maintenance and service revenue is generally recognized over the term of the contract.
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Deferred Revenue
Deferred revenue consists of billings made or payments received in advance of revenue recognition from customer agreements. The timing of revenue recognition may differ from the timing of billings to customers. Payment terms vary by the type and location of customer and the products or services offered. The time between invoicing and when payment is due is not significant.
The changes in deferred revenue, inclusive of both current and long-term deferred revenue, during the sixthree months ended June 30,March 31, 2021 and 2020 and 2019 were as follows:
(in thousands)(in thousands)20202019(in thousands)20212020
Beginning balance – January 1Beginning balance – January 1$365,274  $343,174  Beginning balance – January 1$388,810 $365,274 
Acquired deferred revenue1,405  3,266  
Deferral of revenueDeferral of revenue661,790  675,209  Deferral of revenue362,043 308,817 
Recognition of revenueRecognition of revenue(690,646) (685,765) Recognition of revenue(363,226)(304,985)
Currency translationCurrency translation(1,635) (500) Currency translation(6,898)(3,355)
Ending balance – June 30$336,188  $335,384  
Ending balance – March 31Ending balance – March 31$380,729 $365,751 

Total revenue allocated to remaining performance obligations as of March 31, 2021 will be recognized as revenue as follows:
(in thousands)
Next 12 months$607,500
Months 13-24178,935
Months 25-3675,807
Thereafter74,259
Total revenue allocated to remaining performance obligations$936,501

Revenue allocated to remaining performance obligations represents contracted revenue that has not yet been recognized, which includes both deferred revenue and backlog. Our backlog represents installment billings for periods beyond the current quarterly billing cycle. Revenue recognized during the sixthree months ended June 30,March 31, 2021 and 2020 and 2019 included amounts in deferred revenue and backlog at the beginning of the period of $343.9$209.3 million and $305.3$191.3 million, respectively.
Total revenue allocated to remaining performance obligations as of June 30, 2020 will be recognized as revenue as follows:
(in thousands)
Next 12 months$552,093 
Months 13-24179,925 
Months 25-3669,539 
Thereafter44,913 
Total revenue allocated to remaining performance obligations$846,470 
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4.Acquisitions
During the quarter ended March 31, 2021, we completed an acquisition with a purchase price of $10.8 million to enhance our customers' experience. The effects of the business combination were not material to our consolidated results of operations. The preliminary purchase allocations are $5.6 million of identifiable intangible assets, $6.2 million of goodwill and $1.0 million of net liabilities. The preliminary fair values of the assets acquired and liabilities assumed may change as additional information becomes available during the measurement period (up to one year from the acquisition date).
On December 1, 2020, we acquired 100% of the shares of Analytical Graphics, Inc. (AGI), a premier provider of mission-simulation, modeling, testing and analysis software for aerospace, defense and intelligence applications. The acquisition expands the scope of our offerings, empowering users to solve challenges by simulating from the chip level all the way to a customer's entire mission. The transaction closed with a purchase price of $722.5 million.
On April 1, 2020, we acquired 100% of the shares of Lumerical Inc. (Lumerical), a leading developer of photonic design and simulation tools, for a purchase price of approximately $107.5 million, paid in cash. The acquisition adds best-in-class photonic products to our multiphysics portfolio, providing customers with a full set of solutions to solve their next-generation product challenges.
The assets and liabilities of Lumerical have been recorded based upon management's estimates of their fair market values as of the acquisition date. The following tables summarize the fair value of consideration transferred and the fair values of identified assets acquired and liabilities assumed at the acquisition date:
Fair Value of Consideration Transferred:
(in thousands)
Cash$107,545 

Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed:
(in thousands)
Cash$11,844 
Accounts receivable and other tangible assets3,385 
Developed software and core technologies31,614 
Customer lists1,616 
Trade names1,756 
Accounts payable and other liabilities(1,108)
Deferred revenue(1,405)
Net deferred tax liabilities(6,305)
Total identifiable net assets$41,397 
Goodwill$66,148 
The goodwill, which is not tax-deductible, is attributed to intangible assets that do not qualify for separate recognition, including the assembled workforce of the acquired business and the synergies expected to arise as a result of the acquisition of Lumerical.
The fair values of the assets acquired and liabilities assumed are based on preliminary calculations. The estimates and assumptions for these items are subject to change as additional information about what was known and knowable at the acquisition date is obtained during the measurement period (up to one year from the acquisition date).
We determined the fair value of our intangible assets using various valuation techniques, including the relief-from-royalty method and the multi-period excess earnings method. These models utilize certain unobservable inputs classified as Level 3 measurements as defined by ASC 820, Fair Value Measurements and Disclosures. The determination of fair value requires considerable judgment and is sensitive to changes in underlying assumptions, estimates and market factors. Estimating fair value requires us to make assumptions and estimates regarding our future plans, as well as industry and economic conditions. These assumptions and estimates include, but are not limited to: royalty rate, discount rate and attrition rate.
The valuation method and assumptions used to determine the fair value of the intangible assets acquired with the Lumerical acquisition are as follows:
Intangible AssetUseful LifeValuation MethodAssumptions
Developed software and core technologies10 yearsMulti-period excess earnings Discount rate: 16.5%
Trade names6 yearsRelief-from-royaltyRoyalty rate: 2.0%
Discount rate: 16.5%
Customer lists10 yearsMulti-period excess earningsAttrition rate: 10.0%
Discount rate: 12.5%
The operating results of Lumerical have been included in our condensed consolidated financial statements since the date of acquisition. The effects of the business combination were not material to our consolidated results of operations.

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On November 1, 2019, we completed the acquisition of 100% of the shares of Livermore Software Technology (LST), the premier provider of explicit dynamics and other advanced finite element analysis technology, for a purchase price of $781.5 million, inclusive of final net working capital adjustments. The acquisition empowers our customers to solve a new class of engineering challenges, including developing safer automobiles, aircraft and trains while reducing or even eliminating the need for costly physical testing. The purchase price was paid with $472.8 million in cash and 1.4 million shares of our common stock valued at $308.7 million. We issued $307.2 million of common stock in an unregistered offering to the prior owners of LST and the remaining $1.5 million was issued from shares held in treasury.
On February 1, 2019, we completed the acquisition of 100% of the shares of Granta Design Limited (Granta Design) for a purchase price of $208.7 million, paid in cash and inclusive of final net working capital adjustments. The acquisition of Granta Design, the premier provider of materials information technology, expands our portfolio into this important area, giving customers access to materials intelligence, including data that is critical to successful simulations.
Additionally, during the year ended December 31, 2019, we acquired DYNARDO GmbH, Helic, Inc. (Helic) and DfR Solutions to combine the acquired technologies with our existing comprehensive multiphysics portfolio. These acquisitions were not individually significant. The combined purchase price of these other acquisitions was $138.6 million, paid in cash and inclusive of final net working capital adjustments.
The operating results of each 2019 acquisition have been included in our condensed consolidated financial statements since each respective date of acquisition.
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5.Other Receivables and Current Assets and Other Accrued Expenses and Liabilities, and Other Long-Term Liabilities
Our other receivables and current assets and other accrued expenses and liabilities, and other long-term liabilities comprise the following balances:
(in thousands)(in thousands)June 30,
2020
December 31,
2019
(in thousands)March 31,
2021
December 31,
2020
Receivables related to unrecognized revenueReceivables related to unrecognized revenue$112,187  $177,679  Receivables related to unrecognized revenue$135,828 $192,154 
Income taxes receivable, including overpayments and refundsIncome taxes receivable, including overpayments and refunds47,859  26,672  Income taxes receivable, including overpayments and refunds59,876 31,628 
Prepaid expenses and other current assetsPrepaid expenses and other current assets45,992  45,268  Prepaid expenses and other current assets83,016 44,740 
Total other receivables and current assetsTotal other receivables and current assets$206,038  $249,619  Total other receivables and current assets$278,720 $268,522 
Payroll-related accrualsPayroll-related accruals41,431 20,117 
Accrued vacationAccrued vacation34,478  24,336  Accrued vacation39,156 34,132 
Consumption, VAT and sales tax liabilities
Consumption, VAT and sales tax liabilities
18,377  36,398  Consumption, VAT and sales tax liabilities28,370 45,156 
Accrued expenses and other current liabilities
Accrued expenses and other current liabilities
89,415  82,213  Accrued expenses and other current liabilities95,665 100,061 
Total other accrued expenses and liabilitiesTotal other accrued expenses and liabilities$142,270  $142,947  Total other accrued expenses and liabilities$204,622 $199,466 
Uncertain tax positions$67,341  $64,375  
Other long-term liabilities28,742  32,051  
Total other long-term liabilities
$96,083  $96,426  

Receivables related to unrecognized revenue represent the current portion of billings made for customer contracts that have not yet been recognized as revenue.

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6.Earnings Per Share
Basic earnings per share (EPS) amounts are computed by dividing earnings by the weighted average number of common shares outstanding during the period. Diluted EPS amounts assume the issuance of common stock for all potentially dilutive equivalents outstanding. To the extent stock awards are anti-dilutive, they are excluded from the calculation of diluted EPS.
The details of basic and diluted EPS are as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands, except per share data)(in thousands, except per share data)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands, except per share data)March 31,
2021
March 31,
2020
Net incomeNet income$96,564  $109,750  $142,628  $195,980  Net income$72,398 $46,064 
Weighted average shares outstanding – basicWeighted average shares outstanding – basic85,651  83,978  85,724  83,871  Weighted average shares outstanding – basic86,808 85,798 
Dilutive effect of stock plansDilutive effect of stock plans1,283  1,505  1,428  1,617  Dilutive effect of stock plans1,178 1,571 
Weighted average shares outstanding – dilutedWeighted average shares outstanding – diluted86,934  85,483  87,152  85,488  Weighted average shares outstanding – diluted87,986 87,369 
Basic earnings per shareBasic earnings per share$1.13  $1.31  $1.66  $2.34  Basic earnings per share$0.83 $0.54 
Diluted earnings per shareDiluted earnings per share$1.11  $1.28  $1.64  $2.29  Diluted earnings per share$0.82 $0.53 
Anti-dilutive sharesAnti-dilutive shares26  —  27  —  Anti-dilutive shares27 28 

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7.Goodwill and Intangible Assets
Intangible assets are classified as follows:
June 30, 2020December 31, 2019 March 31, 2021December 31, 2020
(in thousands)(in thousands)Gross
Carrying
Amount
Accumulated
Amortization
Gross
Carrying
Amount
Accumulated
Amortization
(in thousands)Gross
Carrying
Amount
Accumulated
Amortization
Gross
Carrying
Amount
Accumulated
Amortization
Finite-lived intangible assets:Finite-lived intangible assets:Finite-lived intangible assets:
Developed software and core technologiesDeveloped software and core technologies$665,779  $(349,705) $635,063  $(332,622) Developed software and core technologies$862,677 $(382,824)$859,620 $(370,338)
Customer lists and contract backlogCustomer lists and contract backlog258,239  (129,149) 269,629  (132,596) Customer lists and contract backlog283,592 (137,680)288,085 (136,093)
Trade namesTrade names155,716  (119,543) 154,259  (117,379) Trade names175,090 (123,855)175,626 (122,392)
TotalTotal$1,079,734  $(598,397) $1,058,951  $(582,597) Total$1,321,359 $(644,359)$1,323,331 $(628,823)
Indefinite-lived intangible asset:Indefinite-lived intangible asset:Indefinite-lived intangible asset:
Trade nameTrade name$357  $357  Trade name$357 $357 
Finite-lived intangible assets are amortized over their estimated useful lives of two years to seventeen years. Amortization expense for the intangible assets reflected above was $13.9$19.4 million and $8.6$13.7 million for the three months ended June 30,March 31, 2021 and 2020, and 2019, respectively. Amortization expense for the intangible assets reflected above was $27.6 million and $16.9 million for the six months ended June 30, 2020 and 2019, respectively.
As of June 30, 2020,March 31, 2021, estimated future amortization expense for the intangible assets reflected above was as follows:
(in thousands)(in thousands) (in thousands) 
Remainder of 2020$27,679  
202155,045  
Remainder of 2021Remainder of 2021$55,244 
2022202256,038  202277,005 
2023202355,690  202378,298 
2024202454,226  202477,451 
2025202550,507  202574,950 
2026202672,559 
ThereafterThereafter182,152  Thereafter241,493 
Total intangible assets subject to amortizationTotal intangible assets subject to amortization481,337  Total intangible assets subject to amortization677,000 
Indefinite-lived trade nameIndefinite-lived trade name357  Indefinite-lived trade name357 
Other intangible assets, netOther intangible assets, net$481,694  Other intangible assets, net$677,357 
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The changes in goodwill during the sixthree months ended June 30,March 31, 2021 and 2020 and 2019 were as follows:
(in thousands)(in thousands)20202019(in thousands)20212020
Beginning balance – January 1Beginning balance – January 1$2,413,280  $1,572,455  Beginning balance – January 1$3,038,306 $2,413,280 
Acquisitions and adjustments(1)
Acquisitions and adjustments(1)
69,330  209,093  
Acquisitions and adjustments(1)
8,215 (336)
Currency translationCurrency translation(8,311) (5,814) Currency translation(9,738)(14,260)
Ending balance – June 30$2,474,299  $1,775,734  
Ending balance – March 31Ending balance – March 31$3,036,783 $2,398,684 
(1) In accordance with the accounting for business combinations, we recorded adjustments to goodwill for the effect of changes in the provisional fair values of the assets acquired and liabilities assumed during the measurement period (up to one year from the acquisition date) as we obtained new information about facts and circumstances that existed as of the acquisition date that, if known, would have affected the measurement of the amounts recognized as of that date. Such adjustments are not material to our consolidated financial statements.
During the first quarter of 2020,2021, we completed the annual impairment test for goodwill and the indefinite-lived intangible asset and determined that these assets had not been impaired as of the test date, January 1, 2020. Given the adverse economic and market conditions caused by COVID-19, we considered a variety of qualitative factors to determine if an additional quantitative impairment test was required subsequent to our annual impairment test. Based on a variety of factors, including the excess of the fair values over the carrying amounts in the most recent impairment test, we determined it was not more likely than not that an impairment existed as of March 31, 2020.2021. No other events or circumstances changed during the sixthree months ended June 30, 2020March 31, 2021 that would indicate that the fair values of our reporting unit and indefinite-lived intangible asset are below their carrying amounts.

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8.Fair Value Measurement
The valuation hierarchy for disclosure of assets and liabilities reported at fair value prioritizes the inputs for such valuations into three broad levels:
Level 1: quoted prices (unadjusted) 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 for the asset or liability, either directly or indirectly through market corroboration, for substantially the full term of the financial instrument; or
Level 3: unobservable inputs based on our own assumptions used to measure assets and liabilities at fair value.
A financial asset's or liability's classification within the hierarchy is determined based on the lowest level input that is significant to the fair value measurement.
Our current and long-term debt is classified within Level 2 of the fair value hierarchy because these borrowings are not actively traded and have a variable interest rate structure based upon market rates. The carrying amount of our current and long-term debt approximates the estimated fair value. See Note 10, "Debt", for additional information on our borrowings.
The following tables provide the assets carried at fair value and measured on a recurring basis:
 Fair Value Measurements at Reporting Date Using:  Fair Value Measurements at Reporting Date Using:
(in thousands)(in thousands)June 30,
2020
Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
(in thousands)March 31,
2021
Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
AssetsAssetsAssets
Cash equivalentsCash equivalents$225,812  $225,812  $—  $—  Cash equivalents$438,594 $438,594 $0 $0 
Short-term investmentsShort-term investments$433  $—  $433  $—  Short-term investments$516 $0 $516 $0 
Deferred compensation plan investmentsDeferred compensation plan investments$1,114  $1,114  $—  $—  Deferred compensation plan investments$1,601 $1,601 $0 $0 
 Fair Value Measurements at Reporting Date Using:  Fair Value Measurements at Reporting Date Using:
(in thousands)(in thousands)December 31, 2019Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
(in thousands)December 31, 2020Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
AssetsAssetsAssets
Cash equivalentsCash equivalents$322,455  $322,455  $—  $—  Cash equivalents$341,085 $341,085 $$
Short-term investmentsShort-term investments$288  $—  $288  $—  Short-term investments$479 $$479 $
Deferred compensation plan investmentsDeferred compensation plan investments$1,110  $1,110  $—  $—  Deferred compensation plan investments$1,602 $1,602 $$

The cash equivalents in the preceding tables represent money market funds, valued at net asset value, with carrying values which approximate their fair values because of their short-term nature.
The short-term investments in the preceding tables represent deposits held by certain foreign subsidiaries. The deposits have fixed interest rates with original maturities ranging from three months to one year.
The deferred compensation plan investments in the preceding tables represent trading securities held in a rabbi trust for the benefit of non-employee directors who elected to diversify their vested deferred stock awards.directors. These securities consist of mutual funds traded in an active market with quoted prices. As a result, the plan assets are classified as Level 1 in the fair value hierarchy. The plan assets are recorded within other long-term assets on our condensed consolidated balance sheets.

9.Leases
We primarily have operating leases for office space and leased cars included in ourOur right-of-use (ROU) assets and lease liabilities.liabilities primarily include operating leases for office space. Our executive offices and those related to certain domestic product development, marketing, production and administration are located in a 186,000 square foot office facility in Canonsburg, Pennsylvania. The term of the lease is 183 months, which began on October 1, 2014 and expires on December 31, 2029. The lease agreement includes options to renew the contract through August 2044, an option to lease additional space in January 2025 and an option to terminate the lease in December 2025. No options are included in the
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lease liability as renewal is not reasonably certain. In addition, we are reasonably certain we will not terminate the lease agreement. Absent the exercise of options in the lease, our remaining base rent (inclusive of property taxes and certain operating costs) is $4.5 million per annum through 2024 and $4.7 million per annum for 2025 - 2029.
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The components of our global lease cost reflected in the condensed consolidated statements of income are as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands)(in thousands)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands)March 31,
2021
March 31,
2020
Lease liability costLease liability cost$6,280  $5,610  $12,498  $10,895  Lease liability cost$7,001 $6,218 
Variable lease cost not included in the lease liability(1)
Variable lease cost not included in the lease liability(1)
1,224  924  2,321  1,721  
Variable lease cost not included in the lease liability(1)
1,282 1,097 
Total lease cost Total lease cost7,504  6,534  14,819  12,616   Total lease cost$8,283 $7,315 
(1) Variable lease cost includes common area maintenance, property taxes, utilities and fluctuations in rent due to a change in an index or rate.
Other information related to operating leases is as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands)(in thousands)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands)March 31,
2021
March 31,
2020
Cash paid for amounts included in the measurement of the lease liability:Cash paid for amounts included in the measurement of the lease liability:Cash paid for amounts included in the measurement of the lease liability:
Operating cash flows from operating leases Operating cash flows from operating leases$(5,668) $(4,977) $(11,401) $(9,309)  Operating cash flows from operating leases$(6,827)$(5,733)
Right-of-use assets obtained in exchange for new operating lease liabilitiesRight-of-use assets obtained in exchange for new operating lease liabilities642  9,272  20,243  23,107  Right-of-use assets obtained in exchange for new operating lease liabilities587 19,601 
As of June 30,As of March 31,
2020201920212020
Weighted-average remaining lease term of operating leasesWeighted-average remaining lease term of operating leases7.7 years7.8 yearsWeighted-average remaining lease term of operating leases7.1 years8.0 years
Weighted-average discount rate of operating leasesWeighted-average discount rate of operating leases3.3 %3.3 %Weighted-average discount rate of operating leases3.1 %3.4 %

The maturity schedule of the operating lease liabilities as of June 30, 2020March 31, 2021 is as follows:
(in thousands)(in thousands) (in thousands) 
Remainder of 2020$11,395  
202122,531  
Remainder of 2021Remainder of 2021$20,283 
2022202219,549  202224,304 
2023202314,962  202319,027 
2024202414,245  202417,956 
2025202516,877 
ThereafterThereafter57,847  Thereafter49,834 
Total future lease payments Total future lease payments140,529   Total future lease payments148,281 
Less: Present value adjustment
Less: Present value adjustment
(17,810) Less: Present value adjustment(15,787)
Present value of future lease payments(1)

Present value of future lease payments(1)

$122,719  
Present value of future lease payments(1)
$132,494 
(1) Includes the current portion of operating lease liabilities of $19.1$23.0 million, which is reflected in other accrued expenses and liabilities in the condensed consolidated balance sheets.
There were no material leases that have been signed but not yet commenced as of June 30, 2020.

March 31, 2021.
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10.Debt
In February 2019, we entered into a credit agreement for a $500.0 million unsecured revolving credit facility, which includes a $50.0 million sublimit for the issuance of letters of credit (Revolving Credit Facility), with Bank of America, N.A. as the Administrative Agent. The Revolving Credit Facility becomes payable in full on February 22, 2024 and is available for general corporate purposes, including, among others, to finance acquisitions and capital expenditures. The Revolving Credit Facility had not been utilized as of March 31, 2021.
In connection with the acquisition of LST, weWe amended our credit agreement (Amended Credit Agreement) on October 16, 2019. The amendment provided for a new $500.0 million unsecured term loan facility to finance our acquisition of Livermore Software Technology (LST) in the acquisition.fourth quarter of 2019. The term loan was funded on November 1, 2019 and matures on November 1, 2024. Principal on the term loan will be payable on the last business day of each fiscal quarter commencing with the ninth full fiscal quarter after the funding date at a rate of 1.25% per quarter, increasing to 2.50% per quarter after the next four fiscal quarters. We repaid $75.0 million of the unsecured term loan balance in January 2020 prior to the scheduled maturity dates in 2022 ($25.0 million) and 2023 ($50.0 million).
In connection with the acquisition of AGI, we entered into a credit agreement (AGI Credit Agreement) on November 9, 2020, with Bank of America, N.A. as the Administrative Agent. The AGI Credit Agreement provided for a new $375.0 million unsecured term loan facility to finance a portion of the cash consideration for the acquisition. The term loan was funded on December 1, 2020 and matures on November 1, 2024. Principal on the term loan will be payable on the last business day of each fiscal quarter commencing with the fifth full fiscal quarter after the funding date at a rate of 1.25% per quarter, increasing to 2.50% per quarter after the next four fiscal quarters.
Borrowings under the Amended Credit Agreement and the AGI Credit Agreement (collectively, the Credit Agreements) accrue interest at the Eurodollar rate plus an applicable margin or at the base rate, at our election. For the quarter ended June 30, 2020,March 31, 2021, we elected to apply the Eurodollar rate. The base rate is the applicable margin plus the highest of (i) the federal funds rate plus 0.500%, (ii) the Bank of America prime rate and (iii) the Eurodollar rate plus 1.000%. The applicable margin for these borrowings is a percentage per annum based on the lower of (1) a pricing level determined by our then-current consolidated leverage ratio and (2) a pricing level determined by our debt ratings (if such debt ratings exist). This results in a margin ranging from 1.125% to 1.750% and 0.125% to 0.750% for the Eurodollar rate and base rate, respectively. respectively.
The weighted-average interest rates in effect duringfor the three and six months ended June 30,March 31, 2021 and 2020 were 2.575%1.45% and 2.793%3.03%, respectively. As of June 30, 2020,March 31, 2021, the rate in effect for the Credit Agreements was 1.433%1.45%.
The Amended Credit Agreement containsAgreements contain language in the event the Eurodollar rate is not available due to LIBOR changes. If this occurs, the base rate will be used for borrowings. However, we may work with the Administrative Agent to amend the agreementCredit Agreements to replace the Eurodollar rate with (i) one or more rates based on the Secured Overnight Financing Rate (SOFR); or (ii) another alternative benchmark rate, subject to the lenders' approval.
The Amended Credit Agreement containsAgreements contain customary representations and warranties, affirmative and negative covenants and events of default. The Amended Credit AgreementAgreements also containseach contain a financial covenant requiring us to maintain a consolidated leverage ratio of indebtedness to earnings before interest, taxes, depreciation and amortization not exceeding 3.50 to 1.00 as of the end of any fiscal quarter (for the four-quarter period ending on such date) with an opportunity for a temporary increase in such consolidated leverage ratio to 4.00 to 1.00 upon the consummation of certain qualified acquisitions for which the aggregate consideration is at least $250.0 million.
As of June 30, 2020March 31, 2021 and December 31, 2019, there were no outstanding borrowings under the unsecured Revolving Credit Facility, and2020, the carrying valuevalues of the term loan was $423.7loans were $798.2 million, which is net of $1.3$1.8 million of unamortized debt issuance costs, and $498.5$798.1 million, which is net of $1.5$1.9 million of unamortized debt issuance costs, respectively. The next principal payment on the term loan is not required until 2024. We were in compliance with all covenants as of June 30, 2020March 31, 2021 and December 31, 2019.2020.


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11.Income Taxes
Our income before income tax provision,benefit, income tax provisionbenefit and effective tax rates were as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands, except percentages)(in thousands, except percentages)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands, except percentages)March 31,
2021
March 31,
2020
Income before income tax provision$112,585  $129,941  $145,909  $228,607  
Income tax provision16,021  20,191  3,281  32,627  
Income before income tax benefitIncome before income tax benefit$47,623 $33,324 
Income tax benefitIncome tax benefit(24,775)(12,740)
Effective tax rateEffective tax rate14.2 %15.5 %2.2 %14.3 %Effective tax rate(52.0)%(38.2)%

Tax expensebenefit for the first half ofthree months ended March 31, 2021 and 2020 benefitedwas due to increased tax deductions related to stock compensation, benefits, many of which were recognized discretelydiscretely. These tax benefits were in excess of tax expense at the first quarter.annualized effective tax rate for the three months ended March 31, 2021 and 2020, resulting in a net tax benefit. Our expected annualized effective tax rate remains positive for 2021.

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12.Stock Repurchase Program
Under our stock repurchase program, we repurchased shares as follows:
Six Months EndedThree Months Ended
(in thousands, except per share data)(in thousands, except per share data)June 30,
2020
June 30,
2019
(in thousands, except per share data)March 31,
2021
March 31,
2020
Number of shares repurchasedNumber of shares repurchased690330  Number of shares repurchased0690 
Average price paid per shareAverage price paid per share$233.48  $179.41  Average price paid per share$0 $233.48 
Total costTotal cost$161,029  $59,116  Total cost$0 $161,029 
All of the shares of common stock repurchased during the first six months of 2020 were repurchased in the first quarter of 2020.
As of June 30, 2020,March 31, 2021, 2.8 million shares remained available for repurchase under the program.

13.Stock-Based Compensation
Total stock-based compensation expense and its net impact on basic and diluted earnings per share are as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands, except per share data)(in thousands, except per share data)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands, except per share data)March 31,
2021
March 31,
2020
Cost of sales:Cost of sales:Cost of sales:
Maintenance and serviceMaintenance and service$3,464  $2,374  $6,330  $3,602  Maintenance and service$3,562 $2,866 
Operating expenses:Operating expenses:Operating expenses:
Selling, general and administrativeSelling, general and administrative16,319  14,503  31,463  27,634  Selling, general and administrative17,223 15,144 
Research and developmentResearch and development14,347  12,245  27,278  21,686  Research and development14,334 12,931 
Stock-based compensation expense before taxesStock-based compensation expense before taxes34,130  29,122  65,071  52,922  Stock-based compensation expense before taxes35,119 30,941 
Related income tax benefitsRelated income tax benefits(10,883) (9,152) (36,789) (20,228) Related income tax benefits(42,625)(25,906)
Stock-based compensation expense, net of taxesStock-based compensation expense, net of taxes$23,247  $19,970  $28,282  $32,694  Stock-based compensation expense, net of taxes$(7,506)$5,035 
Net impact on earnings per share:Net impact on earnings per share:Net impact on earnings per share:
Basic earnings per shareBasic earnings per share$(0.27) $(0.24) $(0.33) $(0.39) Basic earnings per share$0.09 $(0.06)
Diluted earnings per shareDiluted earnings per share$(0.27) $(0.23) $(0.32) $(0.38) Diluted earnings per share$0.09 $(0.06)

Stock-based compensation is a net benefit for the three months ended March 31, 2021. The tax benefits on stock-based compensation exceed the gross stock-based compensation expense due to increased excess tax benefits recognized related to awards issued in prior periods that were either exercised or released in the current period.
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14.Geographic Information
Revenue to external customers is attributed to individual countries based upon the location of the customer. Revenue by geographic area is as follows:
Three Months EndedSix Months Ended Three Months Ended
(in thousands)(in thousands)June 30,
2020
June 30,
2019
June 30,
2020
June 30,
2019
(in thousands)March 31,
2021
March 31,
2020
United StatesUnited States$184,143  $137,789  $309,256  $278,451  United States$152,701 $125,113 
JapanJapan55,849  47,042  93,208  80,615  Japan42,015 37,359 
GermanyGermany27,274  25,879  57,371  56,306  Germany31,346 30,097 
South KoreaSouth Korea17,461  40,853  33,022  55,931  South Korea22,398 15,561 
FranceFrance15,386 15,469 
Other Europe, Middle East and Africa (EMEA)
Other Europe, Middle East and Africa (EMEA)
60,083  67,212  119,393  127,076  Other Europe, Middle East and Africa (EMEA)56,543 43,841 
Other internationalOther international40,851  49,860  78,396  87,386  Other international42,837 37,545 
Total revenueTotal revenue$385,661  $368,635  $690,646  $685,765  Total revenue$363,226 $304,985 
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Property and equipment by geographic area is as follows:
(in thousands)(in thousands)June 30,
2020
December 31,
2019
(in thousands)March 31,
2021
December 31,
2020
United StatesUnited States$62,113  $59,473  United States$62,890 $65,633 
France5,593  3,657  
IndiaIndia5,479  5,660  India7,077 7,408 
GermanyGermany4,879  4,237  Germany5,541 5,277 
United Kingdom3,600  4,194  
FranceFrance5,239 5,749 
Other EMEAOther EMEA1,947  1,875  Other EMEA5,688 5,847 
Other internationalOther international5,181  4,540  Other international6,772 6,589 
Total property and equipment, netTotal property and equipment, net$88,792  $83,636  Total property and equipment, net$93,207 $96,503 

15.Contingencies and Commitments
We are subject to various investigations, claims and legal proceedings that arise in the ordinary course of business, including commercial disputes, labor and employment matters, tax audits, alleged infringement of intellectual property rights and other matters. In our opinion, the resolution of pending matters is not expected to have a material adverse effect on our condensed consolidated results of operations, cash flows or financial position. However, each of these matters is subject to various uncertainties and it is possible that an unfavorable resolution of one or more of these proceedings could materially affect our results of operations, cash flows or financial position.
Our Indian subsidiary has several service tax audits pending that have resulted in formal inquiries being received on transactions through mid-2012. We could incur tax charges and related liabilities of approximately $7.0$7.4 million. As such charges are not probable at this time, a reserve has not been recorded on the condensed consolidated balance sheet as of June 30, 2020.March 31, 2021. The service tax issues raised in our notices and inquiries are very similar to the case, M/s Microsoft Corporation (I) (P) Ltd. Vs. Commissioner of Service Tax, New Delhi, wherein the Delhi Customs, Excise and Service Tax Appellate Tribunal (CESTAT) issued a favorable ruling to Microsoft. The Microsoft ruling was subsequently challenged in the Supreme Court by the Indian tax authority and a decision is still pending. We can provide no assurances on the impact that the present Microsoft case’s decision will have on our cases.cases, however, an unfavorable ruling in the Microsoft case may impact our assessment of probability and result in the recording of a $7.4 million reserve. We are uncertain as to when these service tax matters will be concluded.
We sell software licenses and services to our customers under contractual agreements. Such agreements generally include certain provisions indemnifying the customer against claims of intellectual property infringement or non-compliance to contractual terms and conditions by third parties arising from such customer’s usage of our products or services. To date, payments related to these indemnification provisions have been immaterial. For several reasons, including the lack of prior material indemnification claims, we cannot determine the maximum amount of potential future payments, if any, related to such indemnification provisions.

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REPORT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM
To the Board of Directors and Stockholders of ANSYS, Inc.
Results of Review of Interim Financial Information
We have reviewed the accompanying condensed consolidated balance sheet of ANSYS, Inc. and subsidiaries (the “Company”"Company") as of June 30, 2020,March 31, 2021, the related condensed consolidated statements of income, comprehensive income, and stockholders’ equity for the three-month and six-month periods ended June 30, 2020 and 2019, and of cash flows for the six-monththree-month periods ended June 30,March 31, 2021 and 2020, and 2019 and the related notes (collectively referred to as the “interim"interim financial information”information"). Based on our reviews, we are not aware of any material modifications that should be made to the accompanying interim financial information for it to be in conformity with accounting principles generally accepted in the United States of America.

We have previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States) (PCAOB), the consolidated balance sheet of the Company as of December 31, 2019,2020, and the related consolidated statements of income, comprehensive income, stockholders’ equity and cash flows for the year then ended (not presented herein); and in our report dated February 27, 2020,24, 2021, we expressed an unqualified opinion on those consolidated financial statements. In our opinion, the information set forth in the accompanying condensed consolidated balance sheet as of December 31, 2019,2020, is fairly stated, in all material respects, in relation to the consolidated balance sheet from which it has been derived.

Basis for Review Results

This interim financial information is the responsibility of the Company's management. We are a public accounting firm registered with the 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 reviews in accordance with standards of the PCAOB. A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters. It is substantially less in scope than an audit conducted in accordance with the standards of the PCAOB, the objective of which is the expression of an opinion regarding the financial statements taken as a whole. Accordingly, we do not express such an opinion.

/s/ Deloitte & Touche LLP
Pittsburgh, Pennsylvania
AugustMay 5, 20202021



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Item 2.Management’s Discussion and Analysis of Financial Condition and Results of Operations
The following discussion should be read in conjunction with the accompanying unaudited condensed consolidated financial statements and notes thereto for the sixthree months ended June 30, 2020,March 31, 2021, and with our audited consolidated financial statements and notes thereto for the year ended December 31, 20192020 included in the 20192020 Form 10-K filed with the Securities and Exchange Commission. The discussion and analysis of our financial condition and results of operations are based upon our condensed consolidated financial statements, which have been prepared in accordance with generally accepted accounting principles (GAAP).
Business:
Ansys, a Delaware corporation formed in 1994, develops and globally markets engineering simulation software and services widely used by engineers, designers, researchers and students across a broad spectrum of industries and academia, including aerospace and defense, automotive, electronics, semiconductors, energy, materials and chemical processing, turbomachinery, consumer products, healthcare, and sports.healthcare. Headquartered south of Pittsburgh, Pennsylvania, we employed approximately 4,4004,800 people as of June 30, 2020.March 31, 2021. We focus on the development of open and flexible solutions that enable users to analyze designs directly on the desktop, providingwhich can be delivered both on-premises and in the cloud. We provide a common platform for fast, efficient and cost-conscious product development, from design concept to final-stage testing and validation. We distribute our suite of simulation technologies through direct sales offices in strategic, global locations and a global network of independent resellers and distributors (collectively, channel partners) and direct sales offices in strategic, global locations.. It is our intention to continue to maintain this hybrid sales and distribution model.
Our strategy of Pervasive Engineering Simulation seeks to deepen the use of simulation in our core, to amplify usage of simulation throughout the product lifecycle and to embed simulation into our partners' ecosystems. The engineering software simulation market is strong and growing. The market growth is driven by customers’ needs for rapid, quality innovation in a cost-efficient manner, enabling faster time to market of new products and lower warranty costs. While the transition away from physical prototyping toward simulation is prevalent through all industries, simulation demand is heightened by investments in high-growth solutions, including 5G, electrification, autonomous and the IIoT. Our strategy of Pervasive Engineering Simulation is aligned with this market growth.
We license our technology to businesses, educational institutions and governmental agencies. Growth in our revenue is affected by the strength of global economies, general business conditions, currency exchange rate fluctuations, customer budgetary constraints and the competitive position of our products. We believe that the features, functionality and integrated multiphysics capabilities of our software products are as strong as they have ever been. However, the software business is generally characterized by long sales cycles. These long sales cycles increase the difficulty of predicting sales for any particular quarter. We make many operational and strategic decisions based upon short- and long-term sales forecasts that are impacted not only by these long sales cycles, but also by current global economic conditions, including the impact of the current COVID-19 pandemic. As a result, we believe that our overall performance is best measured by fiscal year results rather than by quarterly results.
Management considers the competition and price pressure that it faces in the short- and long-term by focusing on expanding the breadth, depth, ease of use and quality of the technologies, features, functionality and integrated multiphysics capabilities of our software products as compared to our competitors; investing in research and development to develop new and innovative products and increase the capabilities of our existing products; supplying new products and services; focusing on customer needs, training, consulting and support; and enhancing our distribution channels. We also consider acquisitions to supplement our global engineering talent, product offerings and distribution channels.
Overview:
Update on the Impact of COVID-19
We are closely monitoringAs we moved into 2021, we continuously worked to mitigate the spreadeffects of COVID-19 and continually assessing its current and potential effects on our business. The COVID-19 pandemic has had, and is expected to continue to have, an adverse impact on our business employees, liquidity, financial condition, resultsas described in our 2020 Form 10-K. The health and safety of operations and cash flows.
At the onset of the crisis, we took action to enable our employees and their families, our partners and our broad Ansys community around the world remain a high priority. We are continuing to work from home. We closed our offices (including our corporate headquarters) and transitioned to amonitor the situation, but as of now remote work environment in North America, Asia and Europe and implemented certain travel restrictions, both of which have disrupted how we operate our business. While most of our offices have since reopened, many of our locations have limited access or have few employees working on site. Remote access remains the primary means of work for a majority of our workforce. As we prepare for a broader employee base to return to the office later in the year, we are developing new flexible work arrangements. Remote work arrangements have not adversely affected our ability to maintain effective financial operations, including our financial reporting systems, internal controls over financial reporting and disclosure controls and procedures. We expect to continue to maintain these effective controls as we continue to work remotely during the COVID-19 pandemic.
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The impact from the rapidly changing market and economic conditions due to the COVID-19 pandemic has disrupted the business of our customers and partners, and has impacted our business and consolidated results of operations. Our current expectations regarding future performance are subject to significant uncertainty and dependent upon how widespread the virus becomes, theremaining duration and severity of the outbreak,pandemic, the geographic markets affected, the actions taken by governmental authorities to contain the spread of the virus including the shelter-in-place orders,and variants, the nature and scope of government economic recovery measures, and the widespread availability, consumption and reliability of vaccines, among other factors. The spread of the virus and its variants and economic deterioration caused by the virusthem have had an adverse impact on our business and, in the future, could have a material adverse impact on our business, as well as on our ability to achieve theour financial guidance. We continue to adjust our spending to reflect our expectations for the pace at which economic recovery will occur. These adjustments include slowingoccur, while balancing the pace of our hiringneed to invest for long-term opportunities. We have also maintained and reducing non-headcount-related discretionary spending, as well as spending less on certain facilities and infrastructure projects. However, we have not and do not intend to reducemaintain our spending on criticalcommitment to invest in our acquisitions, research and development, and certain digital transformation projects, such asin particular our customer relationship managementCustomer Relationship Management (CRM) system and human resources information system (HRIS) projects, as those projects are critical to our ability to operate efficiently and scale the business for future growth. In addition,During the first quarter of 2021, we continueimplemented enhancements to strategically invest in researchour CRM platform, and development, enabling us to stay on track withwe expanded the rollout of our product release targets.global payroll platform for HRIS.
Please see "Note About Forward-Looking Statements" and "Risk Factors" in Part I, Item 1A of our 20192020 Form 10-K and Part II, Item 1A of this Quarterly Report on Form 10-Q and the first quarter 2020 Form 10-Q for discussion on additional business risks, including those associated with the COVID-19 pandemic.
Overall GAAP and Non-GAAP Results
The table below presentsThis section includes a discussion of GAAP and non-GAAP results. For reconciliations of non-GAAP results to GAAP results, see the percentage change for both oursection titled "Non-GAAP Results" herein.
Our GAAP and non-GAAP results for the three and six months ended June 30, 2020March 31, 2021 as compared to the three and six months ended June 30, 2019.March 31, 2020 reflected the following increases:
Three Months Ended June 30, 2020Six Months Ended June 30, 2020Three Months Ended March 31, 2021
GAAPNon-GAAPGAAPNon-GAAPGAAPNon-GAAP
RevenueRevenue4.6 %5.2 %0.7 %1.2 %Revenue19.1 %20.5 %
Operating incomeOperating income(12.3)%(1.1)%(34.5)%(15.9)%Operating income46.8 %37.5 %
Diluted earnings per shareDiluted earnings per share(13.3)%(3.7)%(28.4)%(18.6)%Diluted earnings per share54.7 %34.9 %

We experienced an increase in revenue during the three and six months ended June 30, 2020 fromMarch 31, 2021 due to growth in maintenancesoftware license and servicemaintenance revenue and by contributions from our recent acquisitions, partially offset by reductions in software license revenue.acquisitions. The outbreak of COVID-19 alsopandemic and trade restrictions with China adversely impacted our revenue during the three and six months ended June 30, 2020 with the most pronounced reductions occurring in perpetual licenses.March 31, 2021 and 2020. However, due to our diverse customer base, both from a vertical and geographic perspective, as well as theour close relationships with customers, we were able to conduct a large amount of business remotely, which partially mitigated the impacts of the COVID-19 outbreak.
We also experienced increased operating expenses primarily due to increased personnel costs, higher stock-based compensation and additional operating expenses related to acquisitions.acquisitions, increased costs related to foreign exchange translation due to a weaker U.S. Dollar and higher stock-based compensation. While our hiring pace was slowed and certain discretionary operational expenses, such as travel, were significantly reduced, the COVID-19 outbreakpandemic did not have a material impact on our operating expenses during the three and six months ended June 30, 2020.March 31, 2021.
The non-GAAP results exclude the income statement effects of the acquisition accounting adjustments to deferred revenue, stock-based compensation, amortization of acquired intangible assets, and transaction expenses related to business combinations, and adjustments related to the transition tax associated with the Tax Cuts and Jobs Act. For further disclosure regarding non-GAAP results, see the section titled "Non-GAAP Results."combinations.
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Impact of Foreign Currency
Our comparative financial results were impacted by fluctuations in the U.S. Dollar during the three and six months ended June 30, 2020March 31, 2021 as compared to the three and six months ended June 30, 2019.March 31, 2020. The net favorable impacts on our GAAP and non-GAAP revenue and operating income due to currency fluctuationsas a result of the weakened U.S. Dollar when measured against our primary foreign currencies are reflected in the table below. Amounts in brackets indicate an adverse impact from currency fluctuations.
Three Months Ended June 30, 2020Six Months Ended June 30, 2020Three Months Ended March 31, 2021
(in thousands)(in thousands)GAAPNon-GAAPGAAPNon-GAAP(in thousands)GAAPNon-GAAP
RevenueRevenue$(1,542) $(1,615) $(4,132) $(4,211) Revenue$9,912 $9,948 
Operating incomeOperating income$477  $320  $216  $(51) Operating income$2,046 $2,473 

In constant currency, our growth ratesincreases were as follows:
Three Months Ended June 30, 2020Six Months Ended June 30, 2020Three Months Ended March 31, 2021
GAAPNon-GAAPGAAPNon-GAAPGAAPNon-GAAP
RevenueRevenue5.0 %5.6 %1.3 %1.8 %Revenue15.8 %17.3 %
Operating incomeOperating income(12.7)%(1.3)%(34.6)%(15.8)%Operating income40.8 %34.8 %
Constant currency amounts exclude the effects of foreign currency fluctuations on the reported results. To present this information, the 20202021 results for entities whose functional currency is a currency other than the U.S. Dollar were converted to U.S. Dollars at rates that were in effect for the 20192020 comparable period, rather than the actual exchange rates in effect for 2020.2021. Constant currency growth rates are calculated by adjusting the 20202021 reported revenue and operating income amounts by the 20202021 currency fluctuation impacts and comparing to the 20192020 comparable period reported revenue and operating income amounts.
Other Key Business Metric
Annual Contract Value (ACV) is one of our key performance metrics and is useful to investors in assessing the strength and trajectory of our business. Given that revenue is more volatile due to the upfront revenue recognition of multi-year lease license sales, we provide ACV as a supplemental metric to help evaluate the annual performance of the business. Summed over the long term, ACV and revenue lead to the same outcome. However, there will be years in which ACV growth lags revenue growth and other years in which ACV growth leads revenue growth. It is used by management in financial and operational decision-making and in setting sales targets used for compensation. ACV should be viewed independently of revenue and deferred revenue as ACV is a performance metric and is not intended to be combined with any of these items. There is no GAAP measure comparable to ACV. ACV is composed of the following:
the annualized value of maintenance and lease contracts with start dates or anniversary dates during the period, plus
the value of perpetual license contracts with start dates during the period, plus
the annualized value of fixed-term services contracts with start dates or anniversary dates during the period, plus
the value of work performed during the period on fixed-deliverable services contracts.
Our ACV was as follows:
Three Months Ended June 30,Change Three Months Ended March 31,Change
(in thousands, except percentages)(in thousands, except percentages)20202019Amount%Constant Currency %(in thousands, except percentages)20212020Amount%Constant Currency %
ACVACV$344,406  $326,145  $18,261  5.6  5.9  ACV$319,382 $301,050 $18,332 6.1 3.0 
Recurring ACV as a percentage of ACVRecurring ACV as a percentage of ACV77.6 %82.2 %
 Six Months Ended June 30,Change
(in thousands, except percentages)20202019Amount%Constant Currency %
ACV$645,456  $629,635  $15,821  2.5  3.2  

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TableRecurring ACV includes both lease licenses and maintenance contracts. The reduction as a percentage of Contents
While the resilience oftotal ACV in Q1 2021 as compared to Q1 2020 was driven by an increase in perpetual licensing, primarily within our business is evident in the growth shown above, the economic conditions due to the recent COVID-19 outbreak has disrupted the business of our customers and partners, and has adversely impacted our business and consolidated results. In addition, during 2019, trade discussions between the U.S. and China led to certain entities being placed on a restricted entity list. These restrictions limited our ability to deliver products and services to these customers. While our 2019 results were adversely impacted by these restrictions for a portion of the year, the 2019 operating results include approximately $20.0 million of ACV related to transactions that occurred prior to the placement of the restrictions.Asia-Pacific markets.
Other Financial Information
Our financial position includes $745.0$987.9 million in cash and short-term investments, and working capital of $750.5$1,036.9 million as of June 30, 2020.March 31, 2021.
During the six months ended June 30, 2020, we repurchased 0.7 million shares for $161.0 million at an average price of $233.48 per share. ThoseThere were no share repurchases occurred during the first quarter of 2020; there were no repurchases during the second quarter.2021. As of March 31, 2021, we had 2.8 million shares remaining available for repurchase under our authorized share repurchase program.
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Geographic Trends:
The following table presents our geographic constant currency GAAP revenue growth during the three and six months ended June 30, 2020March 31, 2021 as compared to the three and six months ended June 30, 2019:March 31, 2020:
Three Months Ended June 30, 2020Six Months Ended June 30, 2020
Americas32.7 %11.1 %
EMEA(4.6)%(1.7)%
Asia-Pacific(18.6)%(9.6)%
Total5.0 %1.3 %
Three Months Ended March 31, 2021
Americas21.1%
EMEA7.6%
Asia-Pacific16.3%
Total15.8%
Under the current accounting for revenue,
The mix of perpetual license sales as well as the value and duration of multi-year leases entered intolease contracts executed during the period significantly impact revenue recognition. As a result, regional revenues may fluctuate significantly on a quarterly basis and are not necessarily indicative of customer usage changes or our cash flows for such regions during the periods presented.
To drive additional growth, we continue to focus on a number of sales improvement activities across the geographic regions, including sales hiring, pipeline building, productivity initiatives and customer engagement activities.
Continued trade tensions between the U.S. and China, together with the uncertainty around the COVID-19 outbreak, have had an impact on, and in the future may further restrict, our ability to sell and distribute our products to certain customers and our ability to collect against existing trade receivablesreceivables. As a result, each of these have had, and in the future could continue to have, an adverse effect on our business, results of operations or financial condition. Refer to additional details in Part I, "Item 1A of1A. Risk Factors" in our 20192020 Form 10-K as supplemented by Part II, Item 1A of this Quarterly Report on Form 10-Q.10-K.
Industry Commentary:
We experiencedThe industry trends consistent with those of 2019 and infrom 2020 carried into the first quarter of 2020. The2021 as high-tech, automotive, and aerospace and defense continue to be our leading industries. This reflects the sustained research and development investments companies in these industries are making in critical technology initiatives – such as 5G and cloud computing infrastructure, advanced defense systems, electrification and autonomy. In the high-tech and semiconductor industry, was positively impacted by companies' investments5G is still driving growth as it has significant implications in relation to the amount of data that is generated and stored and how effectively it can be processed. The transportation and mobility revolution continues to drive investment in the development of the next generation of increasingly complex chips and technology to support applications in 5G, autonomy and other high growth areas. The automotive industry maintained its momentum through continued investments to support the development of electrification and autonomous technologies, as well as in vehicle crash safety applications. Investment from the defense segment supported performance in the aerospace and defense industry.
Use of Estimates:
The preparation of these financial statements requires us to make estimates and judgments that affect the reported amounts of assets, liabilities, revenues and expenses, and related disclosure of contingent assets and liabilities. On an ongoing basis, we evaluate our estimates, including those related to fair values of stock awards, bad debts, contract revenue, acquired deferred revenue, the standalone selling prices of our products and services, the valuation of goodwill and other intangible assets, deferred compensation, income taxes, uncertain tax positions, tax valuation reserves, operating lease assets and liabilities, useful lives for depreciation and amortization, and contingencies and litigation. We base our estimates on historical experience, market experience, estimated future cash flows and various other assumptions that management believes are reasonable under the circumstances, the results of which form the basis for making judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results may differ from these estimates.
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Note About Forward-Looking Statements
This Quarterly Report on Form 10-Q contains forward-looking statements within the meaning of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934 (the Exchange Act), including, but not limited to, the following statements, as well as statements that contain such words as "anticipates," "intends," "believes,intends," "plans""believes,""plans" and other similar expressions:
Our expectations regarding the impacts of the COVID-19 pandemic.
Our expectations regarding the impacts of new accounting guidance.
Our expectations regarding the outcome of our service tax audit cases.
Our assessmentpandemic and variants of the ultimate liabilities arising from various investigations, claimsvirus as well as trade tensions between the U.S. and legal proceedings.
Our expectations regarding future claims related to indemnification obligations.China.
Our intentions regarding our hybrid sales and distribution model.
Our statement regarding the strength of the features, functionality and integrated multiphysics capabilities of our software products.
Our belief that our overall performance is best measured by fiscal-year results rather than by quarterly results.
Our expectations regarding increased lease license volatility due to an increased customer preference for time-based licenses.
Our estimates regarding the expected impact on reported revenue related to the acquisition accounting treatment of deferred revenue.
Our expectation that we will continue to make targeted investments in our global sales and marketing organizations and our global business infrastructure to enhance and support our revenue-generating activities.
Our intentions related to investments in research and development, particularly as it relates to expanding the ease of use and capabilities of our broad portfolio of simulation software products.
Our expectations regarding the accelerated development of new and innovative products to the marketplace while lowering design and engineering costs for customers as a result of our acquisitions.
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Our statements regarding the impact of global economic conditions.
Our expectations regarding the outcome of our service tax audit cases.
Our assessment of the ultimate liabilities arising from various investigations, claims and legal proceedings.
Our statements regarding the strength of the features, functionality and integrated multiphysics capabilities of our software products.
Our belief that our overall performance is best measured by fiscal year results rather than by quarterly results.
Our expectations regarding increased lease license volatility due to an increased customer preference for time-based licenses rather than perpetual licenses.
Our estimates regarding the expected impact on reported revenue related to the acquisition accounting treatment of deferred revenue.
Our expectation that we will continue to make targeted investments in our global sales and marketing organizations and our global business infrastructure to enhance and support our revenue-generating activities.
Our intention to repatriate previously taxed earnings in excess of working capital needs and to reinvest all other earnings of our non-U.S. subsidiaries.
Our plans related to future capital spending.
The sufficiency of existing cash and cash equivalent balances to meet future working capital and capital expenditure requirements.
Our belief that the best uses of our excess cash are to invest in the business, acquire or make investments in complementary companies, products, services and totechnologies, make payments on outstanding debt balances and repurchase stock in order to both offset dilution and return capital, to stockholders, in excess of our requirements, to stockholders with the goal of increasing stockholder value.
Our intentions related to investments in complementary companies, products, services and technologies.
Our expectation that changes in currency exchange rates will affect our financial position, results of operations and cash flows.
Our expectations regarding future claims related to indemnification obligations.
Our expectations regarding acquisitions, related capital expenditures and integrating such acquired companies to realize the benefits of cost reductions and other synergies relating thereto.
Forward-looking statements should not be unduly relied upon because they involve known and unknown risks, uncertainties and other factors, some of which are beyond our control. We describe such risks, uncertainties, and factors in the “Risk Factors,” “Quantitative and Qualitative Disclosures about Market Risk,” and “Management’s Discussion and Analysis of Financial Condition and Results of Operations” sections of our Forms 10-K and 10-Q. Many of these risks, uncertainties, and factors are currently amplified by, and may continue to be amplified by, the COVID-19 pandemic. Forward-looking statements speak only as of the date they are made and we undertake no obligation to update them. Our actual results could differ materially from those set forth in forward-looking statements. Certain factors, among others, that might cause such a difference include risks and uncertainties disclosed in our 2019 Form 10-K, Part I, Item 1A "Risk Factors" and our first quarter 2020 Form 10-Q, Part II, Item 1A "Risk Factors." Information regarding any new risk factors or material changes to these risk factors has been included within Part II, Item 1A of this Quarterly Report on Form 10-Q.
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Results of Operations
Three Months Ended June 30, 2020March 31, 2021 Compared to Three Months Ended June 30, 2019March 31, 2020
Revenue:
Three Months Ended June 30,Change Three Months Ended March 31,Change
(in thousands, except percentages)(in thousands, except percentages)20202019Amount%Constant Currency %(in thousands, except percentages)20212020Amount%Constant Currency %
Revenue:Revenue:Revenue:
Lease licensesLease licenses$113,209  $100,004  $13,205  13.2  13.0  Lease licenses$65,077 $44,874 $20,203 45.0 42.6 
Perpetual licensesPerpetual licenses56,132  70,495  (14,363) (20.4) (20.0) Perpetual licenses67,527 42,956 24,571 57.2 52.8 
Software licensesSoftware licenses169,341  170,499  (1,158) (0.7) (0.6) Software licenses132,604 87,830 44,774 51.0 47.6 
MaintenanceMaintenance203,179  185,118  18,061  9.8  10.5  Maintenance213,674 200,488 13,186 6.6 3.3 
ServiceService13,141  13,018  123  0.9  1.9  Service16,948 16,667 281 1.7 (1.1)
Maintenance and serviceMaintenance and service216,320  198,136  18,184  9.2  9.9  Maintenance and service230,622 217,155 13,467 6.2 3.0 
Total revenueTotal revenue$385,661  $368,635  $17,026  4.6  5.0  Total revenue$363,226 $304,985 $58,241 19.1 15.8 

Our revenue in the quarter ended June 30, 2020March 31, 2021 increased 4.6%19.1% as compared to the quarter ended June 30, 2019,March 31, 2020, while revenue grew 5.0%15.8% in constant currency. The growth rate was favorably impacted by our continued investment in our global sales, support and marketing organizations, as well as our recent acquisitions andstrong perpetual license sales, the timing and duration of our multi-year lease contracts. The growth rate was negatively impacted by the shifting preference of customers toward time-based licensing, the trade restrictions between the United Statescontracts, momentum sales to our small- and Chinamedium-sized businesses, and the impact of COVID-19.our recent acquisitions. Lease license revenue increased 13.2%45.0%, or 13.0%42.6% in constant currency, as compared to the prior-year quarter. Perpetual license revenue, which is derived primarily from new sales during the quarter, decreased 20.4%increased 57.2%, or 20.0%52.8% in constant currency, as compared to the prior-year quarter. Annual maintenance contracts that were sold with new perpetual licenses, maintenance contracts for new perpetual licenses sold in previous quartersrenewals and the maintenance portion of lease license contracts collectively contributed to maintenance revenue growth of 9.8%6.6%, or 10.5%3.3% in constant currency. Service revenue driven primarily by a focus on service offerings that provide mentorship on simulation best practices, training and expanding simulation adoption, increased 0.9%1.7%, or 1.9%decreased 1.1% in constant currency, as compared to the prior-year quarter.
We continue to experience increased interest by some of our larger customers in enterprise agreements that often include longer-term, time-based licenses involving a larger number of our software products. While these arrangements typically involve a higher overall transaction price, the upfront recognition of license revenue related to these larger, multi-year transactions can result in significantly higher lease license revenue volatility. As softwareSoftware products, across a large variety of applications and industries, becomeare increasingly distributed in software-as-a-service, cloud and other subscription environments in which the licensing approach is time-based rather than perpetual, we are also experiencingperpetual. This preference resulted in a shifting preferenceshift from perpetual licenses to time-based licenses across a broader spectrum of our customers. This shifting preference was elevatedcustomers, with the exception of our Asia-Pacific region which experienced a disproportionate increase in perpetual licensing for the first halfquarter of 2020 as a result of the economic impacts of COVID-19, and we expect it to continue into the foreseeable future.2021.
In relation to COVID-19 and our revenue, we currently expect a modest recovery in the business environment duringas vaccine distribution becomes more widespread and a larger percentage of the third quarter with the hope of an even stronger recovery in the fourth quarter. However,population is inoculated. Globally, businesses have not resumed full operations and our teams and those of our customers will likely continue working remotely. In addition,remotely into the EMEA region's traditional extended summer holiday season could further impact the speedsecond half of the recovery in the third quarter.2021. As a result of social distancing, our in-person demand generation events and those of our channel partners have been canceled. While we have adjusted to have a stronger digital focus, for demand generation, as evidenced by our hosting of our inauguralannual Simulation World digital event in June, we expectApril 2021, the absence of certain events has had and is expected to continue to have an adverse impact on our results, especially for certain channel partners. In addition, we expect there to be a significant delay in the timing of closing certain transactions, and closing the larger enterprise-type deals may be especially difficult. These deals are often multi-year leases which have a significant impact on our operating results due to up-front revenue recognition of the license. We anticipate that customers will delay certain purchases to later in the yearAdditional waves or into 2021. We also anticipate some deterioration in renewal rates among our smaller customers, particularly small- and medium-sized businesses. The third quarter business environment is expected to be modestly stronger than that of the second quarter, but will remain adversely impacted by the continuing effects of COVID-19, with a disproportionate impact on certain customers and industries. We expect a stronger recovery in the fourth quarter, perhaps buoyed by sales transactions that may have been deferred from earlier quarters. However, additional wavesmutated variants of COVID-19 could result in renewed shutdowns that stop or regress economic recovery.


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With respect to revenue, on average for the quarter ended June 30, 2020,March 31, 2021, the U.S. Dollar was approximately 0.9% stronger,6.5% weaker, when measured against our primary foreign currencies, than for the quarter ended June 30, 2019.March 31, 2020. The table below presents the net favorable impacts of currency fluctuations on revenue for the quarter ended June 30, 2020. Amounts in brackets indicate an adverse impact from currency fluctuations.March 31, 2021.
(in thousands)Three Months Ended June 30, 2020March 31, 2021
Euro$(1,247)6,120
South Korean Won(705)1,369 
Indian Rupee(489)
British Pound(322)820 
Canadian Dollar(192)
Japanese Yen1,120782 
Taiwan Dollar253 
Other40821 
Total$(1,542)9,912 
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The impacts from currency fluctuations resulted in increased operating income of $0.5$2.0 million for the quarter ended June 30, 2020March 31, 2021 as compared to the quarter ended June 30, 2019.March 31, 2020.
As a percentage of revenue, our international and domestic revenues, and our direct and indirect revenues, were as follows:
Three Months Ended June 30,Three Months Ended March 31,
2020201920212020
InternationalInternational52.3 %62.6 %International58.0 %59.0 %
DomesticDomestic47.7 %37.4 %Domestic42.0 %41.0 %
DirectDirect78.1 %79.7 %Direct71.8 %73.6 %
IndirectIndirect21.9 %20.3 %Indirect28.2 %26.4 %

In valuing deferred revenue on the balance sheets of our recent acquisitions as of their respective acquisition dates, we applied the fair value provisions applicable to the accounting for business combinations, resulting in a reduction of deferred revenue as compared to the historical carrying amount. As a result, our post-acquisition revenue will be less than the sum of what would have otherwise been reported by us and each acquiree absent the acquisitions. The impacts on reported revenue were $4.0$8.9 million and $1.9$3.9 million for the quarters ended June 30,March 31, 2021 and 2020, and 2019, respectively. The expected impacts on reported revenue are $2.1$5.3 million and $11.3$19.3 million for the quarter ending SeptemberJune 30, 20202021 and the year ending December 31, 2020,2021, respectively.
Deferred Revenue and Backlog:
Deferred revenue consists of billings made or payments received in advance of revenue recognition from customer agreements. The deferred revenue on our condensed consolidated balance sheets does not represent the total value of annual or multi-year, noncancellable agreements. Our backlog represents installment billings for periods beyond the current quarterly billing cycle. Our deferred revenue and backlog as of June 30, 2020March 31, 2021 and December 31, 20192020 consisted of the following:
Balance at June 30, 2020Balance at March 31, 2021
(in thousands)(in thousands)TotalCurrentLong-Term(in thousands)TotalCurrentLong-Term
Deferred revenueDeferred revenue$336,188  $325,098  $11,090  Deferred revenue$380,729 $366,596 $14,133 
BacklogBacklog510,282  226,995  283,287  Backlog555,772 240,904 314,868 
TotalTotal$846,470  $552,093  $294,377  Total$936,501 $607,500 $329,001 
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Balance at December 31, 2020
(in thousands)TotalCurrentLong-Term
Deferred revenue$388,810 $372,061 $16,749 
Backlog578,317 234,719 343,598 
Total$967,127 $606,780 $360,347 

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Balance at December 31, 2019
(in thousands)TotalCurrentLong-Term
Deferred revenue$365,274  $351,353  $13,921  
Backlog505,469  218,398  287,071  
Total$870,743  $569,751  $300,992  
Revenue associated with deferred revenue and backlog that will be recognized in the subsequent twelve months is classified as current in the tables above.
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Cost of Sales and Operating Expenses:
The tables below reflect our operating results as presented on the condensed consolidated statements of income, which are inclusive of foreign currency translation impacts. Amounts included in the discussions that follow each table are provided in constant currency and are inclusive of costs related to our acquisitions. The impact of foreign exchange translation is discussed separately, where material. The fourth quarter 2019 acquisition of LST contributed $11.3 million to the overall increase in cost of sales and operating expenses, inclusive of intangible asset amortization.
 Three Months Ended June 30,
20202019Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Cost of sales:
Software licenses$8,511  2.2  $6,204  1.7  $2,307  37.2  
Amortization9,764  2.5  4,755  1.3  5,009  105.3  
Maintenance and service35,585  9.2  29,538  8.0  6,047  20.5  
Total cost of sales53,860  14.0  40,497  11.0  13,363  33.0  
Gross profit$331,801  86.0  $328,138  89.0  $3,663  1.1  
Software Licenses: The increase in the cost of software licenses was primarily due to increased third-party royalties of $2.2 million.
Amortization: The increase in amortization expense was due to the amortization of newly acquired intangible assets.
Maintenance and Service: The increase in maintenance and service costs was primarily due to the following:
Increased salaries and other headcount-related costs of $3.5 million.
Increased third-party technical support of $1.3 million.
Increased stock-based compensation of $1.1 million.
The improvement in gross profit was a result of the increase in revenue, partially offset by the increase in the cost of sales.
 Three Months Ended June 30,
20202019Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Operating expenses:
Selling, general and administrative$128,698  33.4  $120,412  32.7  $8,286  6.9  
Research and development86,133  22.3  75,302  20.4  10,831  14.4  
Amortization4,163  1.1  3,796  1.0  367  9.7  
Total operating expenses$218,994  56.8  $199,510  54.1  $19,484  9.8  
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Selling, General and Administrative: The net increase in selling, general and administrative costs was primarily due to the following:
Increased salaries and other headcount-related costs of $10.1 million.
Increased third-party commissions of $1.9 million.
Increased stock-based compensation of $1.8 million.
Decreased business travel of $5.7 million due to COVID-19.
We anticipate that we will continue to make targeted investments in our global sales and marketing organizations and our global business infrastructure to enhance and support our revenue-generating activities.
Research and Development: The net increase in research and development costs was primarily due to the following:
Increased salaries, incentive compensation and other headcount-related costs of $9.0 million.
Increased stock-based compensation of $2.1 million.
Increased IT maintenance and software hosting costs of $1.1 million.
Decreased business travel of $1.2 million due to COVID-19.
We have traditionally invested significant resources in research and development activities and intend to continue to make investments in expanding the ease of use and capabilities of our broad portfolio of simulation software products, even through the COVID-19 pandemic. We do not anticipate the impact of COVID-19 to significantly delay our 2020 product releases, as evidenced by our recent release of Ansys® 2020 R2 in July.
Interest Income: Interest income for the quarter ended June 30, 2020 was $0.9 million as compared to $3.0 million for the quarter ended June 30, 2019. Interest income decreased as a result of a decrease in the average rate of return on invested cash balances.
Interest Expense: Interest expense for the quarter ended June 30, 2020 was $3.0 million as compared to $0.2 million for the quarter ended June 30, 2019. Interest expense increased as a result of the interest incurred on debt financing obtained in connection with the acquisition of LST in the fourth quarter of 2019.
Other Income (Expense), net: Our other income (expense) consisted of the following:
 Three Months Ended June 30,
(in thousands)20202019
Investment gains, net$3,689  $48  
Foreign currency losses, net(1,804) (1,869) 
Other(1) 385  
Total other income (expense), net$1,884  $(1,436) 
 Three Months Ended March 31,
20212020Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Cost of sales:
Software licenses$7,606 2.1 $4,926 1.6 $2,680 54.4 
Amortization14,949 4.1 9,552 3.1 5,397 56.5 
Maintenance and service39,548 10.9 35,638 11.7 3,910 11.0 
Total cost of sales62,103 17.1 50,116 16.4 11,987 23.9 
Gross profit$301,123 82.9 $254,869 83.6 $46,254 18.1 

Income Tax Provision: Our income before income tax provision, income tax provision and effective tax rates were as follows:
Three Months Ended June 30,
(in thousands, except percentages)20202019
Income before income tax provision$112,585  $129,941  
Income tax provision$16,021  $20,191  
Effective tax rate14.2 %15.5 %
The decrease in the effective tax rate from the prior year was primarily due to benefits from entity structuring activities.
When compared to the federal and state combined statutory rate for each respective period, the effective tax rates for the quarters ended June 30, 2020 and 2019 were favorably impacted by tax benefits from stock-based compensation, the foreign-derived intangible income (FDII) deduction, and research and development credits.
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Net Income: Our net income, diluted earnings per share and weighted average shares used in computing diluted earnings per share were as follows:
Three Months Ended June 30,
(in thousands, except per share data)20202019
Net income$96,564  $109,750  
Diluted earnings per share$1.11  $1.28  
Weighted average shares outstanding - diluted86,934  85,483  
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Six Months Ended June 30, 2020 Compared to Six Months Ended June 30, 2019
Revenue:
 Six Months Ended June 30,Change
(in thousands, except percentages)20202019Amount%Constant Currency %
Revenue:
Lease licenses$158,083  $169,260  $(11,177) (6.6) (6.6) 
Perpetual licenses99,088  124,283  (25,195) (20.3) (19.8) 
Software licenses257,171  293,543  (36,372) (12.4) (12.2) 
Maintenance403,667  366,579  37,088  10.1  11.0  
Service29,808  25,643  4,165  16.2  17.2  
Maintenance and service433,475  392,222  41,253  10.5  11.4  
Total revenue$690,646  $685,765  $4,881  0.7  1.3  
Our revenue in the six months ended June 30, 2020 increased 0.7% as compared to the six months ended June 30, 2019, while revenue grew 1.3% in constant currency. The growth rate was favorably impacted by our recent acquisitions. The growth rate was negatively impacted by the shifting preference of customers toward time-based licensing, the timing and duration of multi-year lease contracts, the trade restrictions between the United States and China and the impact of COVID-19. Lease license revenue decreased 6.6% in both reported and constant currency, as compared to the six months ended June 30, 2019, driven primarily by a decrease in multi-year lease contracts. Perpetual license revenue, which is derived primarily from new sales during the six months ended June 30, 2020, decreased 20.3%, or 19.8% in constant currency, as compared to the six months ended June 30, 2019. Annual maintenance contracts that were sold with new perpetual licenses, maintenance contracts for new perpetual licenses sold in previous quarters and the maintenance portion of lease license contracts collectively contributed to maintenance revenue growth of 10.1%, or 11.0% in constant currency. Service revenue, driven primarily by a focus on service offerings that provide mentorship on simulation best practices, training and expanding simulation adoption, increased 16.2%, or 17.2% in constant currency, as compared to the six months ended June 30, 2019.
With respect to revenue, on average for the six months ended June 30, 2020, the U.S. Dollar was approximately 1.3% stronger, when measured against our primary foreign currencies, than for the six months ended June 30, 2019. The table below presents the impacts of currency fluctuations on revenue for the six months ended June 30, 2020. Amounts in brackets indicate an adverse impact from currency fluctuations.
(in thousands)Six Months Ended June 30, 2020
Euro$(3,250)
South Korean Won(1,615)
Indian Rupee(717)
British Pound(504)
Canadian Dollar(213)
Japanese Yen1,652 
Taiwan Dollar421 
Other94 
Total$(4,132)
The impacts from currency fluctuations resulted in increased operating income of $0.2 million for the six months ended June 30, 2020 as compared to the six months ended June 30, 2019.
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As a percentage of revenue, our international and domestic revenues, and our direct and indirect revenues, were as follows:
Six Months Ended June 30,
20202019
International55.2 %59.4 %
Domestic44.8 %40.6 %
Direct76.2 %75.4 %
Indirect23.8 %24.6 %
In valuing deferred revenue on the balance sheets of our recent acquisitions as of their respective acquisition dates, we applied the fair value provisions applicable to the accounting for business combinations, resulting in a reduction of deferred revenue as compared to the historical carrying amount. As a result, our post-acquisition revenue will be less than the sum of what would have otherwise been reported by us and each acquiree absent the acquisitions. The impacts on reported revenue were $8.0 million and $4.7 million for the six months ended June 30, 2020 and 2019, respectively.
Cost of Sales and Operating Expenses:
The tables below reflect our operating results as presented on the condensed consolidated statements of income, which are inclusive of foreign currency translation impacts. Amounts included in the discussions that follow each table are provided in constant currency and are inclusive of costs related to our acquisitions. The impact of foreign exchange translation is discussed separately, where material. The fourth quarter 2019 acquisition of LST contributed $22.5 million to the overall increase in cost of sales and operating expenses, inclusive of intangible asset amortization.
 Six Months Ended June 30,
20202019Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Cost of sales:
Software licenses$13,437  1.9  $10,912  1.6  $2,525  23.1  
Amortization19,316  2.8  9,302  1.4  10,014  107.7  
Maintenance and service71,223  10.3  55,098  8.0  16,125  29.3  
Total cost of sales103,976  15.1  75,312  11.0  28,664  38.1  
Gross profit$586,670  84.9  $610,453  89.0  $(23,783) (3.9) 
Software Licenses: The increase in the cost of software licenses was primarily due to increased third-party royalties of $2.5 million.
Amortization: The increase in amortization expense was due to the amortization of newlyintangible assets acquired intangible assets.within the last year.
Maintenance and Service: The increase in maintenance and service costs was primarily due to the following:
Increased salaries and other headcount-related costsincentive compensation of $8.4$2.2 million.
Increased third-party technical support of $3.4 million.
Increased stock-based compensation of $2.7 million.
Increased IT maintenance and software hosting costs related to foreign exchange translation of $1.3 million.million due to a weaker U.S. Dollar.
The reductionimprovement in gross profit was a result of anthe increase in revenue, partially offset by the increase in the cost of sales, partially offset by an increase in revenue.sales.
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 Three Months Ended March 31,
20212020Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Operating expenses:
Selling, general and administrative$146,215 40.3 $130,522 42.8 $15,693 12.0 
Research and development100,479 27.7 86,112 28.2 14,367 16.7 
Amortization4,407 1.2 4,162 1.4 245 5.9 
Total operating expenses$251,101 69.1 $220,796 72.4 $30,305 13.7 

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 Six Months Ended June 30,
20202019Change
(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount%
Operating expenses:
Selling, general and administrative$259,220  37.5  $232,581  33.9  $26,639  11.5  
Research and development172,245  24.9  146,040  21.3  26,205  17.9  
Amortization8,325  1.2  7,555  1.1  770  10.2  
Total operating expenses$439,790  63.7  $386,176  56.3  $53,614  13.9  
Selling, General and Administrative: The net increase in selling, general and administrative costs was primarily due to the following:
Increased salaries, incentive compensation and other headcount-related costs of $20.1$15.3 million.
Increased costs related to foreign exchange translation of $3.8 million due to a weaker U.S. Dollar.
Increased stock-based compensation of $3.8 million.
Increased bad debt expense of $3.7 million due to expected losses related to COVID-19.
Increased IT maintenance and software hosting costs of $3.0 million.
Increased third-party commissions of $2.4$2.1 million.
Decreased business travel of $5.8$4.9 million due to COVID-19.the COVID-19 pandemic.
Decreased bad debt expense of $3.1 million.
We anticipate that we will continue to make targeted investments in our global sales and marketing organizations and our global business infrastructure to enhance and support our revenue-generating activities.
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Research and Development: The increase in research and development costs was primarily due to the following:
Increased salaries, incentive compensation and other headcount-related costs of $21.8$9.7 million.
Increased costs related to foreign exchange translation of $2.4 million due to a weaker U.S. Dollar.
Increased stock-based compensation of $5.6$1.4 million.
We have traditionally invested significant resources in research and development activities and intend to continue to make investments in expanding the ease of use and capabilities of our broad portfolio of simulation software products.
Interest Income: Interest income for the six monthsquarter ended June 30, 2020March 31, 2021 was $3.7$0.5 million as compared to $6.4$2.8 million for the six monthsquarter ended June 30, 2019.March 31, 2020. Interest income decreased as a result of a lower interest rate environment and the related decrease in the average rate of return on invested cash balances.
Interest Expense: Interest expense for the six monthsquarter ended June 30, 2020March 31, 2021 was $6.7$3.3 million as compared to $0.3$3.7 million for the six monthsquarter ended June 30, 2019.March 31, 2020. Interest expense increaseddecreased as a result of thea lower interest rate environment, partially offset by interest incurred on debt financing obtained in connection with the acquisition of LSTAGI in the fourth quarter of 2019.2020.
Other Income, (Expense), net: Our otherOther income (expense)for the quarter ended March 31, 2021 was $0.4 million as compared to $0.1 million for the quarter ended March 31, 2020. Other income consisted primarily of the following:net foreign currency gains.
 Six Months Ended June 30,
(in thousands)20202019
Investment gains, net$3,682  $230  
Foreign currency losses, net(1,658) (2,382) 
Other(13) 382  
Total other income (expense), net$2,011  $(1,770) 

Income Tax Provision:Benefit: Our income before income tax provision,benefit, income tax provisionbenefit and effective tax rates were as follows:
Six Months Ended June 30,Three Months Ended March 31,
(in thousands, except percentages)(in thousands, except percentages)20202019(in thousands, except percentages)20212020
Income before income tax provision$145,909  $228,607  
Income tax provision$3,281  $32,627  
Income before income tax benefitIncome before income tax benefit$47,623 $33,324 
Income tax benefitIncome tax benefit$(24,775)$(12,740)
Effective tax rateEffective tax rate2.2 %14.3 %Effective tax rate(52.0)%(38.2)%

The decrease in the effective tax rate from the prior yearfirst quarter of 2020 was primarily due to increased benefits related to stock-based compensation. The effective tax rate also benefited from entity structuring activities and the release of a valuation allowance in a foreign jurisdiction.
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When compared to the federal and state combined statutory rate for each respective period, the effective tax rates for the six monthsquarters ended June 30,March 31, 2021 and 2020 and 2019 were favorably impacted by tax benefits from stock-based compensation, the foreign-derived intangible income (FDII) deduction, and research and development credits.
Net Income: Our net income, diluted earnings per share and weighted average shares used in computing diluted earnings per share were as follows:
Six Months Ended June 30,Three Months Ended March 31,
(in thousands, except per share data)(in thousands, except per share data)20202019(in thousands, except per share data)20212020
Net incomeNet income$142,628  $195,980  Net income$72,398 $46,064 
Diluted earnings per shareDiluted earnings per share$1.64  $2.29  Diluted earnings per share$0.82 $0.53 
Weighted average shares outstanding - dilutedWeighted average shares outstanding - diluted87,152  85,488  Weighted average shares outstanding - diluted87,986 87,369 


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Non-GAAP Results
We provide non-GAAP revenue, non-GAAP gross profit, non-GAAP gross profit margin, non-GAAP operating income, non-GAAP operating profit margin, non-GAAP net income and non-GAAP diluted earnings per share as supplemental measures to GAAP regarding our operational performance. These financial measures exclude the impact of certain items and, therefore, have not been calculated in accordance with GAAP. A detailed explanation and a reconciliation of each non-GAAP financial measure to its most comparable GAAP financial measure are describedincluded below.
ANSYS, INC. AND SUBSIDIARIESANSYS, INC. AND SUBSIDIARIESANSYS, INC. AND SUBSIDIARIES
Reconciliation of Non-GAAP Measures
Reconciliations of GAAP to Non-GAAP MeasuresReconciliations of GAAP to Non-GAAP Measures
(Unaudited)(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
June 30, 2020March 31, 2021
(in thousands, except percentages and per share data)(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAPTotal GAAP$385,661  $331,801  86.0 %$112,807  29.3 %$96,564  $1.11  Total GAAP$363,226 $301,123 82.9 %$50,022 13.8 %$72,398 $0.82 
Acquisition accounting for deferred revenueAcquisition accounting for deferred revenue4,040  4,040  0.2 %4,040  0.7 %4,040  0.05  Acquisition accounting for deferred revenue8,923 8,923 0.4 %8,923 2.0 %8,923 0.10 
Stock-based compensation expenseStock-based compensation expense—  3,464  0.8 %34,130  8.9 %34,130  0.40  Stock-based compensation expense 3,562 1.0 %35,119 9.5 %35,119 0.41 
Excess payroll taxes related to stock-based awardsExcess payroll taxes related to stock-based awards—  166  0.1 %1,876  0.4 %1,876  0.02  Excess payroll taxes related to stock-based awards 865 0.2 %9,135 2.5 %9,135 0.10 
Amortization of intangible assets from acquisitionsAmortization of intangible assets from acquisitions—  9,764  2.5 %13,927  3.6 %13,927  0.16  Amortization of intangible assets from acquisitions 14,949 4.0 %19,356 5.2 %19,356 0.22 
Transaction expenses related to business combinationsTransaction expenses related to business combinations—  —  — %309  — %309  —  Transaction expenses related to business combinations   %1,970 0.5 %1,970 0.02 
Rabbi trust (income) / expense—  —  — %—  — %(1) —  
Adjustment for income tax effectAdjustment for income tax effect—  —  — %—  — %(16,518) (0.19) Adjustment for income tax effect   %  %(47,979)(0.55)
Total non-GAAPTotal non-GAAP$389,701  $349,235  89.6 %$167,089  42.9 %$134,327  $1.55  Total non-GAAP$372,149 $329,422 88.5 %$124,525 33.5 %$98,922 $1.12 
1 Diluted weighted average shares were 86,934.87,986.
Three Months Ended
June 30, 2019
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$368,635  $328,138  89.0 %$128,628  34.9 %$109,750  $1.28  
Acquisition accounting for deferred revenue1,873  1,873  0.1 %1,873  0.3 %1,873  0.02  
Stock-based compensation expense—  2,374  0.7 %29,122  7.9 %29,122  0.35  
Excess payroll taxes related to stock-based awards—  11  — %389  0.1 %389  —  
Amortization of intangible assets from acquisitions—  4,755  1.2 %8,551  2.3 %8,551  0.10  
Transaction expenses related to business combinations—  —  — %450  0.1 %450  0.01  
Rabbi trust (income) / expense—  —  — %—  — %(58) —  
Adjustment related to the Tax Cuts and Jobs Act—  —  — %—  — %(498) (0.01) 
Adjustment for income tax effect—  —  — %—  — %(11,673) (0.14) 
Total non-GAAP$370,508  $337,151  91.0 %$169,013  45.6 %$137,906  $1.61  

Three Months Ended
March 31, 2020
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$304,985 $254,869 83.6 %$34,073 11.2 %$46,064 $0.53 
Acquisition accounting for deferred revenue3,912 3,912 0.2 %3,912 1.1 %3,912 0.04 
Stock-based compensation expense— 2,866 0.9 %30,941 10.0 %30,941 0.36 
Excess payroll taxes related to stock-based awards— 523 0.1 %6,983 2.3 %6,983 0.08 
Amortization of intangible assets from acquisitions— 9,552 3.2 %13,714 4.4 %13,714 0.16 
Transaction expenses related to business combinations— — — %950 0.3 %950 0.01 
Rabbi trust (income) / expense— — — %— — %(4)— 
Adjustment for income tax effect— — — %— — %(30,255)(0.35)
Total non-GAAP$308,897 $271,722 88.0 %$90,573 29.3 %$72,305 $0.83 
1 Diluted weighted average shares were 85,483.

87,369.
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ANSYS, INC. AND SUBSIDIARIES
Reconciliation of Non-GAAP Measures
(Unaudited)
Six Months Ended
June 30, 2020
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$690,646  $586,670  84.9 %$146,880  21.3 %$142,628  $1.64  
Acquisition accounting for deferred revenue7,952  7,952  0.2 %7,952  0.9 %7,952  0.09  
Stock-based compensation expense—  6,330  1.0 %65,071  9.4 %65,071  0.75  
Excess payroll taxes related to stock-based awards—  689  0.1 %8,859  1.2 %8,859  0.10  
Amortization of intangible assets from acquisitions—  19,316  2.7 %27,641  4.0 %27,641  0.32  
Transaction expenses related to business combinations—  —  — %1,259  0.1 %1,259  0.01  
Rabbi trust (income) / expense—  —  — %—  — %(5) —  
Adjustment for income tax effect—  —  — %—  — %(46,773) (0.54) 
Total non-GAAP$698,598  $620,957  88.9 %$257,662  36.9 %$206,632  $2.37  
1 Diluted weighted average shares were 87,152.

Six Months Ended
June 30, 2019
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$685,765  $610,453  89.0 %$224,277  32.7 %$195,980  $2.29  
Acquisition accounting for deferred revenue4,653  4,653  0.1 %4,653  0.5 %4,653  0.05  
Stock-based compensation expense—  3,602  0.5 %52,922  7.5 %52,922  0.62  
Excess payroll taxes related to stock-based awards—  476  0.1 %4,379  0.6 %4,379  0.05  
Amortization of intangible assets from acquisitions—  9,302  1.3 %16,857  2.5 %16,857  0.20  
Transaction expenses related to business combinations—  —  — %3,111  0.5 %3,111  0.04  
Rabbi trust (income) / expense—  —  — %—  — %(223) —  
Adjustment related to the Tax Cuts and Jobs Act—  —  — %—  — %(1,834) (0.02) 
Adjustment for income tax effect—  —  — %—  — %(27,269) (0.32) 
Total non-GAAP$690,418  $628,486  91.0 %$306,199  44.3 %$248,576  $2.91  
1 Diluted weighted average shares were 85,488.




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We use non-GAAP financial measures (a) to evaluate our historical and prospective financial performance as well as our performance relative to our competitors, (b) to set internal sales targets and spending budgets, (c) to allocate resources, (d) to measure operational profitability and the accuracy of forecasting, (e) to assess financial discipline over operational expenditures and (f) as an important factor in determining variable compensation for management and employees. In addition, many financial analysts that follow us focus on and publish both historical results and future projections based on non-GAAP financial measures. We believe that it is in the best interest of our investors to provide this information to analysts so that they accurately report the non-GAAP financial information. Moreover, investors have historically requested, and we have historically reported, these non-GAAP financial measures as a means of providing consistent and comparable information with past reports of financial results.
While we believe that these non-GAAP financial measures provide useful supplemental information to investors, there are limitations associated with the use of these non-GAAP financial measures. These non-GAAP financial measures are not prepared in accordance with GAAP, are not reported by all our competitors and may not be directly comparable to similarly titled measures of our competitors due to potential differences in the exact method of calculation. We compensate for these limitations by using these non-GAAP financial measures as supplements to GAAP financial measures and by reviewing the reconciliations of the non-GAAP financial measures to their most comparable GAAP financial measures.
The adjustments to these non-GAAP financial measures, and the basis for such adjustments, are outlined below:
Acquisition accounting for deferred revenue. Historically, we have consummated acquisitions in order to support our strategic and other business objectives. In accordance with the fair value provisions applicable to the accounting for business combinations, acquired deferred revenue is often recorded on the opening balance sheet at an amount that is lower than the historical carrying value. Although this acquisition accounting requirement has no impact on our business or cash flow, it adversely impacts our reported GAAP revenue in the reporting periods following an acquisition. In order to provide investors with financial information that facilitates comparison of both historical and future results, we provide non-GAAP financial measures which exclude the impact of the acquisition accounting adjustment. We believe that this non-GAAP financial adjustment is useful to investors because it allows investors to (a) evaluate the effectiveness of the methodology and information used by us in our financial and operational decision-making, and (b) compare our past and future reports of financial results as the revenue reduction related to acquired deferred revenue will not recur when related annual lease licenses and software maintenance contracts are renewed in future periods.
Amortization of intangible assets from acquisitions. We incur amortization of intangible assets, included in our GAAP presentation of amortization expense, related to various acquisitions we have made. We exclude these expenses for the purpose of calculating non-GAAP gross profit, non-GAAP gross profit margin, non-GAAP operating income, non-GAAP operating profit margin, non-GAAP net income and non-GAAP diluted earnings per share when we evaluate our continuing operational performance because these costs are fixed at the time of an acquisition, are then amortized over a period of several years after the acquisition and generally cannot be changed or influenced by us after the acquisition. Accordingly, we do not consider these expenses for purposes of evaluating our performance during the applicable time period after the acquisition, and we exclude such expenses when making decisions to allocate resources. We believe that these non-GAAP financial measures are useful to investors because they allow investors to (a) evaluate the effectiveness of the methodology and information used by us in our financial and operational decision-making, and (b) compare our past reports of financial results as we have historically reported these non-GAAP financial measures.
Stock-based compensation expense. We incur expense related to stock-based compensation included in our GAAP presentation of cost of maintenance and service; research and development expense; and selling, general and administrative expense. This non-GAAP adjustment also includes excess payroll tax expense related to stock-based compensation. Stock-based compensation expense (benefit) incurred in connection with our deferred compensation plan held in a rabbi trust includes an offsetting benefit (charge) recorded in other income (expense). Although stock-based compensation is an expense and viewed as a form of compensation, we exclude these expenses for the purpose of calculating non-GAAP gross profit, non-GAAP gross profit margin, non-GAAP operating income, non-GAAP operating profit margin, non-GAAP net income and non-GAAP diluted earnings per share when we evaluate our continuing operational performance. We similarly exclude income (expense) related to assets held in a rabbi trust in connection with our deferred compensation plan. Specifically, we exclude stock-based compensation and income (expense) related to assets held in the deferred compensation plan rabbi trust during our annual budgeting process and our quarterly and annual assessments of our performance. The annual budgeting process is the primary mechanism whereby we allocate resources to various initiatives and operational requirements. Additionally, the annual review by our board of directors during which it compares our historical business model and profitability to the planned business model and profitability for the forthcoming year excludes the impact of stock-based compensation. In evaluating the performance of our senior management and department managers, charges related to stock-based compensation are excluded from expenditure and profitability results. In fact, we record stock-based compensation expense into a stand-alone cost center for which no single operational manager is responsible or accountable. In this way, we can review, on a period-to-period basis,
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each manager's performance and assess financial discipline over operational expenditures without the effect of stock-based compensation. We believe that these non-
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GAAPnon-GAAP financial measures are useful to investors because they allow investors to (a) evaluate our operating results and the effectiveness of the methodology used by us to review our operating results, and (b) review historical comparability in our financial reporting as well as comparability with competitors' operating results.
Transaction expenses related to business combinations. We incur expenses for professional services rendered in connection with business combinations, which are included in our GAAP presentation of selling, general and administrative expense. These expenses are generally not tax-deductible. We exclude these acquisition-related transaction expenses, derived from announced acquisitions, for the purpose of calculating non-GAAP operating income, non-GAAP operating profit margin, non-GAAP net income and non-GAAP diluted earnings per share when we evaluate our continuing operational performance, as we generally would not have otherwise incurred these expenses in the periods presented as a part of our operations. We believe that these non-GAAP financial measures are useful to investors because they allow investors to (a) evaluate our operating results and the effectiveness of the methodology used by us to review our operating results, and (b) review historical comparability in our financial reporting as well as comparability with competitors' operating results.
Tax Cuts and Jobs Act. We recorded impacts to our income tax provision related to the enactment of the Tax Cuts and Jobs Act of 2017, specifically for the transition tax related to unrepatriated cash and the impacts of the tax rate change on net deferred tax assets. We exclude these impacts for the purpose of calculating non-GAAP net income and non-GAAP diluted earnings per share when we evaluate our continuing operational performance, as (i) the charges are not expected to recur as part of our normal operations and (ii) the charges resulted from the extremely infrequent event of major U.S. tax reform, the last such reform having occurred in 1986. We believe that these non-GAAP financial measures are useful to investors because they allow investors to (a) evaluate our operating results and the effectiveness of the methodology used by us to review our operating results, and (b) review historical comparability in our financial reporting.
Non-GAAP tax provision. We utilize a normalized non-GAAP annual effective tax rate (AETR) to calculate non-GAAP measures. This methodology provides better consistency across interim reporting periods by eliminating the effects of non-recurring items and aligning the non-GAAP tax rate with our expected geographic earnings mix. To project this rate, we analyzed our historic and projected non-GAAP earnings mix by geography along with other factors such as our current tax structure, recurring tax credits and incentives, and expected tax positions. On an annual basis we will re-evaluate this rate for significant items that may materially affect our projections.
Non-GAAP financial measures are not in accordance with, or an alternative for, GAAP. Our non-GAAP financial measures are not meant to be considered in isolation or as a substitute for comparable GAAP financial measures and should be read only in conjunction with our consolidated financial statements prepared in accordance with GAAP.
We have provided a reconciliation of the non-GAAP financial measures to the most directly comparable GAAP financial measures as listed below:
GAAP Reporting MeasureNon-GAAP Reporting Measure
RevenueNon-GAAP Revenue
Gross ProfitNon-GAAP Gross Profit
Gross Profit MarginNon-GAAP Gross Profit Margin
Operating IncomeNon-GAAP Operating Income
Operating Profit MarginNon-GAAP Operating Profit Margin
Net IncomeNon-GAAP Net Income
Diluted Earnings Per ShareNon-GAAP Diluted Earnings Per Share

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Liquidity and Capital Resources
(in thousands)(in thousands)June 30,
2020
December 31,
2019
Change(in thousands)March 31,
2021
December 31,
2020
Change
Cash, cash equivalents and short-term investmentsCash, cash equivalents and short-term investments$744,979  $872,382  $(127,403) Cash, cash equivalents and short-term investments$987,943 $913,151 $74,792 
Working capitalWorking capital$750,458  $860,340  $(109,882) Working capital$1,036,905 $990,412 $46,493 

Cash, Cash Equivalents and Short-Term Investments
Cash and cash equivalents consist primarily of highly liquid investments such as money market funds and deposits held at major banks. Short-term investments consist primarily of deposits held by certain of our foreign subsidiaries with original maturities of three months to one year. The following table presents our foreign and domestic holdings of cash, cash equivalents and short-term investments as of June 30, 2020March 31, 2021 and December 31, 2019:2020:
(in thousands, except percentages)(in thousands, except percentages)June 30,
2020
% of TotalDecember 31,
2019
% of Total(in thousands, except percentages)March 31,
2021
% of TotalDecember 31,
2020
% of Total
DomesticDomestic$405,278  54.4  $626,433  71.8  Domestic$662,071 67.0 $582,882 63.8 
ForeignForeign339,701  45.6  245,949  28.2  Foreign325,872 33.0 330,269 36.2 
TotalTotal$744,979  $872,382  Total$987,943 $913,151 

In general, it is our intention to permanently reinvest all earnings in excess of previously taxed amounts. As part of U.S. tax reform, substantiallySubstantially all of the previouspre-2018 earnings of our non-U.S. subsidiaries were taxed through the transition tax and post-2018 current earnings are taxed as part of global intangible low-taxed income tax expense. These taxes increasedincrease our previously taxed earnings and allow for the repatriation of the majority of our foreign earnings without any residual U.S. federal tax. While we believe that the financial reporting bases may be greater than the tax bases of investments in foreign subsidiaries for any earnings in excess of previously taxed amounts, such amounts are considered permanently reinvested. The cumulative temporary difference related to such permanently reinvested earnings is approximately $8.4$87.8 million, and we would anticipate the tax effect on those earnings to be immaterial as a result of U.S. tax reform.immaterial.
The amount of cash, cash equivalents and short-term investments held by foreign subsidiaries is subject to translation adjustments caused by changes in foreign currency exchange rates as of the end of each respective reporting period, the offset to which is recorded in accumulated other comprehensive loss on our condensed consolidated balance sheet.
Cash Flows from Operating Activities
Six Months Ended June 30,Three Months Ended March 31,
(in thousands)(in thousands)20202019Change(in thousands)20212020Change
Net cash provided by operating activitiesNet cash provided by operating activities$279,004  $240,117  $38,887  Net cash provided by operating activities$171,107 $147,412 $23,695 

Net cash provided by operating activities increased during the current fiscal yearfirst quarter due to increased net income (net of non-cash operating adjustments) of $35.7 million, partially offset by decreased net cash flows from operating assets and liabilities of $70.2 million, partially offset by decreased net income (net of non-cash operating adjustments) of $31.3$12.0 million. The growth in net cash provided by operating activities growth was impacted by a meaningful increase in customer receipts driven primarily by our ability to delay certain income, employment and indirect tax payments intostrong growth in the second halffourth quarter of 2020 as well as increased collections of aged accounts, partially offset by increased outflows related to operational payments and beyond due to payment extensions issued by governments in connection with COVID-19.income taxes.

Cash Flows from Investing Activities
Six Months Ended June 30,Three Months Ended March 31,
(in thousands)(in thousands)20202019Change(in thousands)20212020Change
Net cash used in investing activitiesNet cash used in investing activities$(119,566) $(311,277) $191,711  Net cash used in investing activities$(15,863)$(9,599)$(6,264)

Net cash used in investing activities decreasedincreased during the current fiscal yearfirst quarter due to decreasedincreased acquisition-related net cash outlays of $185.1$8.4 million. We currently plan capital spending of $40.0$30.0 million to $50.0$40.0 million during fiscal year 20202021 as compared to the $44.9$35.4 million that was spent in fiscal year 2019.2020. The level of spending will depend on various factors, including the growth of the business, and general economic conditions as well asand the ongoing impact of the COVID-19 pandemic on our operations.COVID-19.
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Cash Flows from Financing Activities
Six Months Ended June 30,Three Months Ended March 31,
(in thousands)(in thousands)20202019Change(in thousands)20212020Change
Net cash used in financing activitiesNet cash used in financing activities$(285,551) $(75,558) $(209,993) Net cash used in financing activities$(74,208)$(288,738)$214,530 

Net cash used in financing activities increaseddecreased during the current fiscal yearfirst quarter due to increaseddecreased stock repurchases of $101.9$161.0 million increasedand decreased principal payments on long-term debt of $75.0 million, partially offset by increased restricted stock withholding taxes paid in lieu of issued shares of $29.8 million, and decreased proceeds from shares issued for stock-based compensation of $4.9$23.6 million.
Other Cash Flow Information
As of March 31, 2021, the carrying value of our term loans was $798.2 million, of which $4.7 million is due in the next twelve months.
We previously entered into noncancellable operating lease commitments, primarily for our domestic and international offices as well as certain operating equipment. The commitments related to these operating leases is $148.3 million, of which $26.6 million is due in the next twelve months.
We believe that existing cash and cash equivalent balances of $744.5$987.4 million, together with cash generated from operations and access to the $500.0 million Revolving Credit Facility, will be sufficient to meet our working capital and capital expenditure requirements through the next twelve months. We also believe that our liquidity will allow us to manage the anticipated impact of COVID-19 on our business operations for the foreseeable future. Our cash requirements in the future may also be financed through additional equity or debt financings. However, future disruptions in the capital markets could make financing more challenging, and there can be no assurance that such financing can be obtained on commercially reasonable terms, or at all.
We also believe that our liquidity will allow us to manage the anticipated impact of COVID-19 on our business operations for the foreseeable future. However, we have seen delays in customer payments on existing contracts, primarily in China, and longer payment terms requested for new contracts. While such requests were initially in the automotive industry, we have experienced the expansion of such requests in many other industries, particularly related to larger contract commitments, during the second quarter. Management reviews these requests weekly and approves on a case-by-case basis. We expect that an estimated $15 - $25 million of customer payments that would have otherwise been made in 2020 will be delayed to 2021.
Under our stock repurchase program, we repurchased shares as follows:
Six Months Ended
(in thousands, except per share data)June 30,
2020
June 30,
2019
Number of shares repurchased690330  
Average price paid per share$233.48  $179.41  
Total cost$161,029  $59,116  
Three Months Ended
(in thousands, except per share data)March 31,
2021
March 31,
2020
Number of shares repurchased690 
Average price paid per share$$233.48 
Total cost$$161,029 
All of the shares of common stock repurchased during the first six months of 2020 were repurchased in the first quarter of 2020.
As of June 30, 2020,March 31, 2021, 2.8 million shares remained available for repurchase under the program.
The authorized repurchase program does not have an expiration date, and the pace of the repurchase activity will depend on factors such as working capital needs, cash requirements for acquisitions, our stock price, and economic and market conditions. Our stock repurchases may be effected from time to time through open market purchases or pursuant to a Rule 10b5-1 plan.
We continue to generate positive cash flows from operating activities and believe that the best uses of our excess cash are to invest in the business; acquire or make investments in complementary companies, products, services and technologies; and make payments on our outstanding debt balances. Any future acquisitions may be funded by available cash and investments, cash generated from operations, debt financing, or the issuance of additional securities. Additionally, we have in the past, and expect in the future, to repurchase stock in order to both offset dilution and return capital, in excess of our requirements, to stockholders with the goal of increasing stockholder value.
Off-Balance-Sheet Arrangements
We do not have any special-purpose entities or off-balance-sheet financing.arrangements.
Contractual Obligations
There were no material changes to our significant contractual obligations during the sixthree months ended June 30, 2020March 31, 2021 as compared to those previously reported within “Management’s"Management’s Discussion and Analysis of Financial Condition and Results of Operations”Operations" in our 20192020 Form 10-K.
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Critical Accounting Policies and Estimates

During the first quarter of 2020,2021, we completed the annual impairment test for goodwill and the indefinite-lived intangible asset and determined that these assets had not been impaired as of the test date, January 1, 2020. Given the adverse economic and market conditions caused by COVID-19, we considered a variety of qualitative factors to determine if an additional quantitative impairment test was required subsequent to our annual impairment test. Based on a variety of factors, including the excess of the fair values over the carrying amounts in the most recent impairment test, we determined it was not more likely than not that an impairment existed as of March 31, 2020.2021. No other events or circumstances changed during the sixthree months ended June 30, 2020March 31, 2021 that would indicate that the fair values of our reporting unit and indefinite-lived intangible asset are below their carrying amounts.
No significant changes have occurred to our critical accounting policies and estimates as previously reported within “Management’s"Management’s Discussion and Analysis of Financial Condition and Results of Operations”Operations" in our 20192020 Form 10-K.





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Item 3. Quantitative and Qualitative Disclosures About Market Risk
Interest Rate Risk. Changes in the overall level of interest rates affect the interest income that is generated from our cash, cash equivalents and short-term investments and the interest expense that is generated from our outstanding borrowings. For the three and six months ended June 30, 2020,March 31, 2021, interest income was $0.9$0.5 million and $3.7 million, respectively, and interest expense was $3.0 million and $6.7 million, respectively.$3.3 million. Cash and cash equivalents consist primarily of highly liquid investments such as money market funds and deposits held at major banks. Short-term investments consist primarily of deposits held by certain foreign subsidiaries with original maturities of three months to one year.
Foreign Currency Transaction Risk. As we operate in international regions, a portion of our revenue, expenses, cash, accounts receivable and payment obligations are denominated in foreign currencies. As a result, changes in currency exchange rates will affect our financial position, results of operations and cash flows. While all of the economic effects ofThe currency exchange rate volatility due to COVID-19 are not known, it may expose us to additionalhas increased our foreign currency transaction risk. We are most impacted by movements in and among the Euro, Japanese Yen and U.S. Dollar.
With respect to revenue, on average for the quarter ended June 30, 2020,March 31, 2021, the U.S. Dollar was approximately 0.9% stronger,6.5% weaker, when measured against our primary foreign currencies, than for the quarter ended June 30, 2019. With respect to revenue, on average for the six months ended June 30, 2020, the U.S. Dollar was approximately 1.3% stronger, when measured against our primary foreign currencies, than for the six months ended June 30, 2019.March 31, 2020. The table below presents the net favorable impacts of currency fluctuations on revenue for the three and six months ended June 30, 2020. Amounts in brackets indicate a net adverse impact from currency fluctuations.March 31, 2021.
(in thousands)Three Months Ended June 30, 2020Six Months Ended June 30, 2020
Euro$(1,247) $(3,250) 
South Korean Won(705) (1,615) 
Indian Rupee(489) (717) 
British Pound(322) (504) 
Canadian Dollar(192) (213) 
Japanese Yen1,120  1,652  
Taiwan Dollar253  421  
Other40  94  
Total$(1,542) $(4,132) 
(in thousands)Three Months Ended March 31, 2021
Euro$6,120
South Korean Won1,369
British Pound820
Japanese Yen782
Other821
Total$9,912

The impacts from currency fluctuations resulted in increased operating income of $0.5 million and $0.2$2.0 million for the three and six months ended June 30, 2020, respectively,March 31, 2021 as compared to the three and six months ended June 30, 2019.March 31, 2020.
The most significant currency impacts on revenue and operating income are typically attributable to U.S. Dollar exchange rate changes against the British Pound, Euro and Japanese Yen and South Korean Won.Yen. Historical exchange rates for these currency pairs are reflected in the charts below:
Period-End Exchange Rates
As ofGBP/USDEUR/USDUSD/JPYUSD/KRW
June 30, 20191.269  1.137  107.910  1,157.407  
December 31, 20191.326  1.121  108.637  1,156.069  
June 30, 20201.240  1.123  107.945  1,199.616  
Period-End Exchange Rates
As ofEUR/USDUSD/JPY
March 31, 20211.17 110.73 
December 31, 20201.22 103.27 
March 31, 20201.10 107.56 
Average Exchange Rates
Three Months EndedGBP/USDEUR/USDUSD/JPYUSD/KRW
June 30, 20191.285  1.124  109.905  1,166.680  
June 30, 20201.241  1.101  107.552  1,219.909  
Average Exchange Rates
Three Months EndedEUR/USDUSD/JPY
March 31, 20211.21 105.91 
March 31, 20201.10 108.99 
Average Exchange Rates
Six Months EndedGBP/USDEUR/USDUSD/JPYUSD/KRW
June 30, 20191.294  1.130  110.052  1,146.110  
June 30, 20201.260  1.102  108.266  1,206.442  

No other material change has occurred in our market risk subsequent to December 31, 2019.

2020.
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Item 4.Controls and Procedures
Evaluation of Disclosure Controls and ProceduresAs required by Rules 13a-15 and 15d-15 of the Securities Exchange Act of 1934, as amended, or the Exchange Act, we have evaluated, with the participation of management, including the Chief Executive Officer and the Chief Financial Officer, the effectiveness of the design and operation of our disclosure controls and procedures as of the end of the period covered by this report. Based on such evaluation, the Chief Executive Officer and Chief Financial Officer have concluded that such disclosure controls and procedures are effective, as defined in Rule 13a-15(e) of the Exchange Act.
We believe, based on our knowledge, that the financial statements and other financial information included in this report fairly present, in all material respects, our financial condition, results of operations and cash flows as of and for the periods presented in this report. We are committed to both a sound internal control environment and to good corporate governance.
Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. 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 policies or procedures may deteriorate.
From time to time, we review the disclosure controls and procedures, and may periodically make changes to enhance their effectiveness and to ensure that our systems evolve with our business.
Changes in Internal Control. There were no changes in our internal control over financial reporting that occurred during the three months ended June 30, 2020March 31, 2021 that materially affected, or werethat are reasonably likely to materially affect, our internal control over financial reporting. Although the majority of our employee base worked remotely, the remote work arrangements did not adversely affect our ability to maintain financial operations, including our financial reporting systems, internal controls over financial reporting and disclosure controls and procedures.


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PART II – OTHER INFORMATION
 
Item 1.Legal Proceedings
We are subject to various investigations, claims and legal proceedings that arise in the ordinary course of business, including commercial disputes, labor and employment matters, tax audits and litigations, alleged infringement of intellectual property rights and other matters. InUse or distribution of our opinion, the resolutionproducts could generate product liability, regulatory infraction, or similar claims by our customers, end users, channel partners, government entities or other third parties. Sales and marketing activities that impact processing of pending matters is not expectedpersonal data, as well as measures taken to have a material adverse effect on our condensed consolidated resultsensure license compliance, may also result in claims by customers and individual employees of operations, cash flows or financial position. However, eachcustomers. Each of these matters is subject to various uncertainties, and it is possible that an unfavorable resolution of one or more of these proceedingsmatters could materially affecthave a significant adverse effect on our results of operations, cash flows orcondensed consolidated financial position.statements as well as cause reputational damage.

Item 1A. Risk Factors
We face a number of risks that could materially and adversely affect our business, financial position, results of operations and cash flows. A discussion of our risk factors can be found in “Item 1A. Risk Factors,”Part I, Item 1A "Risk Factors" in our 20192020 Form 10-K. The risk factor set forth below includes additional information relatingNo material changes have occurred to the COVID-19 pandemic, and updates, and should be read together with, thesuch risk factors disclosed inafter the filing of our 2019 Form 10-K and first quarter 2020 Form 10-Q. The impact of COVID-19 may also exacerbate other risks discussed in Item 1A. “Risk Factors” in our 2019 Form 10-K, any of which could have a material effect on us. This situation continues to evolve and additional impacts may arise of which we are currently not aware.
The COVID-19 pandemic has had, and is expected to continue to have, an adverse impact on our business, employees, liquidity, financial condition, results of operations and cash flows.

The COVID-19 outbreak and preventative measures taken to contain the COVID-19 outbreak are constantly changing and continue to cause business slowdowns and shutdowns in affected areas. The pandemic has caused, and in the future could cause, significant disruption in the financial and credit markets both globally and in the United States.

While the full impact of this outbreak is not yet known, we are closely monitoring the spread of COVID-19 and continually assessing its potential effects on our business. In response to the pandemic, we closed our offices and transitioned to a remote work environment and implemented certain travel restrictions, both of which have disrupted how we operate our business. While most of our offices have since reopened, many have reopened on a limited basis, so remote access remains the primary means of work for a majority of our workforce. Our continuing efforts to reopen our offices safely may not be successful, could expose our personnel to health risks and will involve additional financial burdens. In addition, we announced the cancellation of many in-person customer and industry events for the second quarter of 2020. We have shifted a majority of our customer events to virtual-only experiences, including hosting Simulation World in June, and we are pursuing a micro-event strategy for critical in-person events, until the end of 2020. Micro-events include smaller groups with a targeted purpose and do not require exhibit booths. These events may not be as successful as in-person events. We also may deem it advisable to similarly alter, postpone or cancel entirely additional customer, employee or industry events in the future.

These impacts could continue for the foreseeable future. In addition, an extended period of remote work arrangements may negatively impact the sales pipeline due to reduced, delayed, or altered sales and marketing interactions with customers and potential customers, expose us to increased risk of cyber incidents, delay or alter product roadmaps or research and development due to reduced or limited access to technologies, equipment, or services, and delay or disrupt recruitment efforts. Limitations on availability, ease of use or increased cost related to the use of our products in our customers’ remote work environments could also result in a decline in demand for our products. Furthermore, if the COVID-19 pandemic has a substantial impact on our employees, partners or customers’ attendance or productivity, our results of operations and overall financial performance may be harmed.

We anticipate continued adverse revenue and net income impacts from COVID-19 as a result of the economic slowdown and the decrease in customer spending. Customers have delayed transactions with us due to the uncertainty resulting from COVID-19. In the first half of 2020 there was a decrease in multi-year leases and large enterprise agreements. Furthermore, during this same period, the shifting preference from perpetual licenses to time-based licenses was elevated as a result of the impacts of COVID-19. We expect both of these trends to continue. There may also be continued lower activity levels in the end markets we service or declining financial performance of our customers and channel partners, which could result in lower rates of renewal, which have historically been stable and high, and cancellations, reductions, or delays for our products and services. Due to our subscription-based business model, the effect of the pandemic may not be fully reflected in our results of operations until future periods. Recessionary macroeconomic conditions could suppress customer demand broadly and could negatively affect stock prices, including the price of our common stock.

The situation surrounding COVID-19 remains fluid, and given its inherent uncertainty, we expect the pandemic will continue to have an adverse impact on our business in the near term. The duration and extent of the impact from the COVID-19 pandemic
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depends on future developments that cannot be accurately predicted at this time, such as the severity and transmission rate of the virus, the extent and effectiveness of containment actions, the nature and scope of government economic recovery measures and the impact of these and other factors on our employees, customers, partners and vendors. Should these conditions persist for a prolonged period, the COVID-19 pandemic, including any of the above factors and others that are currently unknown, could have a material adverse effect on our business, employees, liquidity, financial condition, results of operations and cash flows.

Our business practices with respect to the collection, use and management of personal information could give rise to operational interruption, liabilities or reputational harm as a result of governmental regulation, legal requirements or industry standards relating to consumer privacy and data protection.

As regulatory focus on privacy, data and security issues continues to increase and evolve, and as worldwide laws and regulations concerning the handling of personal data expand and become more complex, implementation standards remain uncertain and potential risks related to data processing within our business may intensify.

In addition to Standard Contractual Clauses (“SCCs”) or Binding Corporate Rules, the E.U. and the United States formally entered into a framework in July 2016 that provided an additional mechanism for companies to transfer data from E.U. member states to the U.S., known as the Privacy Shield. On July 16, 2020, the Court of Justice invalidated the Privacy Shield, and also opined on compliance obligations for companies relying upon SCCs as their valid basis of transferring personal data outside of the E.U. This decision leads to uncertainty about the legal basis for personal data transfers out of the E.U. to the U.S. Potential new rules and restrictions on the flow of data across borders could increase the cost and complexity of delivering our products and services in some markets. This decision could also give rise to operational interruption in the performance of services for customers and internal processing of employee information, regulatory liabilities or reputational harm.10-K.

Item 2.Unregistered Sales of Equity Securities and Use of Proceeds
None.

Item 3.Defaults Upon Senior Securities
None.

Item 4.Mine Safety Disclosures
Not applicable.

Item 5.Other Information
None.

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Item 6.Exhibits
Exhibit No.Exhibit
15

31.1

31.2

32.1

32.2
10.24
10.25
10.26
101.INSInline XBRL Instance Document (the instance document does not appear in the Interactive Data File because its XBRL tags are embedded within the Inline XBRL document)
101.SCHInline XBRL Taxonomy Extension Schema
101.CALInline XBRL Taxonomy Extension Calculation Linkbase
101.DEFInline XBRL Taxonomy Extension Definition Linkbase
101.LABInline XBRL Taxonomy Extension Label Linkbase
101.PREInline XBRL Taxonomy Extension Presentation Linkbase
104Cover Page Interactive Data File (formatted as Inline XBRL and contained in Exhibit 101)
*Indicates management contract or compensatory plan, contract or arrangement.
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SIGNATURES
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.
ANSYS, Inc.
Date:AugustMay 5, 20202021By:
/s/ Ajei S. Gopal
Ajei S. Gopal
President and Chief Executive Officer
(Principal Executive Officer)
Date:AugustMay 5, 20202021By:
/s/ Maria T. ShieldsNicole Anasenes
Maria T. ShieldsNicole Anasenes
Chief Financial Officer and Senior Vice President, Finance
(Principal Financial Officer and Principal Accounting Officer)
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