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 September 30, 20222023
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 each 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 accelerated filer," "accelerated filer," "smaller reporting company," and "emerging growth 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 October 28, 202227, 2023 was 87,112,23586,872,803 shares.



ANSYS, INC. AND SUBSIDIARIES
INDEX
  
Page No.

2

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)September 30,
2022
December 31,
2021
(in thousands, except share and per share data)September 30,
2023
December 31,
2022
ASSETSASSETSASSETS
Current assets:Current assets:Current assets:
Cash and cash equivalentsCash and cash equivalents$632,509 $667,667 Cash and cash equivalents$639,342 $614,391 
Short-term investmentsShort-term investments194 361 Short-term investments171 183 
Accounts receivable, less allowance for doubtful accounts of $14,600602,607 645,891 
Accounts receivable, less allowance for doubtful accounts of $20,700 and $18,300, respectivelyAccounts receivable, less allowance for doubtful accounts of $20,700 and $18,300, respectively673,973 760,287 
Other receivables and current assetsOther receivables and current assets214,566 324,655 Other receivables and current assets229,013 289,261 
Total current assetsTotal current assets1,449,876 1,638,574 Total current assets1,542,499 1,664,122 
Long-term assets:Long-term assets:Long-term assets:
Property and equipment, netProperty and equipment, net77,748 87,914 Property and equipment, net75,431 80,838 
Operating lease right-of-use assetsOperating lease right-of-use assets123,511 120,881 Operating lease right-of-use assets116,187 129,140 
GoodwillGoodwill3,532,459 3,409,271 Goodwill3,769,321 3,658,267 
Other intangible assets, netOther intangible assets, net739,202 763,119 Other intangible assets, net849,205 809,183 
Other long-term assetsOther long-term assets214,648 279,676 Other long-term assets174,289 261,880 
Deferred income taxesDeferred income taxes24,196 24,879 Deferred income taxes146,588 84,515 
Total long-term assetsTotal long-term assets4,711,764 4,685,740 Total long-term assets5,131,021 5,023,823 
Total assetsTotal assets$6,161,640 $6,324,314 Total assets$6,673,520 $6,687,945 
LIABILITIES AND STOCKHOLDERS' EQUITYLIABILITIES AND STOCKHOLDERS' EQUITYLIABILITIES AND STOCKHOLDERS' EQUITY
Current liabilities:Current liabilities:Current liabilities:
Accounts payableAccounts payable$17,353 $10,863 Accounts payable$14,801 $14,021 
Accrued bonuses and commissionsAccrued bonuses and commissions80,282 163,182 Accrued bonuses and commissions89,327 160,908 
Accrued income taxesAccrued income taxes16,461 8,410 Accrued income taxes14,652 7,698 
Other accrued expenses and liabilitiesOther accrued expenses and liabilities160,693 204,509 Other accrued expenses and liabilities165,983 198,220 
Deferred revenueDeferred revenue334,901 391,528 Deferred revenue349,668 413,989 
Total current liabilitiesTotal current liabilities609,690 778,492 Total current liabilities634,431 794,836 
Long-term liabilities:Long-term liabilities:Long-term liabilities:
Deferred income taxesDeferred income taxes48,357 105,548 Deferred income taxes70,360 58,126 
Long-term operating lease liabilitiesLong-term operating lease liabilities109,706 104,378 Long-term operating lease liabilities100,071 112,802 
Long-term debtLong-term debt753,495 753,576 Long-term debt753,812 753,574 
Other long-term liabilitiesOther long-term liabilities96,707 98,272 Other long-term liabilities108,046 102,756 
Total long-term liabilitiesTotal long-term liabilities1,008,265 1,061,774 Total long-term liabilities1,032,289 1,027,258 
Commitments and contingenciesCommitments and contingenciesCommitments and contingencies
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 outstanding — 
Common stock, $0.01 par value; 300,000,000 shares authorized; 95,267,307 shares issuedCommon stock, $0.01 par value; 300,000,000 shares authorized; 95,267,307 shares issued953 953 Common stock, $0.01 par value; 300,000,000 shares authorized; 95,267,307 shares issued953 953 
Additional paid-in capitalAdditional paid-in capital1,500,330 1,465,694 Additional paid-in capital1,612,269 1,540,317 
Retained earningsRetained earnings4,524,983 4,259,220 Retained earnings5,008,580 4,782,930 
Treasury stock, at cost: 8,178,940 and 8,188,331 shares, respectively(1,294,098)(1,185,707)
Treasury stock, at cost: 8,428,972 and 8,317,389 shares, respectivelyTreasury stock, at cost: 8,428,972 and 8,317,389 shares, respectively(1,480,733)(1,335,627)
Accumulated other comprehensive lossAccumulated other comprehensive loss(188,483)(56,112)Accumulated other comprehensive loss(134,269)(122,722)
Total stockholders' equityTotal stockholders' equity4,543,685 4,484,048 Total stockholders' equity5,006,800 4,865,851 
Total liabilities and stockholders' equityTotal liabilities and stockholders' equity$6,161,640 $6,324,314 Total liabilities and stockholders' equity$6,673,520 $6,687,945 

The accompanying notes are an integral part of the condensed consolidated financial statements.
3

Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF INCOME
(Unaudited)
Three Months EndedNine Months EndedThree Months EndedNine Months Ended
(in thousands, except per share data)(in thousands, except per share data)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands, except per share data)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Revenue:Revenue:Revenue:
Software licensesSoftware licenses$208,906 $200,394 $575,332 $547,820 Software licenses$162,422 $208,906 $586,471 $575,332 
Maintenance and serviceMaintenance and service263,605 240,774 796,106 703,228 Maintenance and service296,373 263,605 878,370 796,106 
Total revenueTotal revenue472,511 441,168 1,371,438 1,251,048 Total revenue458,795 472,511 1,464,841 1,371,438 
Cost of sales:Cost of sales:Cost of sales:
Software licensesSoftware licenses8,425 8,289 25,370 23,960 Software licenses8,692 8,425 29,095 25,370 
AmortizationAmortization17,281 15,189 51,947 45,163 Amortization20,707 17,281 60,404 51,947 
Maintenance and serviceMaintenance and service36,261 39,268 111,897 119,884 Maintenance and service35,858 36,261 111,750 111,897 
Total cost of salesTotal cost of sales61,967 62,746 189,214 189,007 Total cost of sales65,257 61,967 201,249 189,214 
Gross profitGross profit410,544 378,422 1,182,224 1,062,041 Gross profit393,538 410,544 1,263,592 1,182,224 
Operating expenses:Operating expenses:Operating expenses:
Selling, general and administrativeSelling, general and administrative175,283 165,368 515,421 471,993 Selling, general and administrative194,552 175,283 585,278 515,421 
Research and developmentResearch and development108,056 102,023 322,271 303,381 Research and development123,223 108,056 368,581 322,271 
AmortizationAmortization3,821 3,403 11,975 12,244 Amortization5,947 3,821 16,598 11,975 
Total operating expensesTotal operating expenses287,160 270,794 849,667 787,618 Total operating expenses323,722 287,160 970,457 849,667 
Operating incomeOperating income123,384 107,628 332,557 274,423 Operating income69,816 123,384 293,135 332,557 
Interest incomeInterest income1,345 541 2,141 1,544 Interest income4,909 1,345 12,389 2,141 
Interest expenseInterest expense(6,092)(2,943)(13,668)(9,594)Interest expense(12,276)(6,092)(34,594)(13,668)
Other (expense) income, net(656)(1,328)(2,126)14,008 
Other income (expense), netOther income (expense), net96 (656)(3,564)(2,126)
Income before income tax provisionIncome before income tax provision117,981 103,898 318,904 280,381 Income before income tax provision62,545 117,981 267,366 318,904 
Income tax provisionIncome tax provision22,006 18,556 53,141 28,925 Income tax provision7,043 22,006 41,716 53,141 
Net incomeNet income$95,975 $85,342 $265,763 $251,456 Net income$55,502 $95,975 $225,650 $265,763 
Earnings per share – basic:Earnings per share – basic:Earnings per share – basic:
Earnings per shareEarnings per share$1.10 $0.98 $3.05 $2.89 Earnings per share$0.64 $1.10 $2.60 $3.05 
Weighted average sharesWeighted average shares87,063 87,239 87,062 87,072 Weighted average shares86,817 87,063 86,814 87,062 
Earnings per share – diluted:Earnings per share – diluted:Earnings per share – diluted:
Earnings per shareEarnings per share$1.10 $0.97 $3.04 $2.86 Earnings per share$0.64 $1.10 $2.58 $3.04 
Weighted average sharesWeighted average shares87,418 88,169 87,496 88,069 Weighted average shares87,381 87,418 87,335 87,496 

The accompanying notes are an integral part of the condensed consolidated financial statements.
4

Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(Unaudited)
Three Months EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands)(in thousands)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Net incomeNet income$95,975 $85,342 $265,763 $251,456 Net income$55,502 $95,975 $225,650 $265,763 
Other comprehensive loss:Other comprehensive loss:Other comprehensive loss:
Foreign currency translation adjustmentsForeign currency translation adjustments(61,636)(16,304)(132,371)(31,351)Foreign currency translation adjustments(32,834)(61,636)(11,547)(132,371)
Comprehensive incomeComprehensive income$34,339 $69,038 $133,392 $220,105 Comprehensive income$22,668 $34,339 $214,103 $133,392 

The accompanying notes are an integral part of the condensed consolidated financial statements.
5

Table of Contents

ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS
(Unaudited)
Nine Months Ended Nine Months Ended
(in thousands)(in thousands)September 30,
2022
September 30,
2021
(in thousands)September 30,
2023
September 30,
2022
Cash flows from operating activities:Cash flows from operating activities:Cash flows from operating activities:
Net incomeNet income$265,763 $251,456 Net income$225,650 $265,763 
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 amortization86,239 80,500 Depreciation and intangible assets amortization99,016 86,239 
Operating lease right-of-use assets expenseOperating lease right-of-use assets expense17,356 16,896 Operating lease right-of-use assets expense17,625 17,356 
Deferred income tax benefitDeferred income tax benefit(63,560)(22,459)Deferred income tax benefit(74,426)(63,560)
Provision for bad debtsProvision for bad debts2,476 827 Provision for bad debts2,442 2,476 
Stock-based compensation expenseStock-based compensation expense122,119 122,148 Stock-based compensation expense158,533 122,119 
Gain on equity investment (15,139)
OtherOther4,986 1,940 Other1,252 4,986 
Changes in operating assets and liabilities:Changes in operating assets and liabilities:Changes in operating assets and liabilities:
Accounts receivableAccounts receivable66,369 86,098 Accounts receivable168,958 66,369 
Other receivables and current assetsOther receivables and current assets96,641 57,992 Other receivables and current assets61,203 96,641 
Other long-term assetsOther long-term assets(3,121)(2,548)Other long-term assets(5,897)(3,121)
Accounts payable, accrued expenses and current liabilitiesAccounts payable, accrued expenses and current liabilities(111,039)(58,520)Accounts payable, accrued expenses and current liabilities(105,197)(111,039)
Accrued income taxesAccrued income taxes9,751 (18,997)Accrued income taxes6,327 9,751 
Deferred revenueDeferred revenue(28,203)(46,467)Deferred revenue(65,242)(28,203)
Other long-term liabilitiesOther long-term liabilities(8,746)(5,898)Other long-term liabilities(5,844)(8,746)
Net cash provided by operating activitiesNet cash provided by operating activities457,031 447,829 Net cash provided by operating activities484,400 457,031 
Cash flows from investing activities:Cash flows from investing activities:Cash flows from investing activities:
Acquisitions, net of cash acquiredAcquisitions, net of cash acquired(242,613)(105,141)Acquisitions, net of cash acquired(197,786)(242,613)
Capital expendituresCapital expenditures(15,227)(18,133)Capital expenditures(16,541)(15,227)
Other investing activitiesOther investing activities(782)(382)Other investing activities(5,839)(782)
Net cash used in investing activitiesNet cash used in investing activities(258,622)(123,656)Net cash used in investing activities(220,166)(258,622)
Cash flows from financing activities:Cash flows from financing activities:Cash flows from financing activities:
Principal payments on long-term debt (45,000)
Purchase of treasury stockPurchase of treasury stock(155,571)(35,993)Purchase of treasury stock(196,494)(155,571)
Restricted stock withholding taxes paid in lieu of issued sharesRestricted stock withholding taxes paid in lieu of issued shares(62,035)(92,143)Restricted stock withholding taxes paid in lieu of issued shares(60,827)(62,035)
Proceeds from shares issued for stock-based compensationProceeds from shares issued for stock-based compensation20,918 26,321 Proceeds from shares issued for stock-based compensation26,015 20,918 
Other financing activitiesOther financing activities(1,290)(50)Other financing activities(1,294)(1,290)
Net cash used in financing activitiesNet cash used in financing activities(197,978)(146,865)Net cash used in financing activities(232,600)(197,978)
Effect of exchange rate fluctuations on cash and cash equivalentsEffect of exchange rate fluctuations on cash and cash equivalents(35,589)(9,142)Effect of exchange rate fluctuations on cash and cash equivalents(6,683)(35,589)
Net (decrease) increase in cash and cash equivalents(35,158)168,166 
Net increase (decrease) in cash and cash equivalentsNet increase (decrease) in cash and cash equivalents24,951 (35,158)
Cash and cash equivalents, beginning of periodCash and cash equivalents, beginning of period667,667 912,672 Cash and cash equivalents, beginning of period614,391 667,667 
Cash and cash equivalents, end of periodCash and cash equivalents, end of period$632,509 $1,080,838 Cash and cash equivalents, end of period$639,342 $632,509 
Supplemental disclosure of cash flow information:Supplemental disclosure of cash flow information:Supplemental disclosure of cash flow information:
Income taxes paidIncome taxes paid$42,055 $59,973 Income taxes paid$100,135 $42,055 
Interest paidInterest paid$12,192 $8,721 Interest paid$33,795 $12,192 
Fair value of unpaid consideration in connection with acquisitions$3,391 $— 
Non-cash and unpaid consideration in connection with acquisitionsNon-cash and unpaid consideration in connection with acquisitions$5,056 $3,391 

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


6

Table of Contents
ANSYS, INC. AND SUBSIDIARIES
CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY
(Unaudited)
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated Other Comprehensive LossTotal
Stockholders'
Equity
Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated Other Comprehensive (Loss) IncomeTotal
Stockholders'
Equity
(in thousands)(in thousands)SharesAmountSharesAmount(in thousands)SharesAmountSharesAmount
Balance, January 1, 202295,267$953 $1,465,694 $4,259,220 8,188 $(1,185,707)$(56,112)$4,484,048 
Treasury shares acquired500 (155,571)(155,571)
Balance, January 1, 2023Balance, January 1, 202395,267$953 $1,540,317 $4,782,930 8,317 $(1,335,627)$(122,722)$4,865,851 
Treasury shares acquired, including excise taxTreasury shares acquired, including excise tax650 (197,416)(197,416)
Stock-based compensation activityStock-based compensation activity(34,529)(356)34,350 (179)
Other comprehensive incomeOther comprehensive income13,284 13,284 
Net incomeNet income100,622 100,622 
Balance, March 31, 2023Balance, March 31, 202395,267$953 $1,505,788 $4,883,552 8,611$(1,498,693)$(109,438)$4,782,162 
Treasury shares acquired, including excise taxTreasury shares acquired, including excise tax343 343 
Stock-based compensation activityStock-based compensation activity44,365 (105)10,013 54,378 
Other comprehensive incomeOther comprehensive income8,003 8,003 
Net incomeNet income69,52669,526 
Balance, June 30, 2023Balance, June 30, 202395,267$953 $1,550,153 $4,953,078 8,506$(1,488,337)$(101,435)$4,914,412 
Treasury shares acquired, including excise taxTreasury shares acquired, including excise tax264 264 
Stock-based compensation activityStock-based compensation activity(50,287)(403)36,865 (13,422)Stock-based compensation activity62,116 (77)7,340 69,456 
Other comprehensive lossOther comprehensive loss(22,092)(22,092)Other comprehensive loss(32,834)(32,834)
Net incomeNet income70,988 70,988 Net income55,50255,502
Balance, March 31, 202295,267$953 $1,415,407 $4,330,208 8,285$(1,304,413)$(78,204)$4,363,951 
Acquisition of Analytical Graphics, Inc.511 (3)300 811 
Stock-based compensation activity34,631 (33)3,205 37,836 
Other comprehensive loss(48,643)(48,643)
Net income98,800 98,800 
Balance, June 30, 202295,267$953 $1,450,549 $4,429,008 8,249$(1,300,908)$(126,847)$4,452,755 
Stock-based compensation activity49,781 (70)6,810 56,591 
Other comprehensive loss(61,636)(61,636)
Net income95,97595,975 
Balance, September 30, 202295,267$953 $1,500,330 $4,524,983 8,179$(1,294,098)$(188,483)$4,543,685 
Balance, September 30, 2023Balance, September 30, 202395,267$953 $1,612,269 $5,008,580 8,429$(1,480,733)$(134,269)$5,006,800 
    
 Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive (Loss) Income
Total
Stockholders'
Equity
(in thousands)SharesAmountSharesAmount
Balance, January 1, 202195,266$953 $1,434,203 $3,804,593 8,694 $(1,124,102)$(17,775)$4,097,872 
Stock-based compensation activity(87,602)(565)48,565 (39,037)
Other comprehensive loss(19,264)(19,264)
Net income72,398 72,398 
Balance, March 31, 202195,266$953 $1,346,601 $3,876,991 8,129$(1,075,537)$(37,039)$4,111,969 
Acquisition of Analytical Graphics, Inc.328 328 
Stock-based compensation activity34,661 (63)5,327 39,988 
Other comprehensive income4,217 4,217 
Net income93,716 93,716 
Balance, June 30, 202195,267$953 $1,381,590 $3,970,707 8,066$(1,070,210)$(32,822)$4,250,218 
Acquisition of Analytical Graphics, Inc.454 (2)152 606 
Treasury shares acquired97 (35,993)(35,993)
Stock-based compensation activity46,375 (106)9,000 55,375 
Other comprehensive loss(16,304)(16,304)
Net income85,342 85,342 
Balance, September 30, 202195,267$953 $1,428,419 $4,056,049 8,055$(1,097,051)$(49,126)$4,339,244 
 Common StockAdditional
Paid-In
Capital
Retained
Earnings
Treasury StockAccumulated
Other
Comprehensive Loss
Total
Stockholders'
Equity
(in thousands)SharesAmountSharesAmount
Balance, January 1, 202295,267$953 $1,465,694 $4,259,220 8,188 $(1,185,707)$(56,112)$4,484,048 
Treasury shares acquired500 (155,571)(155,571)
Stock-based compensation
  activity
(50,287)(403)36,865 (13,422)
Other comprehensive loss(22,092)(22,092)
Net income70,988 70,988 
Balance, March 31, 202295,267$953 $1,415,407 $4,330,208 8,285$(1,304,413)$(78,204)$4,363,951 
Acquisition of Analytical
  Graphics, Inc.
511 (3)300 811 
Stock-based compensation
  activity
34,631 (33)3,205 37,836 
Other comprehensive loss(48,643)(48,643)
Net income98,800 98,800 
Balance, June 30, 202295,267$953 $1,450,549 $4,429,008 8,249$(1,300,908)$(126,847)$4,452,755 
Stock-based compensation
  activity
49,781 (70)6,810 56,591 
Other comprehensive loss(61,636)(61,636)
Net income95,975 95,975 
Balance, September 30, 202295,267$953 $1,500,330 $4,524,983 8,179$(1,294,098)$(188,483)$4,543,685 

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

7

Table of Contents
ANSYS, INC. AND SUBSIDIARIES
NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
September 30, 20222023
(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 high-tech, aerospace and defense, automotive, energy, industrial equipment, materials and chemicals, consumer products, healthcare and construction.
As defined by the accounting guidance for segment reporting, we operate as one 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.
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, 2021 (20212022 (2022 Form 10-K). The condensed consolidated December 31, 20212022 balance sheet presented is derived from the audited December 31, 20212022 balance sheet included in the 20212022 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. Operating results for the three and nine months ended September 30, 20222023 are not necessarily indicative of the results that may be expected for any future period.
Recently Adopted Accounting Guidance
Business combinations: In October 2021, Certain items in the Financial Accounting Standards Board issued ASU No. 2021-08, Business Combinations (Topic 805): Accounting for Contract Assets and Contract Liabilities from Contracts with Customers (ASU 2021-08). ASU 2021-08 requires contract assets and contract liabilities acquired in a business combinationnotes to be recognized and measured by the acquirercondensed consolidated financial statements of prior years have been reclassified to conform to the current year's presentation. These reclassifications had no effect on the acquisition date in accordance with Accounting Standards Codification (ASC) 606, Revenue from Contracts with Customers, as if the acquirer had originated the contracts. We adopted the standard effective January 1, 2022. Under the prior guidance, such assets and liabilities were recognized by the acquirer at fair value on the acquisition date. The standard does not impact acquired contractreported net income, comprehensive income, cash flows, total assets or total liabilities from business combinations that occurred prior to the effective date of adoption, and the impact in current and future periods will depend on the contract assets and contract liabilities acquired in business combinations after the effective date of adoption.stockholders' equity.
Accounting Guidance Issued and Not Yet Adopted
It is not expected that the future adoption of any recentlyRecently issued accounting pronouncements willare not expected to have a material impact on our financial position, results of operations or cash flows.
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flows upon adoption.
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:
September 30, 2022December 31, 2021 September 30, 2023December 31, 2022
(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$399,971 63.2 $580,047 86.9 Cash accounts$530,839 83.0 $503,733 82.0 
Money market fundsMoney market funds232,538 36.8 87,620 13.1 Money market funds108,503 17.0 110,658 18.0 
TotalTotal$632,509 $667,667 Total$639,342 $614,391 

Our money market fund balances are held in various funds of two issuers. a single issuer at September 30, 2023.

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3.Revenue from Contracts with Customers
Disaggregation of Revenue
The following table summarizes revenue:
Three Months EndedNine Months EndedThree Months EndedNine Months Ended
(in thousands, except percentages)(in thousands, except percentages)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands, except percentages)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Revenue:Revenue:Revenue:
Subscription lease licensesSubscription lease licenses$136,489 $120,516 $362,977 $315,387 Subscription lease licenses$103,573 $136,489 $386,494 $362,977 
Perpetual licensesPerpetual licenses72,417 79,878 212,355 232,433 Perpetual licenses58,849 72,417 199,977 212,355 
Software licensesSoftware licenses208,906 200,394 575,332 547,820 Software licenses162,422 208,906 586,471 575,332 
MaintenanceMaintenance247,678 223,872 742,554 655,843 Maintenance278,108 247,678 820,393 742,554 
ServiceService15,927 16,902 53,552 47,385 Service18,265 15,927 57,977 53,552 
Maintenance and serviceMaintenance and service263,605 240,774 796,106 703,228 Maintenance and service296,373 263,605 878,370 796,106 
Total revenueTotal revenue$472,511 $441,168 $1,371,438 $1,251,048 Total revenue$458,795 $472,511 $1,464,841 $1,371,438 
Direct revenue, as a percentage of total revenueDirect revenue, as a percentage of total revenue74.8 %74.4 %73.7 %74.0 %Direct revenue, as a percentage of total revenue73.5 %74.8 %73.7 %73.7 %
Indirect revenue, as a percentage of total revenueIndirect revenue, as a percentage of total revenue25.2 %25.6 %26.3 %26.0 %Indirect revenue, as a percentage of total revenue26.5 %25.2 %26.3 %26.3 %

Our software license 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 nine months ended September 30, 20222023 and 20212022 were as follows:
(in thousands)(in thousands)20222021(in thousands)20232022
Beginning balance – January 1Beginning balance – January 1$412,781 $388,810 Beginning balance – January 1$435,758 $412,781 
Acquired deferred revenueAcquired deferred revenue1,032 746 Acquired deferred revenue7,910 1,032 
Deferral of revenueDeferral of revenue1,343,122 1,202,547 Deferral of revenue1,399,367 1,343,122 
Recognition of revenueRecognition of revenue(1,371,438)(1,251,048)Recognition of revenue(1,464,841)(1,371,438)
Currency translationCurrency translation(30,779)(8,591)Currency translation(7,761)(30,779)
Ending balance – September 30Ending balance – September 30$354,718 $332,464 Ending balance – September 30$370,433 $354,718 

Total revenue allocated to remaining performance obligations as of September 30, 20222023 will be recognized as revenue as follows:
(in thousands) 
Next 12 months$674,142774,215 
Months 13-24270,106306,571 
Months 25-36121,55395,311 
Thereafter43,08729,580 
Total revenue allocated to remaining performance obligations$1,108,8881,205,677 

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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 deferred revenue associated with installment billings for periods beyond the current quarterly billing cycle.cycle and committed contracts with start dates beyond the end of the current period. Revenue recognized during the nine months ended September 30, 20222023 and 20212022 included amounts in deferred revenue and backlog at the beginning of the period of $706.2 million and $608.7 million, and $507.0 million, respectively.

4.Acquisitions
During the nine monthsquarter ended SeptemberJune 30, 2022,2023, we completed various strategic acquisitionsthe acquisition of Diakopto for a purchase price of $83.3 million, or $77.2 million net of cash acquired, to expand our solution offerings and enhance our customers' experience.multiphysics simulation portfolio for semiconductor designers. The effects of the acquisitionsbusiness combination were not material to our condensed consolidated results of operations individually or inoperations.
On January 3, 2023, we completed the aggregate. The combinedacquisition of DYNAmore for a purchase price of the acquisitions completed during the nine months ended September 30, 2022 was approximately $251.5$139.2 million, or $246.0or $126.4 million net of cash acquired. The acquisition expands our position as a simulation solution provider within the automotive industry. The effects of the acquisition were not material to our condensed consolidated results of operations.
During the three and nine months ended September 30, 2022,2023, we incurred acquisition-related expenses of $1.2$1.5 million and $5.4$5.8 million, respectively. Acquisition-related expenses are recognized as selling, general and administrative and research and development expenses on the condensed consolidated statements of income.
The assets acquired and liabilities assumed in connection with the acquisitions have been recorded based upon management's estimates of theirthe fair market values as of each respective date of acquisition. The following tables summarize the fair value of consideration transferred and the fair values of identified assets acquired and liabilities assumed for the combined 2022 acquisitions at each respective date of acquisition:
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Fair Value of Consideration:
Fair Value of Consideration:
(in thousands)
Cash$248,102217,392 
Consideration not yet paidNon-cash consideration3,3915,056 
Total consideration$251,493222,448 


Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed:
Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed:
(in thousands)
Cash$5,54018,866 
Accounts receivable and other tangible assets2,87318,152 
Developed software and core technologies60,03025,594 
Customer lists12683,790 
Trade names1,3042,910 
Accounts payable and other liabilities(5,195)(8,742)
Deferred revenue(1,032)(7,910)
Net deferred tax liabilities(10,720)(31,272)
Total identifiable net assets$52,926101,388 
Goodwill$198,567121,060 
The goodwill, which is not tax-deductible, is attributed to intangible assets that do not qualify for separate recognition, including the assembled workforces of the acquired businesses and the synergies expected to arise as a result of the acquisitions.
The fair valuesvalue 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 each respective acquisition date is obtained during the measurement period (up to one year from the acquisition date).
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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: selection of a valuation methodology, royalty rate, discount rate, attrition rate and attritionobsolescence rate.
The weighted-average useful life, valuation method and assumptions used to determine the fair value of the intangible assets acquired in 20222023 are as follows:
Intangible AssetWeighted-Average Useful LifeValuation MethodAssumptions
Developed software and core technologies85 yearsMulti-periodRelief-from-royalty or multi-period excess earnings
Royalty rate: 20.0%
Obsolescence rate: 20.0% Discount rate: 9.5%15.5% - 10.0%22.0%
Trade names95 yearsRelief-from-royalty
Royalty rate: 1.0% - 2.0%
Discount rate: 10.0%15.5% - 10.5%22.0%
Customer lists713 yearsMulti-period excess earnings
Attrition rate: 10.0%5.0%
Discount rate: 9.5%15.5% - 22.0%
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2022 Acquisitions
On October 1, 2021, we acquired 100% of the shares of Zemax, a leader in high-performance optical imaging system simulation, for a purchase price of $411.5 million, paid in cash, or $399.1 million net of cash acquired from Zemax. The acquisition expanded the scope of our optical and photonics simulation portfolio by giving users comprehensive solutions that can drive innovation in healthcare, autonomy, consumer electronics and the industrial internet of things (IIoT).
Additionally, duringDuring the year ended December 31, 2021,2022, we completed several other acquisitions to expand our solution offerings and enhance our customers' experience. These acquisitions were not individually significant. The combined purchase price of these acquisitions during the year ended December 31, 20212022 was $110.7$401.7 million,, which was paid in cash. or $390.8 million net of cash acquired.
The operating results of each acquisition have been included in our condensed consolidated financial statements since each respective date of acquisition.
See Note 16, Subsequent Event, for information on our recent acquisition completed subsequent to the end The effects of the period covered by this report.acquisitions were not material to our condensed consolidated results of operations.
5.Other Receivables and Current Assets and Other Accrued Expenses and Liabilities
Our other receivables and current assets and other accrued expenses and liabilities comprise the following balances:
(in thousands)(in thousands)September 30,
2022
December 31,
2021
(in thousands)September 30,
2023
December 31,
2022
Receivables related to unrecognized revenueReceivables related to unrecognized revenue$129,721 $200,888 Receivables related to unrecognized revenue$135,981 $209,139 
Income taxes receivable, including overpayments and refundsIncome taxes receivable, including overpayments and refunds31,411 71,332 Income taxes receivable, including overpayments and refunds37,097 28,963 
Prepaid expenses and other current assetsPrepaid expenses and other current assets53,434 52,435 Prepaid expenses and other current assets55,935 51,159 
Total other receivables and current assetsTotal other receivables and current assets$214,566 $324,655 Total other receivables and current assets$229,013 $289,261 
Accrued vacationAccrued vacation38,084 35,879 Accrued vacation44,369 39,118 
Consumption, VAT and sales tax liabilitiesConsumption, VAT and sales tax liabilities25,741 52,630 Consumption, VAT and sales tax liabilities16,298 41,812 
Accrued expenses and other current liabilitiesAccrued expenses and other current liabilities96,868 116,000 Accrued expenses and other current liabilities105,316 117,290 
Total other accrued expenses and liabilitiesTotal other accrued expenses and liabilities$160,693 $204,509 Total other accrued expenses and liabilities$165,983 $198,220 

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 EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands, except per share data)(in thousands, except per share data)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands, except per share data)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Net incomeNet income$95,975 $85,342 $265,763 $251,456 Net income$55,502 $95,975 $225,650 $265,763 
Weighted average shares outstanding – basicWeighted average shares outstanding – basic87,063 87,239 87,062 87,072 Weighted average shares outstanding – basic86,817 87,063 86,814 87,062 
Dilutive effect of stock plansDilutive effect of stock plans355 930 434 997 Dilutive effect of stock plans564 355 521 434 
Weighted average shares outstanding – dilutedWeighted average shares outstanding – diluted87,418 88,169 87,496 88,069 Weighted average shares outstanding – diluted87,381 87,418 87,335 87,496 
Basic earnings per shareBasic earnings per share$1.10 $0.98 $3.05 $2.89 Basic earnings per share$0.64 $1.10 $2.60 $3.05 
Diluted earnings per shareDiluted earnings per share$1.10 $0.97 $3.04 $2.86 Diluted earnings per share$0.64 $1.10 $2.58 $3.04 
Anti-dilutive sharesAnti-dilutive shares54 32 366 30 Anti-dilutive shares73 54 257 366 

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7.Goodwill and Intangible Assets
Intangible assets are classified as follows:
September 30, 2022December 31, 2021 September 30, 2023December 31, 2022
(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$1,028,973 $(464,227)$985,685 $(422,797)Developed software and core technologies$1,136,728 $(536,643)$1,106,789 $(483,033)
Customer listsCustomer lists191,742 (65,705)203,072 (57,175)Customer lists283,231 (82,267)205,484 (71,618)
Trade namesTrade names180,876 (132,814)182,554 (128,577)Trade names189,203 (141,404)186,424 (135,220)
TotalTotal$1,401,591 $(662,746)$1,371,311 $(608,549)Total$1,609,162 $(760,314)$1,498,697 $(689,871)
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.years.
As of September 30, 2022,2023, estimated future amortization expense for the intangible assets reflected above was as follows:
(in thousands)(in thousands) (in thousands) 
Remainder of 2022$20,702 
202389,581 
Remainder of 2023Remainder of 2023$26,383 
2024202491,442 2024111,049 
2025202590,950 2025113,657 
2026202691,270 2026114,451 
2027202793,004 2027117,260 
20282028110,478 
ThereafterThereafter261,896 Thereafter255,570 
Total intangible assets subject to amortizationTotal intangible assets subject to amortization738,845 Total intangible assets subject to amortization848,848 
Indefinite-lived trade nameIndefinite-lived trade name357 Indefinite-lived trade name357 
Other intangible assets, netOther intangible assets, net$739,202 Other intangible assets, net$849,205 

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The changes in goodwill during the nine months ended September 30, 20222023 and 20212022 were as follows:
(in thousands)(in thousands)20222021(in thousands)20232022
Beginning balance – January 1Beginning balance – January 1$3,409,271 $3,038,306 Beginning balance – January 1$3,658,267 $3,409,271 
Acquisitions and adjustments(1)
Acquisitions and adjustments(1)
197,173 79,905 
Acquisitions and adjustments(1)
113,502 197,173 
Currency translationCurrency translation(73,985)(16,588)Currency translation(2,448)(73,985)
Ending balance – September 30Ending balance – September 30$3,532,459 $3,101,623 Ending balance – September 30$3,769,321 $3,532,459 
(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 affectedeffected the measurement of the amounts recognized as of that date.
During the first quarter of 2022,2023, 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, 2022. Given the adverse economic and market conditions in the third quarter, 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 value over the carrying amount in the most recent impairment test, we determined it was not more likely than not that an impairment existed as of September 30, 2022.2023. No other events or circumstances changed during the nine months ended September 30, 20222023 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 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 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)September 30,
2022
Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
(in thousands)September 30,
2023
Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
AssetsAssetsAssets
Cash equivalentsCash equivalents$232,538 $232,538 $ $ Cash equivalents$108,503 $108,503 $ $ 
Short-term investmentsShort-term investments$194 $ $194 $ Short-term investments$171 $ $171 $ 
Deferred compensation plan investmentsDeferred compensation plan investments$1,599 $1,599 $ $ Deferred compensation plan investments$2,302 $2,302 $ $ 
Equity securitiesEquity securities$1,309 $1,309 $ $ Equity securities$761 $761 $ $ 
 Fair Value Measurements at Reporting Date Using:  Fair Value Measurements at Reporting Date Using:
(in thousands)(in thousands)December 31, 2021Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
(in thousands)December 31, 2022Quoted Prices in
Active Markets
(Level 1)
Significant Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
AssetsAssetsAssets
Cash equivalentsCash equivalents$87,620 $87,620 $— $— Cash equivalents$110,658 $110,658 $— $— 
Short-term investmentsShort-term investments$361 $— $361 $— Short-term investments$183 $— $183 $— 
Deferred compensation plan investmentsDeferred compensation plan investments$1,602 $1,602 $— $— Deferred compensation plan investments$1,618 $1,618 $— $— 
Equity securitiesEquity securities$2,500 $2,500 $— $— Equity securities$892 $892 $— $— 

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. 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.
The equity securities represent our investment in a publicly traded company. These securities are traded in an active market with quoted prices. As a result, the securities are classified as Level 1 in the fair value hierarchy. The securities are recorded within other long-term assets on our condensed consolidated balance sheets.
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9.Leases
Our right-of-use assets and lease 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 lease liability as renewal is not reasonably certain. In addition, we are reasonably certain we will not terminate the lease agreement.liability. 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.
The components of our global lease cost reflected in the condensed consolidated statements of income are as follows:
Three Months EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands)(in thousands)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Lease liability costLease liability cost$6,960 $7,139 $20,886 $21,278 Lease liability cost$7,097 $6,960 $21,207 $20,886 
Variable lease cost not included in the lease liability(1)
Variable lease cost not included in the lease liability(1)
1,015 1,017 3,202 3,203 
Variable lease cost not included in the lease liability(1)
1,523 1,015 4,134 3,202 
Total lease cost Total lease cost$7,975 $8,156 $24,088 $24,481  Total lease cost$8,620 $7,975 $25,341 $24,088 
(1) Variable lease cost includes common area maintenance, property taxes, utilities and fluctuations in rent due to a change in an index or rate.
Other information related to operating leases is as follows:
Three Months EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands)(in thousands)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Cash paid for amounts included in the measurement of the lease liability:Cash paid for amounts included in the measurement of the lease liability:Cash paid for amounts included in the measurement of the lease liability:
Operating cash flows from operating leases Operating cash flows from operating leases$(6,720)$(7,217)$(20,309)$(21,183) Operating cash flows from operating leases$(7,288)$(6,720)$(20,993)$(20,309)
Right-of-use assets obtained in exchange for new operating lease liabilitiesRight-of-use assets obtained in exchange for new operating lease liabilities8,131 1,301 $28,806 $6,895 Right-of-use assets obtained in exchange for new operating lease liabilities$2,192 $8,131 $7,508 $28,806 
As of September 30,As of September 30,
2022202120232022
Weighted-average remaining lease term of operating leasesWeighted-average remaining lease term of operating leases7.3 years6.7 yearsWeighted-average remaining lease term of operating leases6.5 years7.3 years
Weighted-average discount rate of operating leasesWeighted-average discount rate of operating leases3.2 %3.0 %Weighted-average discount rate of operating leases3.4 %3.2 %

The maturity schedule of the operating lease liabilities as of September 30, 20222023 is as follows:
(in thousands)(in thousands) (in thousands) 
Remainder of 2022$6,241 
202323,009 
Remainder of 2023Remainder of 2023$7,097 
2024202420,857 202425,268 
2025202518,907 202521,558 
2026202617,436 202619,446 
2027202718,038 
ThereafterThereafter59,040 Thereafter45,236 
Total future lease payments Total future lease payments145,490  Total future lease payments136,643 
Less: Present value adjustmentLess: Present value adjustment(15,928)Less: Present value adjustment(13,930)
Present value of future lease payments(1)
Present value of future lease payments(1)
$129,562 
Present value of future lease payments(1)
$122,713 
(1) Includes the current portion of operating lease liabilities of $19.9$22.6 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 September 30, 2022.2023.
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10.Debt
On June 30, 2022, we entered into a credit agreement (2022(as amended, the 2022 Credit Agreement) with PNC Bank, National Association, as administrative agent, swing line lender, and an L/C issuer, the lenders party thereto, and the other L/C issuers party thereto. The 2022 Credit Agreement refinanced our previous credit agreements in their entirety. Terms used in this description of the 2022 Credit Agreement with initial capital letters that are not otherwise defined herein are as defined in the 2022 Credit Agreement.
The term loan facility was advanced by the lenders thereunder to refinance and replace our (i) Credit Agreement, dated as of February 22, 2019, as amended, among us, as borrower, Bank of America, N.A., as administrative agent, swing line lender and an L/C issuer, the lenders party thereto, and the other L/C issuers party thereto and (ii) Credit Agreement, dated as of November 9, 2020, among us, as borrower, Bank of America, N.A., as administrative agent, and the lenders party thereto (together, the “Prior Credit Agreements”).
The 2022 Credit Agreement provides for a $755.0 million unsecured term loan facility and a $500.0 million unsecured revolving loan facility, which includes a $50.0 million sublimit for the issuance of letters of credit. The revolving loan facility is available for working capital and general corporate purposes. Each of the term loan facility and the revolving loan facility matures on June 30, 2027.
Borrowings under the term loan and revolving loan facilities accrue interest at a rate that is based on the Term SOFR plus an applicable margin or at the base rate plus an applicable margin, at our election. The base rate is the highest of (i) the Overnight Bank Funding Rate, plus 0.500%, (ii) the PNC Bank, National Association prime rate, and (iii) Daily Simple SOFR plus an adjustment for SOFR plus 1.00%. The applicable margin for the borrowings is a percentage per annum based on the lower of (1) a pricing level determined by our then-current consolidated net leverage ratio and (2) a pricing level determined by our public debt rating (if available).
On September 29, 2023, the 2022 Credit Agreement was amended to provide for an interest rate adjustment (Sustainability Rate Adjustment) based upon the achievement of certain environmental, social and governance key performance indicators (KPIs). The Sustainability Rate Adjustment range is +/- 0.05% and will go into effect in the first quarter of 2024 based on the 2023 KPIs and will be adjusted annually based on the KPIs of the preceding year.

The 2022 Credit Agreement also provides for the option to add certain foreign subsidiaries as borrowers and to borrow in Euros, Sterling, Yen and Swiss Francs under the revolving loan facility, up to a sublimit of $150.0 million. Borrowings under the revolving loan facility denominated in these currencies will accrue interest at a rate that is based on (a) for Euros, €STR, (b) for Sterling, SONIA, (c) for Yen, TONAR and (d) for Swiss Francs, SARON, plus an applicable margin calculated as described above.
Under the 2022 Credit Agreement, the weighted average interest rate in effect during the three months ended September 30, 2022 was 3.05%. Under the 2022 Credit Agreement and Prior Credit Agreements, the weighted average interest rate in effect during nine months ended September 30, 2022 was 2.11%.Under the Prior Credit Agreements, the weighted average interest rate in effect duringfor the three and nine months ended September 30, 20212023 was 1.33%6.22% and 1.41%5.89%, respectivelyrespectively. . TheUnder the prior credit agreements and the 2022 Credit Agreement, the weighted average interest rate in effect for the three and nine months ended September 30, 2022 was 3.05% and 2.11%, respectively. The rate in effect as of September 30, 2023 and for the fourth quarter of 2023 under the 2022 Credit Agreement is 4.53%6.37%.
The 2022 Credit Agreement contains customary representations and warranties, affirmative and negative covenants and events of default. The 2022 Credit Agreement also contains a financial covenant requiring us and our subsidiaries to maintain a consolidated net leverage ratio not in excess of 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 net 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 September 30, 2022,2023, we had $755.0 million of borrowings outstanding under the term loan, with a carrying value of $753.5$753.8 million, which is net of $1.5 $1.2 million of unamortized debt discounts and issuance costs. The total amount was included in long-term debt. As of September 30, 2022, 2023, no borrowings were outstanding under the revolving loan facility.
As of December 31, 2021,2022, we had $755.0 million of borrowings outstanding under the Prior Credit Agreements,term loan, with a carrying value of $753.6 million, which is net of $1.4 million of unamortized debt discounts and issuance costs. The total amount was included in long-term debt. As of December 31, 2021,2022, no borrowings were outstanding under the revolving loan facility.
We were in compliance with all covenants under the 2022 Credit Agreement and the Prior Credit Agreements as of September 30, 20222023 and December 31, 2021, respectively.

2022.
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11.Income Taxes
Our income before income tax provision, income tax provision and effective tax rates were as follows:
Three Months EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands, except percentages)(in thousands, except percentages)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands, except percentages)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Income before income tax provisionIncome before income tax provision$117,981 $103,898 $318,904 $280,381 Income before income tax provision$62,545 $117,981 $267,366 $318,904 
Income tax provisionIncome tax provision22,006 18,556 $53,141 $28,925 Income tax provision$7,043 $22,006 $41,716 $53,141 
Effective tax rateEffective tax rate18.7 %17.9 %16.7 %10.3 %Effective tax rate11.3 %18.7 %15.6 %16.7 %

The increase in the effective tax rate from the prior year was primarily due to decreased benefits related to stock-based compensation.
Tax expense for the nine months ended September 30, 2022 and 2021 benefited from deductions related to stock-based compensation, many of which were recognized discretely. These benefits were partially offset by non-deductible compensation.
12.Stock Repurchase Program
Under our stock repurchase program, we repurchased shares as follows:
Nine Months EndedNine Months Ended
(in thousands, except per share data)(in thousands, except per share data)September 30,
2022
September 30,
2021
(in thousands, except per share data)September 30,
2023
September 30,
2022
Number of shares repurchasedNumber of shares repurchased50097 Number of shares repurchased650500 
Average price paid per shareAverage price paid per share$311.14 $371.83 Average price paid per share$302.34 $311.14 
Total costTotal cost$155,571 $35,993 Total cost$196,494 $155,571 

All of the shares repurchased during the nine months ended September 30, 20222023 were repurchased during the first quarter. As of September 30, 2022, 2.02023, 1.1 million shares remained available for repurchase under the program. Average price paid per share excludes excise tax. As of January 1, 2023, our share repurchases in excess of issuances are subject to a 1% excise tax enacted by the Inflation Reduction Act. Any excise tax incurred is recognized and reflected as part of the cost basis of the shares acquired in the Condensed Consolidated Statements of Stockholders' Equity.
13.Stock-Based Compensation
On May 12, 2022, our stockholders approved the ANSYS, Inc. 2022 Employee Stock Purchase Plan (2022 ESPP) and the reservation by our board of directors of 750,000 shares of common stock for issuance under the 2022 ESPP. The 2022 ESPP allows our employees and employees of our designated subsidiaries to purchase shares of our common stock at a discount to fair market value of 10% in accordance with the terms and conditions of the 2022 ESPP.
Total stock-based compensation expense and its net impact on basic and diluted earnings per share are as follows:
 Three Months EndedNine Months Ended
(in thousands, except per share data)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
Cost of sales:
Maintenance and service$2,621 $2,753 $7,448 $9,834 
Operating expenses:
Selling, general and administrative27,077 25,420 67,117 66,158 
Research and development17,272 15,971 47,554 46,156 
Stock-based compensation expense before taxes46,970 44,144 122,119 122,148 
Related income tax benefits(9,984)(10,743)(42,037)(62,151)
Stock-based compensation expense, net of taxes$36,986 $33,401��$80,082 $59,997 
Net impact on earnings per share:
Basic earnings per share$(0.42)$(0.38)$(0.92)$(0.69)
Diluted earnings per share$(0.42)$(0.38)$(0.92)$(0.68)

 Three Months EndedNine Months Ended
(in thousands, except per share data)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
Cost of sales:
Maintenance and service$3,568 $2,621 $9,924 $7,448 
Operating expenses:
Selling, general and administrative32,907 27,077 89,006 67,117 
Research and development21,586 17,272 59,603 47,554 
Stock-based compensation expense before taxes58,061 46,970 158,533 122,119 
Related income tax benefits(12,993)(9,984)(41,848)(42,037)
Stock-based compensation expense, net of taxes$45,068 $36,986 $116,685 $80,082 
Net impact on earnings per share:
Basic earnings per share$(0.52)$(0.42)$(1.34)$(0.92)
Diluted earnings per share$(0.52)$(0.42)$(1.34)$(0.92)

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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 EndedNine Months Ended Three Months EndedNine Months Ended
(in thousands)(in thousands)September 30,
2022
September 30,
2021
September 30,
2022
September 30,
2021
(in thousands)September 30,
2023
September 30,
2022
September 30,
2023
September 30,
2022
United StatesUnited States$201,263 $208,998 $586,063 $570,101 United States$204,824 $201,263 $661,953 $586,063 
JapanJapan38,586 45,298 133,562 147,511 Japan40,956 38,586 141,770 133,562 
GermanyGermany48,115 27,826 111,888 89,781 Germany37,901 48,115 117,240 111,888 
ChinaChina19,548 28,265 91,128 83,924 
South KoreaSouth Korea49,581 22,364 104,950 67,853 South Korea27,928 49,581 75,868 104,950 
China26,474 26,677 76,412 62,934 
Other Europe, Middle East and Africa (EMEA)Other Europe, Middle East and Africa (EMEA)72,058 73,806 236,250 220,083 Other Europe, Middle East and Africa (EMEA)83,719 72,058 251,696 236,250 
Other internationalOther international36,434 36,199 122,313 92,785 Other international43,919 34,643 125,186 114,801 
Total revenueTotal revenue$472,511 $441,168 $1,371,438 $1,251,048 Total revenue$458,795 $472,511 $1,464,841 $1,371,438 

Property and equipment by geographic area is as follows:
(in thousands)(in thousands)September 30,
2022
December 31,
2021
(in thousands)September 30,
2023
December 31,
2022
United StatesUnited States$58,734 $62,880 United States$55,589 $58,258 
IndiaIndia5,219 6,144 India5,244 5,978 
Germany2,564 4,434 
Other EMEA7,031 9,215 
EMEAEMEA10,063 11,043 
Other internationalOther international4,200 5,241 Other international4,535 5,559 
Total property and equipment, netTotal property and equipment, net$77,748 $87,914 Total property and equipment, net$75,431 $80,838 

15.Contingencies and Commitments
We are subject to various claims, investigations, and legal and regulatory proceedings that arise in the ordinary course of business, including, but not limited to, commercial disputes, labor and employment matters, tax audits, alleged infringement of third parties' 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 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 consolidated 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 $7.0$7.1 million. As such charges are not probable at this time, a reserve has not been recorded on the condensed consolidated balance sheet as of September 30, 2022.2023. 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, however, an unfavorable ruling in the Microsoft case may impact our assessment of probability and result in the recording of a $7.0$7.1 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, by third parties, of infringement or misappropriation of their intellectual property rights 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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16.Subsequent Event
In November 2022, we had a $70.0 million cash outflow (net of cash acquired) associated with a strategic acquisition. The acquisition was funded with our existing cash balance. Due to the limited time since the acquisition date, the initial accounting for the business combination is incomplete. As a result, we are unable to provide the amount recognized as of the acquisition date for the major classes of assets acquired and liabilities assumed. The preliminary allocation of purchase price will be included in our Annual Report on Form 10-K for the year ended December 31, 2022. We do not expect the operation to contribute meaningfully to our financial results.

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Item 2.Management's Discussion and Analysis of Financial Condition and Results of Operations
The following discussion and analysis should be read in conjunction with the accompanying unaudited condensed consolidated financial statements and notes thereto for the nine months ended September 30, 2022,2023, and with our audited consolidated financial statements and notes thereto for the year ended December 31, 20212022 included in the 20212022 Form 10-K filed with the Securities and Exchange Commission (SEC). 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:Business
Ansys, a 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 high-tech, aerospace and defense, automotive, energy, industrial equipment, materials and chemicals, consumer products, healthcare and construction. Headquartered south of Pittsburgh, Pennsylvania, we employed 5,5006,100 and 5,600 people as of September 30, 2022.2023 and December 31, 2022, respectively. We focus on the development of open and flexible solutions that enable users to analyze designs directly on the desktopon-premises and/or via the cloud, providing a common platform for fast, efficient and cost-conscious product development, from design concept to final-stage testing, validation and validation.deployment. 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). It is our intention to continue to maintain this hybrid sales and distribution model. We operate and report as one segment.
When visionary companies need to know how their world-changing ideas will perform, they close the gap between design and reality using Ansys simulation. For more than 50 years, Ansys software has enabled innovators across industries to push the boundaries of product design by using the predictive power of simulation. From sustainable transportation and advanced satellite systems to life-saving medical devices, Ansys powers innovation that drives human advancement.
Our strategy of Pervasive Insights seeks to deepen the use of simulation in our core market, to inject simulation throughout the product lifecycle and to extend the accessibility to a broader set of users and use cases. Our business has three vectors of growth:
More products. Our broad and deep multiphysics portfolio enables us to grow with customers’ increasing adoptioncustomers as they use simulation to solve more complex problems across a broad set of simulation across broad sets of product development disciplines.industries.
More users. Investments in simulation education and user experience simplification has made simulation more accessible to a broader classes of simulation users.user base.
More computation. As customers' problems becomecomputations. Larger and more complex simulations increasedrive more computation, requiring customers to use more Ansys licenses to complete their simulations.
Through decades of investments in complexity which drives more computation.
We develop easy-to-usethe academic community and enhanced user experiences, our solutions that are intuitive for more than just engineers, allowing ushave become accessible and relevant beyond our core "engineering" end user, to reach more users upstream and downstream.downstream from our core, which is the product validation process. Our multiphysics solutions enable our customers to address increasingly complex R&Dresearch and development (R&D) challenges from the component through the system and mission level of analysis. Our products seamlessly enable access to high performance compute capacity on premiseto run simulations, on-premises or in the cloud, which means our customers' R&D teams are unencumbered by compute capacity limitations that can hinder R&D cycle times.
The engineering simulation software simulation market is strong and growing. The market growth is driven by customers' need for rapid, quality innovation in a cost efficient manner, enabling faster time to market offor new products and lower warranty costs. ProductIncreasing product complexity is driving sustained demand for simulations. Key industry trends fueling customers' increasing needs for simulation include:
Electrification, including electric vehicles;Electrification;
Autonomy, including self-driving vehicles;Autonomy;
Connectivity;
Industrial InternetThe industrial internet of Things;things; and
Sustainability, including minimizing waste and physical prototyping, and improving circularity and development time.

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We have been investing and will be continuingintend to continue to invest in our portfolio to broaden the range of physics and enable customers to analyze the interactions among physics at the component, system and mission level. Our strategy of Pervasive Insights is aligned with the near-term market growth opportunities and is laying the foundation for a future where simulation can be further democratized to ever broader classes of end users and end-use cases.
To further supportaugment our strategy of Pervasive Insights,organic development roadmaps, we willintend to continue to pursue a highly selectiveour strategic and strategicdisciplined acquisition strategy to grow our business. We will alsoOur strategy is to partner with industry leaders to broaden pervasiveextend simulation into other ecosystems and customer R&D workflows. Importantly, we will continue to win in the right way,Our business is built on a culture of high ethical standards and commitment to diversity, equity, inclusion and belonging.
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We license our technology to businesses in a diverse set of industries, educational institutions and governmental agencies. We believe that the features, functionality and integrated multiphysics capabilities of our software products are as strong as they have ever been. However, theThe software business is generally characterized by long sales cycles. These long sales cycles which 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. As a result, we believe that our overall performance is best measured by fiscal year results rather than by quarterly results.
Management addresses
We address the competition and price pressure that it faceswe face 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 increasing the capabilities of our existing products; maintaining a diverse industry footprint and focusing on customer needs, training, consulting and support; and enhancing our distribution channels. We also evaluate and execute strategic acquisitions to supplement our global engineering talent, product offerings and distribution channels.

Overview:
Overall GAAP and Non-GAAP Results
This section includes a discussion of GAAP and non-GAAP results. For reconciliations of non-GAAP results to GAAP results, see the section titled "Non-GAAP Results" herein.
The 2023 period non-GAAP results exclude the income statement effects of the acquisition accounting adjustments to deferred revenue from business combinations closed prior to 2022, stock-based compensation, excess payroll taxes related to stock-based compensation, amortization of acquired intangible assets, expenses related to business combinations and adjustments for the income tax effect of the excluded items. The 2022 period non-GAAP results also exclude the income statement effects of acquisition accounting adjustments to deferred revenue from business combinations closed prior to 2022. There is no adjustment in 2023 as the impact is not material.
Our GAAP and non-GAAP results for the three and nine months ended September 30, 2023 as compared to the three and nine months ended September 30, 2022 reflected the following variances:
Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
GAAPNon-GAAPGAAPNon-GAAP
Revenue(2.9)%(3.1)%6.8 %6.3 %
Operating income(43.4)%(19.5)%(11.9)%0.6 %
Diluted earnings per share(41.8)%(20.3)%(15.1)%(1.0)%
Our results reflect a decline in revenue during the three months ended September 30, 2023 due to reductions in subscription lease license and perpetual license revenue, partially offset by an increase in maintenance revenue. Our results reflect an increase in revenue during the nine months ended September 30, 2023 due to growth in maintenance and subscription lease license revenue, partially offset by a decline in perpetual license revenue. We also experienced increased operating expenses during the three and nine months ended September 30, 2023, primarily due to increased personnel costs.


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In the context of broader U.S. foreign policy shifts, the U.S. Department of Commerce is continuing to apply controls to the export to China of certain technologies. Ansys maintains a robust global compliance program. Compliance and cooperation with the U.S. government’s evolving requirements are paramount to Ansys. Ansys has and will continue to align our internal processes to comply with U.S. export laws and regulations and any changes to those laws and regulations. During the third quarter, the U.S. Department of Commerce informed Ansys of additional restrictions on sales to certain Chinese entities, and incremental approval processes and export restrictions on the sale of certain Ansys products and services to entities performing research & development and certain controlled activities in China. The incremental export restrictions and processes took effect during the third quarter and initially included a broad export license requirement for certain China sales, which was later replaced by an enhanced Ansys screening process that was approved by the U.S. Department of Commerce’s Bureau of Industry and Security (BIS) on the final business day of the quarter. The new restrictions and processes have led to an elongated transaction cycle with certain prospects, which, in turn, is expected to lead to a delay in certain fourth quarter transactions and in some situations, could result in a loss of business. Ansys will continue to work collaboratively with the U.S. Department of Commerce to adhere to the new requirements, and we have internally aligned our business operations to adjust to these requirements. The requirements negatively impacted revenue and annual contract value (ACV) by $20.0 million in the current quarter and we expect a headwind for fiscal year 2023 of $25.0 million.
The third quarter's operating results also reflect a structural timing dynamic in the renewal base this quarter in which fewer lease contracts were up for renewal, resulting in comparatively lower up-front lease license revenue recognition. Quarterly dynamics may not be representative of the momentum in our business given the shifting mix of license types and renewal cycles that can be volatile quarter to quarter. While this timing dynamic leads to revenue volatility, it does not represent changes in customers' software usage or cash flows. This further highlights the importance of measuring our results based on our fiscal year rather than individual quarters.
This section also includes a discussion of constant currency results, which we use for financial and operational decision-making and as a means to evaluate period-to-period comparisons by excluding the effects of foreign currency fluctuations on the reported results. All constant currency results presented in this Item 2 exclude the effects of foreign currency fluctuations on the reported results. To present this information, the 20222023 period 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 20212022 comparable period, rather than the actual exchange rates in effect for 2022.the 2023 period. Constant currency growth rates are calculated by adjusting the 20222023 period reported revenue and operating income amounts by the 20222023 period currency fluctuation impacts and comparing to the 20212022 comparable period reported revenue and operating income amounts.
Our GAAP and non-GAAP results for the three and nine months ended September 30, 2022 as compared to the three and nine months ended September 30, 2021 reflected the following variances:
Three Months Ended September 30, 2022Nine Months Ended September 30, 2022
GAAPNon-GAAPGAAPNon-GAAP
Revenue7.1 %6.3 %9.6 %8.5 %
Operating income14.6 %9.7 %21.2 %9.4 %
Diluted earnings per share13.4 %11.3 %6.3 %7.5 %
Our results reflect an increase in revenue during the three and nine months ended September 30, 2022 due to growth in subscription lease licenses and maintenance revenue, partially offset by a reduction in perpetual license revenue. We also experienced increased operating expenses during the three and nine months ended September 30, 2022, primarily due to increased personnel costs. The actual U.S. Dollar reported results were significantly impacted by a stronger U.S. Dollar.
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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 nine months ended September 30, 20222023 as compared to the three and nine months ended September 30, 2021.2022. The impacts on our GAAP and non-GAAP revenue and operating income as a result of the fluctuations of the U.S. Dollar when measured against our foreign currencies based on 20212022 period exchange rates are reflected in the table below. Amounts in brackets indicate an adverse impact from currency fluctuations.
Three Months Ended September 30, 2022Nine Months Ended September 30, 2022Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
(in thousands)(in thousands)GAAPNon-GAAPGAAPNon-GAAP(in thousands)GAAPNon-GAAPGAAPNon-GAAP
RevenueRevenue$(38,237)$(38,293)$(78,347)$(78,560)Revenue$6,163 $6,163 $(11,180)$(11,180)
Operating incomeOperating income$(23,146)$(24,003)$(44,986)$(47,151)Operating income$2,505 $2,990 $(3,138)$(3,041)

In constant currency, our growth wasvariances were as follows:
Three Months Ended September 30, 2022Nine Months Ended September 30, 2022Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
GAAPNon-GAAPGAAPNon-GAAPGAAPNon-GAAPGAAPNon-GAAP
RevenueRevenue15.8 %14.9 %15.9 %14.7 %Revenue(4.2)%(4.4)%7.6 %7.1 %
Operating incomeOperating income36.1 %23.2 %37.6 %19.0 %Operating income(45.4)%(21.0)%(10.9)%1.2 %


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Other Key Business Metric
Annual Contract Value (ACV)
ACV is one of oura key performance metricsmetric and is useful to investors in assessing the strength and trajectory of our business. Given that revenueACV is more volatile due to the upfront revenue recognition of perpetual licenses and multi-year subscription lease license sales, we provide ACV as a supplemental metric to help evaluate the annual performance of the business. Summed overOver the long term,life of the contract, ACV andequals the total value realized from a customer. ACV is not impacted by the timing of license revenue are equal. However, there will be years in whichrecognition. 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 is not a replacement for, and should be viewed independently of, GAAP 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 subscription 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
When we refer to the anniversary dates in the definition of ACV above, we are referencing the date of the beginning of the next twelve-month period in a contractually committed multi-year contract. If a contract is three years in duration, with a start date of July 1, 2023, the anniversary dates would be July 1, 2024 and July 1, 2025. We label these anniversary dates as they are contractually committed. While this contract would be up for renewal on July 1, 2026, our ACV performance metric does not assume any contract renewals.

Example 1: For purposes of calculating ACV, a $100,000 subscription lease contract or a $100,000 maintenance contract with a term of July 1, 2023 – June 30, 2024, would each contribute $100,000 to ACV for fiscal year 2023 with no contribution to ACV for fiscal year 2024.

Example 2: For purposes of calculating ACV, a $300,000 subscription lease contract or a $300,000 maintenance contract with a term of July 1, 2023 – June 30, 2026, would each contribute $100,000 to ACV in each of fiscal years 2023, 2024 and 2025. There would be no contribution to ACV for fiscal year 2026 as each period captures the full annual value upon the anniversary date.

Example 3: A perpetual license valued at $200,000 with a contract start date of March 1, 2023 would contribute $200,000 to ACV in fiscal year 2023.
During the three and nine months ended September 30, 2023 and 2022 our ACV was as follows:
Three Months Ended September 30, Three Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021Change(in thousands, except percentages)20232022Change
ActualConstant CurrencyActualActualConstant
Currency
ActualConstant CurrencyActualActualConstant
Currency
AmountAmount%Amount%AmountAmount%Amount%
ACVACV$409,317 $439,341 $365,444 $43,873 12.0 $73,897 20.2 ACV$457,549 $451,779 $409,317 $48,232 11.8 $42,462 10.4 
Nine Months Ended September 30, Nine Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021Change(in thousands, except percentages)20232022Change
ActualConstant CurrencyActualActualConstant
Currency
ActualConstant CurrencyActualActualConstant
Currency
AmountAmount%Amount%AmountAmount%Amount%
ACVACV$1,213,735 $1,280,355 $1,115,365 $98,370 8.8 $164,990 14.8 ACV$1,345,305 $1,355,529 $1,213,735 $131,570 10.8 $141,794 11.7 

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Our trailing twelve-month recurring ACV, converted from the functional currency to U.S. Dollars at the 20212022 period monthly average exchange rates, was as follows:
Twelve Months Ended September 30,Change Twelve Months Ended September 30,Change
(in thousands, except percentages)(in thousands, except percentages)20222021Amount%(in thousands, except percentages)20232022Amount%
Recurring ACV at 2021 monthly average exchange rates$1,642,325 $1,420,800 $221,525 15.6 
Recurring ACV at 2022 monthly average exchange ratesRecurring ACV at 2022 monthly average exchange rates$1,804,517 $1,560,140 $244,377 15.7 
Recurring ACV includes both subscription lease license and maintenance ACV and excludes perpetual license and service ACV.

Industry Commentary:
High-tech, aerospace & defense, and automotive remained strong as digital transformation efforts increased the use cases and users of simulation, driving demand for solutions across our portfolio. The predictive accuracy of our multiphysics solutions has been key to our growth in high-tech as our customers seek to understand the interaction of thermal, mechanical and electronic stresses exacerbated by increasing product complexity. Customer focus on digital transformation and model-based engineering initiatives remains a driver of our growth in aerospace & defense. Automotive companies continue to reorient themselves around virtual product development and electrification, supporting our growth in the industry. The healthcare industry also had strong growth as weWe continue to see companies matureour customers expand their digital engineering effortscapabilities in support of digital transformation endeavors. Competitive pressures to reduce costs and shorten design cycles remain steady drivers of demand for our solutions. During the third quarter, our high-tech customers continued to invest in our simulation solutions to deliver more advanced chips, enhanced 5G and 6G technology, and next-generation automotive components. Within the aerospace and defense (A&D) industry, digital transformation remains a high-level priority for customers as they expand engineering staffbolster defense and Digital Twin/Digital Engineering initiativesspace programs. Our value proposition also remains attractive to automotive companies as major automotive companies seek to reduce product development costs, particularly for electric vehicles. Traditional original equipment manufacturers and suppliers continued to invest in areas such as surgerysimulation to drive electrification, advanced driver assistance systems, safety, and implantable devices.cybersecurity innovation. Additionally, electrification remains a key priority and investment driver among our industrial equipment customer base.
Geographic Trends:
The following tables presenttable presents our GAAP and non-GAAP geographic revenue variances using actual and constant currency rates during the three and nine months ended September 30, 20222023 as compared to the three and nine months ended September 30, 2021:2022:

GAAPGAAP
Three Months Ended September 30, 2022Nine Months Ended September 30, 2022Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
ActualConstant CurrencyActualConstant CurrencyActualConstant CurrencyActualConstant Currency
AmericasAmericas(4.9)%(4.7)%2.4 %2.5 %Americas4.2 %4.2 %14.0 %14.1 %
EMEAEMEA18.2 %36.2 %12.4 %24.2 %EMEA1.2 %(5.2)%6.0 %4.8 %
Asia-PacificAsia-Pacific19.7 %36.1 %19.7 %31.5 %Asia-Pacific(16.8)%(15.6)%(3.1)%0.5 %
TotalTotal7.1 %15.8 %9.6 %15.9 %Total(2.9)%(4.2)%6.8 %7.6 %
Non-GAAPNon-GAAP
Three Months Ended September 30, 2022Nine Months Ended September 30, 2022Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
ActualConstant CurrencyActualConstant CurrencyActualConstant CurrencyActualConstant Currency
AmericasAmericas(6.0)%(5.8)%0.2 %0.3 %Americas4.0 %3.9 %13.4 %13.5 %
EMEAEMEA18.1 %36.0 %12.5 %24.3 %EMEA1.0 %(5.4)%5.5 %4.2 %
Asia-PacificAsia-Pacific19.4 %35.7 %19.6 %31.4 %Asia-Pacific(17.0)%(15.9)%(3.6)%— %
TotalTotal6.3 %14.9 %8.5 %14.7 %Total(3.1)%(4.4)%6.3 %7.1 %
The value and duration of multi-year subscription lease contracts executed during the period significantly impact the recognition of revenue. As a result, revenue may fluctuate, significantly, particularly on a quarterly basis, due to the timing of such contracts, relative differences in duration of long-term contracts from quarter to quarter and changes in the mix of license types sold compared to the prior year. Large swings in revenue growth rates are not necessarily indicative of customers' software usage changes or cash flows during the periods presented.

To drive growth, we continue to focus on a number of sales improvement activities across our geographic regions, including sales hiring, pipeline building, customer engagement activities, productivity initiatives and sales hiring.
During the nine months ended September 30, 2022, trade restrictions limited our ability to deliver products and services to customers in Russia and Belarus and certain entities in China. For context, the combined 2021 revenue for all customers in Russia and Belarus was $15.1 million, less than 1% of our total 2021 revenue.customer engagement activities.
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On October 7, 2022, the U.S. Department of Commerce, Bureau of Industry and Security announced new restrictions targeting the sales of semiconductor products into China. We expect the impact of those restrictions to be immaterial on our business. As a reference, our semiconductor business in China over the last twelve months represented less than 1% of our consolidated revenue and China's total contribution to revenue for the same period was 4.7%.

Additional restrictions or a further deterioration in the global trade environment could have a material adverse impact on our business, results of operations or financial condition. Refer to additional details in Part II, Item 1A herein, Part I, "Item 1A. Risk Factors" in our 2021 Form 10-K and Part II, Item 1A of our Quarterly Report on Form 10-Q for the quarterly period ended March 31, 2022 for a discussion of additional business risks, including those associated with the conflict between Russia and Ukraine.
Use of Estimates:
The preparation of our 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 contract revenue, standalone selling prices of our products and services, allowance for doubtful accounts receivable, valuation of goodwill and other intangible assets, useful lives for depreciation and amortization, acquired deferred revenue, operating lease assets and liabilities, fair values of stock awards, deferred compensation, income taxes, uncertain tax positions, tax valuation reserves, 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.

Forward-Looking Information:Information
This Quarterly Report on Form 10-Q contains forward-looking statements within the meaning of Section 27A of the Private Securities Litigation Reform Act of 1995.1933 and Section 21E of the Securities Exchange Act of 1934 (the Exchange Act). Forward-looking statements are statements that provide current expectations or forecasts of future events based on certain assumptions. Forward-looking statements are subject to risks, uncertainties, and factors relating to our business which could cause our actual results to differ materially from the expectations expressed in or implied by such forward-looking statements.
Forward-looking statements use words such as "anticipate," "believe," "could," "estimate," "expect," "forecast," "intend," "likely," "may," "outlook," "plan," "predict," "project," "should," "target," or other words of similar meaning. Forward-looking statements include those about market opportunity, including our total addressable market. We caution readers not to place undue reliance upon any such forward-looking statements, which speak only as of the date they are made. We undertake no obligation to update forward-looking statements, whether as a result of new information, future events or otherwise.
The risks associated with the following, among others, could cause actual results to differ materially from those described in any forward-looking statements:

adverse conditions in the macroeconomic environment, including high inflation, recessionary conditions and volatility in equity and foreign exchange markets; political, economic and regulatory uncertainties in the countries and regions in which we operate (including as a result of the conflict between Russia and Ukraine);

our ability to timely recruit and retain key personnel in a highly competitive labor market for skilled personnel, including potential financial impacts of wage inflation;operate;

impacts from tariffs, trade sanctions, export controls or other trade barriers, including export control restrictions and licensing requirements for exports to China,China;

impacts resulting from the conflict between Israel and Hamas, including impacts from changes to diplomatic relations and trade policy between the United States and other countries resulting from the conflict; impacts from changes to diplomatic relations and trade policy between the United States and Russia or the United States and other countries that may support Russia or take similar actions due to the conflict between Russia and Ukraine;

constrained credit and liquidity due to disruptions in the global economy and financial markets, which may limit or delay availability of credit under our existing or new credit facilities, or which may limit our ability to obtain credit or financing on acceptable terms or at all;

currentour ability to timely recruit and retain key personnel in a highly competitive labor market for skilled personnel, including potential futurefinancial impacts of a global health crisis, natural disaster or catastrophe, including the COVID-19 pandemic and actions taken to address the pandemic by our customers, suppliers, regulatory authorities, and our business, on the global economy and our business and consolidated financial statements, and other public health and safety risks; and government actions or mandates surrounding the COVID-19 pandemic;wage inflation;

declines in our customers’ businesses resulting in adverse changes in procurement patterns; disruptions in accounts receivable and cash flow due to customers’ liquidity challenges and commercial deterioration; uncertainties regarding
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demand for our products and services in the future and our customers’ acceptance of new products; delays or declines in anticipated sales due to reduced or altered sales and marketing interactions with customers; and potential variations in our sales forecast compared to actual sales;

increased volatility in our revenue due to the timing, duration and value of multi-year subscription lease contracts; and our reliance on high renewal rates for annual subscription lease and maintenance contracts;

our ability to protect our proprietary technology; cybersecurity threats or other security breaches, including in relation to breaches occurring through our products and an increased level of our activity that is occurring from remote global off-site locations; and disclosure and misuse of employee or customer data whether as a result of a cybersecurity incident or otherwise;

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our ability and our channel partners’ ability to comply with laws and regulations in relevant jurisdictions; and the outcome of contingencies, including legal proceedings, government or regulatory investigations and tax audit cases;

uncertainty regarding income tax estimates in the jurisdictions in which we operate; and the effect of changes in tax laws and regulations in the jurisdictions in which we operate;

the quality of our products, including the strength of features, functionality and integrated multiphysics capabilities; our ability to develop and market new products to address the industry’s rapidly changing technology; failures or errors in our products and services; and increased pricing pressure as a result of the competitive environment in which we operate;
investments in complementary companies, products, services and technologies; our ability to complete and successfully integrate our acquisitions and realize the financial and business benefits of the transactions; and the impact indebtedness incurred in connection with any acquisition could have on our operations;

investments in global sales and marketing organizations and global business infrastructure; and dependence on our channel partners for the distribution of our products;

current and potential future impacts of a global health crisis, natural disaster or catastrophe, and the actions taken to address these events by our customers, suppliers, regulatory authorities and our business, on the global economy and consolidated financial statements, and other public health and safety risks; and government actions or mandates;

operational disruptions generally or specifically in connection with transitions to and from remote work environments; and the failure of our technological infrastructure or those of the service providers upon whom we rely including for infrastructure and cloud services;

our ability and our channel partners’ ability to comply with laws and regulations in relevant jurisdictions; and the outcome of contingencies, including legal proceedings, government or regulatory investigations and service tax audit cases;

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;

plans for future capital spending; the extent of corporate benefits from such spending including with respect to customer relationship management; and higher than anticipated costs for research and development or a slowdown in our research and development activities;

uncertainty regarding income tax estimates in the jurisdictions in which we operate; and the effect of changes in tax laws and regulations in the jurisdictions in which we operate;

our ability to execute on our strategies related to environmental, social, and governance matters, and achieve relatedmeet evolving and varied expectations, including as a result of evolving regulatory and other standards, processes, and assumptions, the pace of scientific and technological developments, increased costs and the availability of requisite financing, and changes in carbon markets; and

other risks and uncertainties described in our reports filed from time to time with the SEC.
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Results of Operations
The results of operations discussed below are on a GAAP basis unless otherwise stated.
Three Months Ended September 30, 20222023 Compared to Three Months Ended September 30, 20212022
Revenue:
Three Months Ended September 30, Three Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021Change(in thousands, except percentages)20232022Change
GAAPConstant CurrencyGAAPGAAPConstant
Currency
GAAPConstant CurrencyGAAPGAAPConstant
Currency
AmountAmount%Amount%AmountAmount%Amount%
Revenue:Revenue:Revenue:
Subscription lease licensesSubscription lease licenses$136,489 $151,322 $120,516 $15,973 13.3 $30,806 25.6 Subscription lease licenses$103,573 $102,316 $136,489 $(32,916)(24.1)$(34,173)(25.0)
Perpetual licensesPerpetual licenses72,417 76,560 79,878 (7,461)(9.3)(3,318)(4.2)Perpetual licenses58,849 58,074 72,417 (13,568)(18.7)(14,343)(19.8)
Software licensesSoftware licenses208,906 227,882 200,394 8,512 4.2 27,488 13.7 Software licenses162,422 160,390 208,906 (46,484)(22.3)(48,516)(23.2)
MaintenanceMaintenance247,678 266,167 223,872 23,806 10.6 42,295 18.9 Maintenance278,108 274,284 247,678 30,430 12.3 26,606 10.7 
ServiceService15,927 16,699 16,902 (975)(5.8)(203)(1.2)Service18,265 17,958 15,927 2,338 14.7 2,031 12.8 
Maintenance and serviceMaintenance and service263,605 282,866 240,774 22,831 9.5 42,092 17.5 Maintenance and service296,373 292,242 263,605 32,768 12.4 28,637 10.9 
Total revenueTotal revenue$472,511 $510,748 $441,168 $31,343 7.1 $69,580 15.8 Total revenue$458,795 $452,632 $472,511 $(13,716)(2.9)$(19,879)(4.2)

Revenue for the quarter ended September 30, 2022 increased 7.1%2023 decreased 2.9% compared to the quarter ended September 30, 2021,2022, or 15.8%4.2% in constant currency. Our revenue was favorably impacted by our continued investmentThe reported $32.9 million decrease in our global sales, support and marketing organizations, and the timing and duration of our multi-year subscription lease contracts. Annual maintenance contracts that were sold with new perpetual licenses, maintenance contracts for new perpetual licenses sold in previous quarters, maintenance renewals and the maintenance portion of subscription lease license contracts collectively contributed to maintenance revenue growth of 10.6%, or 18.9% in constant currency. Subscription lease license revenue increased 13.3%, or 25.6%was attributable to a $35.6 million decrease in constant currency, as compared to the prior-year quarter.value from multi-year licenses, partially offset by a $2.7 million increase in value from annual licenses. Perpetual license revenue, which is derived from new sales during the quarter,three months ended September 30, 2023, decreased 9.3%18.7%, or 4.2%19.8% in constant currency, as compared to the prior-yearthree months ended September 30, 2022. Driving the decrease in perpetual license revenue was a 17.6% decrease in average deal size and a 1.1% decrease in the volume of deals. Multi-year lease license revenue and perpetual license revenue were negatively impacted in the current quarter primarily dueby $20.0 million related to customers' preference shifting to subscription lease licenses. Serviceincremental China export restrictions and enhanced approval processes. Maintenance revenue decreased 5.8%growth of 12.3%, or 1.2%10.7% in constant currency, as comparedis correlated with previous license sales and is driven substantially by our existing customer base. The reported $30.4 million growth in maintenance revenue was attributable to the prior-year quarter.a $28.9 million increase in maintenance associated with lease licenses and a $1.5 million increase in maintenance associated with perpetual sales.
We continue to experience increasedstrong demand from our customers for contracts that often include longer-term, subscription lease licensesleases involving a larger number of our software products. These arrangements typically involve a higher overall transaction price. The upfront recognition of license revenue related to these larger transactions can result in significant subscription lease license revenue volatility. Software products, across a large variety of applications and industries, are increasingly distributed in software-as-a-service, cloud and other subscription environments in which the licensing approach is time-based rather than perpetual. This preference could result in a shift from perpetual licenses to time-based licenses, such as subscription leases, over the long term.
With respect to revenue, on average for the quarter ended September 30, 2022,2023, the U.S. Dollar was 15.3% stronger,3.1% weaker, when measured against our foreign currencies, than for the quarter ended September 30, 2021.2022. The table below presents the net impacts of currency fluctuations on revenue for the quarter ended September 30, 2022.2023. Amounts in brackets indicate an adverse impact from currency fluctuations.
(in thousands)Three Months Ended September 30, 20222023
Euro$(15,924)7,315
Japanese Yen(9,724)
South Korean Won(8,633)765
British Pound(2,320)
Taiwan Dollar(546)(339)
Indian Rupee(661)(352)
Japanese Yen(1,757)
Other(429)531
        Total$(38,237)6,163

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As a percentage of revenue, our international and domestic revenues, and our direct and indirect revenues, were as follows:
Three Months Ended September 30,
20222021
International57.4 %52.6 %
Domestic42.6 %47.4 %
Direct74.8 %74.4 %
Indirect25.2 %25.6 %

In valuing deferred revenue on the balance sheets of our acquisitions that closed prior to 2022, 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 $1.2 million and $4.3 million for the quarters ended September 30, 2022 and 2021, respectively. The expected impacts on reported revenue are $0.5 million and $7.3 million for the quarter and the year ending December 31, 2022, respectively.
Three Months Ended September 30,
20232022
International55.4 %57.4 %
Domestic44.6 %42.6 %
Direct73.5 %74.8 %
Indirect26.5 %25.2 %
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 sheet does not represent the total value of annual or multi-year, noncancellable agreements. Our backlog represents deferred revenue associated with installment billings for periods beyond the current quarterly billing cycle and committed contracts with start dates beyond the end of the current period. Our deferred revenue and backlog as of September 30, 20222023 and December 31, 20212022 consisted of the following:
Balance at September 30, 2022Balance at September 30, 2023
(in thousands)(in thousands)TotalCurrentLong-Term(in thousands)TotalCurrentLong-Term
Deferred revenueDeferred revenue$354,718 $334,901 $19,817 Deferred revenue$370,433 $349,668 $20,765 
BacklogBacklog754,170 339,241 414,929 Backlog835,244 424,547 410,697 
TotalTotal$1,108,888 $674,142 $434,746 Total$1,205,677 $774,215 $431,462 
Balance at December 31, 2021Balance at December 31, 2022
(in thousands)(in thousands)TotalCurrentLong-Term(in thousands)TotalCurrentLong-Term
Deferred revenueDeferred revenue$412,781 $391,528 $21,253 Deferred revenue$435,758 $413,989 $21,769 
BacklogBacklog845,079 373,334 471,745 Backlog981,088 432,323 548,765 
TotalTotal$1,257,860 $764,862 $492,998 Total$1,416,846 $846,312 $570,534 

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 on both a GAAP and constant currency basis. 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.
Three Months Ended September 30, Three Months Ended September 30,
20222021Change20232022Change
GAAPConstant CurrencyGAAPGAAPConstant CurrencyGAAPConstant CurrencyGAAPGAAPConstant Currency
(in thousands,
except percentages)
(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%
Cost of sales:Cost of sales:Cost of sales:
Software
licenses
Software
licenses
$8,425 1.8 8,540 1.7 $8,289 1.9 $136 1.6 $251 3.0 Software
licenses
$8,692 1.9 $8,564 1.9 $8,425 1.8 $267 3.2 $139 1.6 
AmortizationAmortization17,281 3.7 17,762 3.5 15,189 3.4 2,092 13.8 2,573 16.9 Amortization20,707 4.5 20,442 4.5 17,281 3.7 3,426 19.8 3,161 18.3 
Maintenance
and service
Maintenance
and service
36,261 7.7 38,547 7.5 39,268 8.9 (3,007)(7.7)(721)(1.8)Maintenance
and service
35,858 7.8 35,485 7.8 36,261 7.7 (403)(1.1)(776)(2.1)
Total cost of
sales
Total cost of
sales
61,967 13.1 64,849 12.7 62,746 14.2 (779)(1.2)2,103 3.4 Total cost of
sales
65,257 14.2 64,491 14.2 61,967 13.1 3,290 5.3 2,524 4.1 
Gross profitGross profit$410,544 86.9 445,899 87.3 $378,422 85.8 $32,122 8.5 $67,477 17.8 Gross profit$393,538 85.8 $388,141 85.8 $410,544 86.9 $(17,006)(4.1)$(22,403)(5.5)

Amortization: The increase in amortization expense was primarily due to the amortization of newly acquired intangible assets.
Maintenance and Service: The net decrease in maintenance and service costs was primarily due to the following:
Decreased costs related to foreign exchange translation of $2.3 million due to a stronger U.S. Dollar.
Decreased salariesdriven by lower consulting and incentive compensation of $1.1 million.professional fees.
The improvementreduction in gross profit was a result of the increasedecrease in revenue and the decreaseincrease in the cost of sales.
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Three Months Ended September 30, Three Months Ended September 30,
20222021Change20232022Change
GAAPConstant CurrencyGAAPGAAPConstant CurrencyGAAPConstant CurrencyGAAPGAAPConstant Currency
(in thousands,
except percentages)
(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%
Operating expenses:Operating expenses:Operating expenses:
Selling, general and administrativeSelling, general and administrative$175,283 37.1 $183,682 36.0 $165,368 37.5 $9,915 6.0 $18,314 11.1 Selling, general and administrative$194,552 42.4 $193,092 42.7 $175,283 37.1 $19,269 11.0 $17,809 10.2 
Research and
development
Research and
development
108,056 22.9 111,575 21.8 102,023 23.1 6,033 5.9 9,552 9.4 Research and
development
123,223 26.9 122,003 27.0 108,056 22.9 15,167 14.0 13,947 12.9 
AmortizationAmortization3,821 0.8 4,112 0.8 3,403 0.8 418 12.3 709 20.8 Amortization5,947 1.3 5,735 1.3 3,821 0.8 2,126 55.6 1,914 50.1 
Total operating
expenses
Total operating
expenses
287,160 60.8 299,369 58.6 270,794 61.4 16,366 6.0 28,575 10.6 Total operating
expenses
323,722 70.6 320,830 70.9 287,160 60.8 36,562 12.7 33,670 11.7 
Operating incomeOperating income$123,384 26.1 $146,530 28.7 $107,628 24.4 $15,756 14.6 $38,902 36.1 Operating income$69,816 15.2 $67,311 14.9 $123,384 26.1 $(53,568)(43.4)$(56,073)(45.4)

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 $9.3$11.7 million.
Increased business travel of $3.8 million as in-person meetings and live attendance at trade events have continued to expand.
Increased stock-based compensation of $1.7$5.8 million.
Increased consulting and professional fees of $1.3 million.
Decreased costs related to foreign exchange translation of $8.4 million due to a stronger U.S. Dollar.
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 $5.6$10.1 million.
Increased stock-based compensation of $1.3$4.3 million.
Amortization:Increased business travel of $0.9 million as in-person meetings and live attendance at trade events have continued to expand.
Decreased costs related to foreign exchange translation of $3.5 million The increase in amortization expense was primarily due to a stronger U.S. Dollar.the amortization of newly acquired intangible assets.
We have traditionally invested significant resources in research and development activities and expect to continue to make investments in expanding the ease of use and capabilities of our broad portfolio of simulation software products.
The impacts from currency fluctuations resulted in decreasedincreased operating income of $23.1$2.5 million for the quarter ended September 30, 20222023 as compared to the quarter ended September 30, 2021.2022.
Interest Income: Interest income for the three months ended September 30, 20222023 was $1.3$4.9 million as compared to $0.5$1.3 million for the three months ended September 30, 2021. The2022. Interest income increased as a result of a higher interest rate environment and the related increase in the average rate of return on invested cash balances was partially offset by the lower invested cash balance, as a result of investments in acquisitions and share repurchases.balances.
Interest Expense: Interest expense for the quarter ended September 30, 20222023 was $6.1$12.3 million as compared to $2.9$6.1 million for the quarter ended September 30, 20212022 due to a higher interest rate environment.
Other Expense,Income (Expense), net: Other expense forincome (expense) consisted primarily of net foreign currency gains during the quarterthree months ended September 30, 2022 was $0.7 million as compared to other expense of $1.3 million for the quarter ended September 30, 2021. Other expense consisted primarily of2023 and losses on equity investments and net foreign currency losses during the third quarter of 2022 and 2021, respectively.three months ended September 30, 2022.
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Income Tax Provision: Our income before income tax provision, income tax provision and effective tax rates were as follows:
Three Months Ended September 30,Three Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021(in thousands, except percentages)20232022
Income before income tax provisionIncome before income tax provision$117,981 $103,898 Income before income tax provision$62,545 $117,981 
Income tax provisionIncome tax provision$22,006 $18,556 Income tax provision$7,043 $22,006 
Effective tax rateEffective tax rate18.7 %17.9 %Effective tax rate11.3 %18.7 %

The increasedecrease in the effective tax rate fromfor the third quarterthree months ended September 30, 2023 was a result of 2021 was primarily due to a decrease in U.S. federal tax expense on foreign earnings and increased benefits related to tax planning in a foreign jurisdiction, offset by change in the net reserve for uncertain tax positions.research and development credits.
When compared to the federal and state combined statutory rate for each respective period, the effective tax rates for the quarters ended September 30, 20222023 and 2021September 30, 2022 were favorably impacted by tax benefits from 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:
Three Months Ended September 30,Three Months Ended September 30,
(in thousands, except per share data)(in thousands, except per share data)20222021(in thousands, except per share data)20232022
Net incomeNet income$95,975 $85,342 Net income$55,502 $95,975 
Diluted earnings per shareDiluted earnings per share$1.10 $0.97 Diluted earnings per share$0.64 $1.10 
Weighted average shares outstanding - dilutedWeighted average shares outstanding - diluted87,418 88,169 Weighted average shares outstanding - diluted87,381 87,418 
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Nine Months Ended September 30, 20222023 Compared to Nine Months Ended September 30, 20212022
Revenue:
Nine Months Ended September 30, Nine Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021Change(in thousands, except percentages)20232022Change
GAAPConstant CurrencyGAAPGAAPConstant
Currency
GAAPConstant CurrencyGAAPGAAPConstant
Currency
AmountAmount%Amount%AmountAmount%Amount%
Revenue:Revenue:Revenue:
Subscription lease licensesSubscription lease licenses$362,977 $390,455 $315,387 $47,590 15.1 $75,068 23.8 Subscription lease licenses$386,494 $389,366 $362,977 $23,517 6.5 $26,389 7.3 
Perpetual licensesPerpetual licenses212,355 221,273 232,433 (20,078)(8.6)(11,160)(4.8)Perpetual licenses199,977 201,299 212,355 (12,378)(5.8)(11,056)(5.2)
Software licensesSoftware licenses575,332 611,728 547,820 27,512 5.0 63,908 11.7 Software licenses586,471 590,665 575,332 11,139 1.9 15,333 2.7 
MaintenanceMaintenance742,554 782,457 655,843 86,711 13.2 126,614 19.3 Maintenance820,393 827,158 742,554 77,839 10.5 84,604 11.4 
ServiceService53,552 55,600 47,385 6,167 13.0 8,215 17.3 Service57,977 58,198 53,552 4,425 8.3 4,646 8.7 
Maintenance and serviceMaintenance and service796,106 838,057 703,228 92,878 13.2 134,829 19.2 Maintenance and service878,370 885,356 796,106 82,264 10.3 89,250 11.2 
Total revenueTotal revenue$1,371,438 $1,449,785 $1,251,048 $120,390 9.6 $198,737 15.9 Total revenue$1,464,841 $1,476,021 $1,371,438 $93,403 6.8 $104,583 7.6 

Revenue for the nine months ended September 30, 20222023 increased 9.6%6.8% compared to the nine months ended September 30, 2021,2022, or 15.9%7.6% in constant currency. Our revenue was favorably impacted by our continued investment in our global sales, support and marketing organizations and the timing and duration of our multi-year lease contracts. Annual maintenance contracts that were sold with new perpetual licenses, maintenance contracts for new perpetual licenses sold in previous quarters, maintenance renewals and the maintenance portion of subscription lease license contracts collectively contributed to maintenanceMaintenance revenue growth of 13.2%10.5%, or 19.3%11.4% in constant currency.currency, is correlated with previous license sales and is driven substantially by our existing customer base. The reported $77.8 million growth in maintenance revenue was attributable to a $68.1 million increase in maintenance associated with lease licenses and a $9.7 million increase in maintenance associated with perpetual sales. Subscription lease license revenue increased 15.1%6.5%, or 23.8%7.3% in constant currency, as compared to the nine months ended September 30, 2021. Service2022, with substantially all of the increase attributable to incremental sales to our existing customers. The reported $23.5 million increase in lease license revenue increased 13.0%, or 17.3%was attributable to a $13.7 million increase in constant currency, as compared to the nine months ended September 30, 2021.value from annual licenses and a $9.8 million increase in value from multi-year licenses. Perpetual license revenue, which is derived from new sales during the nine months ended September 30, 2022,2023, decreased 8.6%5.8%, or 4.8%5.2% in constant currency, as compared to the nine months ended September 30, 2021 primarily due to customers' preference shifting to subscription lease licenses.2022. Driving the decrease in perpetual license revenue was a 4.6% decrease in average deal size and a 1.2% decrease in the volume of deals.
With respect to revenue, on average for the nine months ended September 30, 2022,2023, the U.S. Dollar was 11.8%1.8% stronger, when measured against our foreign currencies, than for the nine months ended September 30, 2021.2022. The table below presents the net impacts of currency fluctuations on revenue for the nine months ended September 30, 2022.2023. Amounts in brackets indicate an adverse impact from currency fluctuations.
(in thousands)Nine Months Ended September 30, 20222023
Euro$(32,897)
Japanese Yen(23,618)$(10,256)
Indian Rupee(1,828)
South Korean Won(14,463)
British Pound(3,993)(1,500)
Taiwan Dollar(1,395)(1,413)
Indian RupeeEuro(1,322)5,611
Other(659)(1,794)
        Total$(78,347)(11,180)

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As a percentage of revenue, our international and domestic revenues, and our direct and indirect revenues, were as follows:
Nine Months Ended September 30,
20222021
International57.3 %54.4 %
Domestic42.7 %45.6 %
Direct73.7 %74.0 %
Indirect26.3 %26.0 %
In valuing deferred revenue on the balance sheets of our acquisitions that closed prior to 2022, 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 $6.8 million and $19.1 million for the nine months ended September 30, 2022 and 2021, respectively.

Nine Months Ended September 30,
20232022
International54.8 %57.3 %
Domestic45.2 %42.7 %
Direct73.7 %73.7 %
Indirect26.3 %26.3 %
Cost of Sales and Operating Expenses:
The tables below reflect our operating results on both a GAAP and constant currency basis. 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.
Nine Months Ended September 30, Nine Months Ended September 30,
20222021Change20232022Change
GAAPConstant CurrencyGAAPGAAPConstant CurrencyGAAPConstant CurrencyGAAPGAAPConstant Currency
(in thousands,
except percentages)
(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%(in thousands,
except percentages)
Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%
Cost of sales:Cost of sales:Cost of sales:
Software
licenses
Software
licenses
$25,370 1.8 $25,609 1.8 $23,960 1.9 $1,410 5.9 $1,649 6.9 Software
licenses
$29,095 2.0 $29,206 2.0 $25,370 1.8 $3,725 14.7 $3,836 15.1 
AmortizationAmortization51,947 3.8 53,004 3.7 45,163 3.6 6,784 15.0 7,841 17.4 Amortization60,404 4.1 60,331 4.1 51,947 3.8 8,457 16.3 8,384 16.1 
Maintenance
and service
Maintenance
and service
111,897 8.2 117,141 8.1 119,884 9.6 (7,987)(6.7)(2,743)(2.3)Maintenance
and service
111,750 7.6 113,044 7.7 111,897 8.2 (147)(0.1)1,147 1.0 
Total cost of
sales
Total cost of
sales
189,214 13.8 195,754 13.5 189,007 15.1 207 0.1 6,747 3.6 Total cost of
sales
201,249 13.7 202,581 13.7 189,214 13.8 12,035 6.4 13,367 7.1 
Gross profitGross profit$1,182,224 86.2 $1,254,031 86.5 $1,062,041 84.9 $120,183 11.3 $191,990 18.1 Gross profit$1,263,592 86.3 $1,273,440 86.3 $1,182,224 86.2 $81,368 6.9 $91,216 7.7 

Software Licenses: The increase in the cost of software licenses was primarily due to increased third-party royalties of $1.4$3.8 million.
Amortization: The increase in amortization expense was primarily due to the amortization of newly acquired intangible assets acquired within the last year.assets.
Maintenance and Service: The net decrease in maintenance and service costs was primarily due to the following:
Decreased salaries of $1.6 million.
Decreased costs related to foreign exchange translation of $5.2$1.3 million due to a stronger U.S. Dollar.
DecreasedIncreased stock-based compensation of $2.4$2.5 million.
The improvement in gross profit was a result of the increase in revenue, partially offset by the increase in the cost of sales.
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Nine Months Ended September 30, Nine Months Ended September 30,
20222021Change20232022Change
GAAPConstant CurrencyGAAPGAAPConstant CurrencyGAAPConstant CurrencyGAAPGAAPConstant Currency
(in thousands, except percentages)(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%(in thousands, except percentages)Amount% of
Revenue
Amount% of
Revenue
Amount% of
Revenue
Amount%Amount%
Operating expenses:Operating expenses:Operating expenses:
Selling, general and administrativeSelling, general and administrative$515,421 37.6 $533,378 36.8 $471,993 37.7 $43,428 9.2 $61,385 13.0 Selling, general and administrative$585,278 40.0 $590,565 40.0 $515,421 37.6 $69,857 13.6 $75,144 14.6 
Research and developmentResearch and development322,271 23.5 330,495 22.8 303,381 24.3 18,890 6.2 27,114 8.9 Research and development368,581 25.2 370,128 25.1 322,271 23.5 46,310 14.4 47,857 14.8 
AmortizationAmortization11,975 0.9 12,615 0.9 12,244 1.0 (269)(2.2)371 3.0 Amortization16,598 1.1 16,474 1.1 11,975 0.9 4,623 38.6 4,499 37.6 
Total operating expensesTotal operating expenses849,667 62.0 876,488 60.5 787,618 63.0 62,049 7.9 88,870 11.3 Total operating expenses970,457 66.2 977,167 66.2 849,667 62.0 120,790 14.2 127,500 15.0 
Operating incomeOperating income$332,557 24.2 $377,543 26.0 $274,423 21.9 $58,134 21.2 $103,120 37.6 Operating income$293,135 20.0 $296,273 20.1 $332,557 24.2 $(39,422)(11.9)$(36,284)(10.9)

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 $33.4$41.2 million.
Increased stock-based compensation of $21.9 million.
Increased business travel of $8.5$8.0 million as in-person meetings and live attendance at trade events have continued to expand.
Increased consulting and professional feesmarketing expenses of $5.0$3.1 million.
Increased marketing expenses of $4.5 million.
Increased ITinformation technology (IT) maintenance and software hosting costs of $3.5$2.4 million.
Increased bad debt expensefacilities costs of $1.7 million due to the write-off of receivables due from Russian customers as a result of sanctions imposed related to Russia's invasion of Ukraine.$1.9 million.
Decreased costs related to foreign exchange translation of $18.0$5.3 million due to a stronger U.S. Dollar.
Decreased third-party commissions of $2.7 million.
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 $17.2$31.6 million.
Increased stock-based compensation of $12.0 million.
Increased IT maintenance and software hosting costs of $2.6$2.4 million.
Amortization:Increased business travel of $2.3 million as in-person meetings and live attendance at trade events have continued to expand.
Increased stock-based compensation of $1.4 million.
Decreased costs related to foreign exchange translation of $8.2 million The increase in amortization expense was primarily due to a stronger U.S. Dollar.the amortization of newly acquired intangible assets.
The impacts from currency fluctuations resulted in decreased operating income of $45.0$3.1 million for the nine months ended
September 30, 20222023 as compared to the nine months ended September 30, 2021.2022.
Interest Income: Interest income for the nine months ended September 30, 20222023 was $2.1$12.4 million as compared to $1.5$2.1 million for the nine months ended September 30, 2021.2022. The higher interest rate environment and the related increase in the average rate of return on invested cash balances was partially offset by thea lower invested cash balance as a result of investments in acquisitions and share repurchases.
Interest Expense: Interest expense for the nine months ended September 30, 20222023 was $13.7$34.6 million as compared to $9.6$13.7 million for the nine months ended September 30, 2021.2022. Interest expense increased as a result of a higher interest rate environment, partially offset by lower principal balancesenvironment.
Other Expense, net: Other expense for the nine months ended September 30, 2023 was $3.6 million as compared to other expense of $2.1 million for the nine months ended September 30, 2022. Other expense consisted primarily of losses on our outstanding debt.equity investments and net foreign currency losses.
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Other (Expense) Income, net: Other expense for the nine months ended September 30, 2022 was $2.1 million as compared to other income of $14.0 million for the nine months ended September 30, 2021. Other (expense) income consisted primarily of losses on equity investments and net foreign currency losses during the nine months ended September 30, 2022 and gains on equity investments during the nine months ended September 30, 2021.

Income Tax Provision: Our income before income tax provision, income tax provision and effective tax rates were as follows:
Nine Months Ended September 30,Nine Months Ended September 30,
(in thousands, except percentages)(in thousands, except percentages)20222021(in thousands, except percentages)20232022
Income before income tax provisionIncome before income tax provision$318,904 $280,381 Income before income tax provision$267,366 $318,904 
Income tax provisionIncome tax provision$53,141 $28,925 Income tax provision$41,716 $53,141 
Effective tax rateEffective tax rate16.7 %10.3 %Effective tax rate15.6 %16.7 %
The increasedecrease in the effective tax rate fromfor the prior yearnine months ended September 30, 2023 was primarily due to decreasedincreased benefits related to research and development credits and an increase in benefits related to tax planning in a foreign jurisdiction, partially offset by a decrease in benefits related to stock-based compensation.
When compared to the federal and state combined statutory rate for each respective period, the effective tax rates for the nine months ended September 30, 20222023 and 2021September 30, 2022 were favorably impacted by tax benefits from stock-based compensation, the FDII deduction and research and development credits, partially offset by the impact of non-deductible compensation.
Net Income: Our net income, diluted earnings per share and weighted average shares used in computing diluted earnings per share were as follows:
Nine Months Ended September 30,Nine Months Ended September 30,
(in thousands, except per share data)(in thousands, except per share data)20222021(in thousands, except per share data)20232022
Net incomeNet income$265,763 $251,456 Net income$225,650 $265,763 
Diluted earnings per shareDiluted earnings per share$3.04 $2.86 Diluted earnings per share$2.58 $3.04 
Weighted average shares outstanding - dilutedWeighted average shares outstanding - diluted87,496 88,069 Weighted average shares outstanding - diluted87,335 87,496 
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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 included below.below, as applicable.
ANSYS, INC. AND SUBSIDIARIESANSYS, INC. AND SUBSIDIARIESANSYS, INC. AND SUBSIDIARIES
Reconciliations of GAAP to Non-GAAP MeasuresReconciliations of GAAP to Non-GAAP MeasuresReconciliations of GAAP to Non-GAAP Measures
(Unaudited)(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
September 30, 2022September 30, 2023
(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$472,511 $410,544 86.9 %$123,384 26.1 %$95,975 $1.10 Total GAAP$458,795 $393,538 85.8 %$69,816 15.2 %$55,502 $0.64 
Acquisition accounting for deferred revenue1,162 1,162  %1,162 0.2 %1,162 0.01 
Stock-based compensation expenseStock-based compensation expense 2,621 0.5 %46,970 9.9 %46,970 0.55 Stock-based compensation expense 3,568 0.8 %58,061 12.7 %58,061 0.66 
Excess payroll taxes related to stock-based awardsExcess payroll taxes related to stock-based awards 37  %260 0.1 %260  Excess payroll taxes related to stock-based awards 3  %241 0.1 %241  
Amortization of intangible assets from acquisitionsAmortization of intangible assets from acquisitions 17,281 3.7 %21,102 4.4 %21,102 0.24 Amortization of intangible assets from acquisitions 20,707 4.5 %26,654 5.8 %26,654 0.31 
Expenses related to business combinationsExpenses related to business combinations   %1,210 0.3 %1,210 0.01 Expenses related to business combinations   %1,465 0.3 %1,465 0.02 
Adjustment for income tax effectAdjustment for income tax effect   %  %(11,958)(0.14)Adjustment for income tax effect   %  %(19,026)(0.22)
Total non-GAAPTotal non-GAAP$473,673 $431,645 91.1 %$194,088 41.0 %$154,721 $1.77 Total non-GAAP$458,795 $417,816 91.1 %$156,237 34.1 %$122,897 $1.41 
1 Diluted weighted average shares were 87,381.
Three Months Ended
September 30, 2022
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$472,511 $410,544 86.9 %$123,384 26.1 %$95,975 $1.10 
Acquisition accounting for deferred revenue1,162 1,162 — %1,162 0.2 %1,162 0.01 
Stock-based compensation expense— 2,621 0.5 %46,970 9.9 %46,970 0.55 
Excess payroll taxes related to stock-based awards— 37 — %260 0.1 %260 — 
Amortization of intangible assets from acquisitions— 17,281 3.7 %21,102 4.4 %21,102 0.24 
Expenses related to business combinations— — — %1,210 0.3 %1,210 0.01 
Adjustment for income tax effect— — — %— — %(11,958)(0.14)
Total non-GAAP$473,673 $431,645 91.1 %$194,088 41.0 %$154,721 $1.77 
1 Diluted weighted average shares were 87,418.
Three Months Ended
September 30, 2021
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$441,168 $378,422 85.8 %$107,628 24.4 %$85,342 $0.97 
Acquisition accounting for deferred revenue4,256 4,256 0.1 %4,256 0.7 %4,256 0.05 
Stock-based compensation expense— 2,753 0.6 %44,144 9.9 %44,144 0.49 
Excess payroll taxes related to stock-based awards— 38 — %626 0.1 %626 0.01 
Amortization of intangible assets from acquisitions— 15,189 3.4 %18,592 4.2 %18,592 0.21 
Expenses related to business combinations— — — %1,716 0.4 %1,716 0.02 
Adjustment for income tax effect— — — %— — %(14,358)(0.16)
Total non-GAAP$445,424 $400,658 89.9 %$176,962 39.7 %$140,318 $1.59 
1 Diluted weighted average shares were 88,169.


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ANSYS, INC. AND SUBSIDIARIES
Reconciliations of GAAP to Non-GAAP Measures
(Unaudited)
Nine Months Ended
September 30, 2022
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$1,371,438 $1,182,224 86.2 %$332,557 24.2 %$265,763 $3.04 
Acquisition accounting for deferred revenue6,758 6,758 0.1 %6,758 0.3 %6,758 0.08 
Stock-based compensation expense 7,448 0.5 %122,119 8.9 %122,119 1.40 
Excess payroll taxes related to stock-based awards 481  %5,530 0.5 %5,530 0.06 
Amortization of intangible assets from acquisitions 51,947 3.8 %63,922 4.6 %63,922 0.73 
Expenses related to business combinations   %5,376 0.4 %5,376 0.06 
Adjustment for income tax effect   %  %(40,929)(0.47)
Total non-GAAP$1,378,196 $1,248,858 90.6 %$536,262 38.9 %$428,539 $4.90 

ANSYS, INC. AND SUBSIDIARIES
Reconciliations of GAAP to Non-GAAP Measures
(Unaudited)
Nine Months Ended
September 30, 2023
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$1,464,841 $1,263,592 86.3 %$293,135 20.0 %$225,650 $2.58 
Stock-based compensation expense 9,924 0.6 %158,533 10.7 %158,533 1.81 
Excess payroll taxes related to stock-based awards 303  %5,270 0.4 %5,270 0.06 
Amortization of intangible assets from acquisitions 60,404 4.2 %77,002 5.3 %77,002 0.88 
Expenses related to business combinations   %5,758 0.4 %5,758 0.07 
Adjustment for income tax effect   %  %(48,222)(0.55)
Total non-GAAP$1,464,841 $1,334,223 91.1 %$539,698 36.8 %$423,991 $4.85 
1 Diluted weighted average shares were 87,335.

Nine Months Ended
September 30, 2022
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$1,371,438 $1,182,224 86.2 %$332,557 24.2 %$265,763 $3.04 
Acquisition accounting for deferred revenue6,758 6,758 0.1 %6,758 0.3 %6,758 0.08 
Stock-based compensation expense— 7,448 0.5 %122,119 8.9 %122,119 1.40 
Excess payroll taxes related to stock-based awards— 481 — %5,530 0.5 %5,530 0.06 
Amortization of intangible assets from acquisitions— 51,947 3.8 %63,922 4.6 %63,922 0.73 
Expenses related to business combinations— — — %5,376 0.4 %5,376 0.06 
Adjustment for income tax effect— — — %— — %(40,929)(0.47)
Total non-GAAP$1,378,196 $1,248,858 90.6 %$536,262 38.9 %$428,539 $4.90 
1 Diluted weighted average shares were 87,496.

Nine Months Ended
September 30, 2021
(in thousands, except percentages and per share data)RevenueGross Profit%Operating Income%Net Income
EPS - Diluted1
Total GAAP$1,251,048 $1,062,041 84.9 %$274,423 21.9 %$251,456 $2.86 
Acquisition accounting for deferred revenue19,075 19,075 0.2 %19,075 1.1 %19,075 0.22 
Stock-based compensation expense— 9,834 0.8 %122,148 9.7 %122,148 1.38 
Excess payroll taxes related to stock-based awards— 1,085 0.1 %12,080 1.0 %12,080 0.14 
Amortization of intangible assets from acquisitions— 45,163 3.5 %57,407 4.5 %57,407 0.65 
Expenses related to business combinations— — — %5,007 0.4 %5,007 0.06 
Adjustment for income tax effect— — — %— — %(65,334)(0.75)
Total non-GAAP$1,270,123 $1,137,198 89.5 %$490,140 38.6 %$401,839 $4.56 
1 Diluted weighted average shares were 88,069.

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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. Under prior accounting guidance, a fair value provision resulted in acquired deferred revenue that was often recorded on the opening balance sheet at an amount that was lower than the historical carrying value. Although this fair value provision has no impact on our business or cash flow, it adversely impacts our reported GAAP revenue in the reporting periods following an acquisition. In 2022, we adopted accounting guidance which eliminates the fair value provision that resulted in the deferred revenue adjustment on a prospective basis. In order to provide investors with financial information that facilitates comparison of both historical and future results, we providehave historically provided non-GAAP financial measures which exclude the impact of the acquisition accounting adjustment for acquisitions prior to the adoption of the new guidance in 2022. We believe that thisThe 2022 non-GAAP financial measures presented in this document include the adjustment to exclude the income statement effects of acquisition accounting adjustments to deferred revenue from business combinations closed prior to 2022. There 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 resultsno adjustment included for 2023 as the revenue reduction related to acquired deferred revenue willimpact is not recur when related subscription lease licenses and software maintenance contracts are renewed in future periods.material.
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.
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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. 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. Specifically, we exclude stock-based compensation 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, each manager's performance and assess financial discipline over operational expenditures without the effect of stock-based compensation. We believe that these non-GAAP financial measures are useful to investors because they allow investors to (a) evaluate our operating results and the
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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.
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. Beginning in the second quarter of 2022, we have updated this non-GAAP measure to include, in addition to professional services rendered in connection with business combinations,We also incur other expenses directly related to business combinations, including compensation expenses and concurrent restructuring activities, such as employee severances and other exit costs. These costs are included in our GAAP presentation of selling, general and administrative and research and development expenses. The additional expenses were not material in the current or comparable period. We exclude these acquisition-related expenses 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.
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 and update 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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Constant currency. In addition to the non-GAAP financial measures detailed above, we use constant currency results for financial and operational decision-making and as a means to evaluate period-to-period comparisons by excluding the effects of foreign currency fluctuations on the reported results. To present this information, the 20222023 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 20212022 comparable period, rather than the actual exchange rates in effect for 2022.the 2023 period. Constant currency growth rates are calculated by adjusting the 20222023 reported amounts by the 20222023 currency fluctuation impacts and comparing the adjusted amounts to the 20212022 comparable period reported amounts. 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 reported results to our past reports of financial results without the effects of foreign currency fluctuations.
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Liquidity and Capital Resources
(in thousands)September 30,
2022
December 31,
2021
Change
Change
(in thousands, except percentages)(in thousands, except percentages)September 30,
2023
December 31,
2022
Amount%
Cash, cash equivalents and short-term investmentsCash, cash equivalents and short-term investments$632,703 $668,028 $(35,325)Cash, cash equivalents and short-term investments$639,513 $614,574 $24,939 4.1 
Working capitalWorking capital$840,186 $860,082 $(19,896)Working capital$908,068 $869,286 $38,782 4.5 

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.year. The following table presents our foreign and domestic holdings of cash, cash equivalents and short-term investments as of September 30, 20222023 and December 31, 2021:2022:
(in thousands, except percentages)(in thousands, except percentages)September 30,
2022
% of TotalDecember 31,
2021
% of Total(in thousands, except percentages)September 30,
2023
% of TotalDecember 31,
2022
% of Total
DomesticDomestic$359,619 56.8 $365,390 54.7 Domestic$326,877 51.1 $326,784 53.2 
ForeignForeign273,084 43.2 302,638 45.3 Foreign312,636 48.9 287,790 46.8 
TotalTotal$632,703 $668,028 Total$639,513 $614,574 

In general, it is our intention to permanently reinvest all earnings in excess of previously taxed amounts. Substantially all of the pre-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 increase our previously taxed earnings and allow for the repatriation of the majority of our foreign earnings without any residual U.S. federal tax. Unrecognized provisions for taxes on indefinitely reinvested undistributed earnings of foreign subsidiaries would not be significant.
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
Nine Months Ended September 30,Nine Months Ended September 30,Change
(in thousands)20222021Change
(in thousands, except percentages)(in thousands, except percentages)20232022Amount%
Net cash provided by operating activitiesNet cash provided by operating activities$457,031 $447,829 $9,202 Net cash provided by operating activities$484,400 $457,031 $27,369 6.0 

Net cash provided by operating activities increased during the nine months ended September 30, 20222023 compared to the nine months ended September 30, 2021 due to increased net cash flows from operating assets and liabilities of $10.0 million, partially offset by decreased net income (net of non-cash operating adjustments) of $0.8 million.2022. The growthincrease in net cash provided by operating activities was a result of increased customer receipts driven primarily by ACV growth, and lowerpartially offset by increased payments related to higher operating expenses, income tax payments, partially offset by additional cash outflows relatedand interest payments due to increased operating expensesthe higher interest rate environment as compared to the nine months ended September 30, 2021.2022.
Cash Flows from Investing Activities
Nine Months Ended September 30,Nine Months Ended September 30,Change
(in thousands)20222021Change
(in thousands, except percentages)(in thousands, except percentages)20232022Amount%
Net cash used in investing activitiesNet cash used in investing activities$(258,622)$(123,656)$(134,966)Net cash used in investing activities$(220,166)$(258,622)$38,456 14.9 

Net cash used in investing activities increaseddecreased by $135.0$38.5 million during the nine months ended September 30, 20222023 compared to the nine months ended September 30, 20212022 due to increaseddecreased acquisition-related net cash outlays of $137.5$44.8 million. We currently plan capital spending of $20.0$25.0 million to $25.0$30.0 million during fiscal year 20222023 as compared to the $23.0$24.4 million that was spent in fiscal year 2021.2022. The level of spending will depend on various factors, including the growth of the business and general economic conditions.
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Cash Flows from Financing Activities
Nine Months Ended September 30,Nine Months Ended September 30,Change
(in thousands)20222021Change
(in thousands, except percentages)(in thousands, except percentages)20232022Amount%
Net cash used in financing activitiesNet cash used in financing activities$(197,978)$(146,865)$(51,113)Net cash used in financing activities$(232,600)$(197,978)$(34,622)(17.5)

Net cash used in financing activities increased during the nine months ended September 30, 20222023 compared to the nine months ended September 30, 20212022 due to increased stock repurchases of $119.6 million, partially offset by decreased principal payments on long-term debt of $45.0 million and decreased restricted stock withholding taxes paid in lieu of issued shares of $30.1$40.9 million.
Other Cash Flow Information
On June 30, 2022, we entered into a credit agreement (as amended, the 2022 Credit AgreementAgreement) with PNC Bank, National Association as administrative agent, swing line lender, and an L/C issuer, the lenders party thereto, and the other L/C issuers party thereto. The 2022 Credit Agreement refinanced our previous credit agreements in their entirety. The 2022 Credit Agreement provides for a $755.0 million unsecured term loan facility and a $500.0 million unsecured revolving loan facility, which includes a $50.0 million sublimit for the issuance of letters of credit. Terms used in this description of the 2022 Credit Agreement with initial capital letters that are not otherwise defined herein are as defined in the 2022 Credit Agreement.
The term loan facility was advanced by the lenders thereunder to refinance and replace the Prior Credit Agreements.
As of September 30, 2022,2023, the carrying value of our term loan was $753.5$753.8 million, with no principal payments due in the next twelve months. Borrowings under the term loan and revolving loan facilities accrue interest at a rate that is based on the Term SOFR plus an applicable margin or at the base rate plus an applicable margin, at our election. The base rate is the highest of (i) the Overnight Bank Funding Rate, plus 0.500%, (ii) the PNC Bank, National Association prime rate, and (iii) Daily Simple SOFR plus an adjustment for SOFR plus 1.00%. The applicable margin for the borrowings is a percentage per annum based on the lower of (1) a pricing level determined by our then-current consolidated net leverage ratio and (2) a pricing level determined by our public debt rating (if available).
On September 29, 2023, the 2022 Credit Agreement was amended to provide for an interest rate adjustment (Sustainability Rate Adjustment) based upon the achievement of certain environmental, social and governance key performance indicators (KPIs). The Sustainability Rate Adjustment range is +/- 0.05% and will go into effect in the first quarter of 2024 based on the 2023 KPIs and will be adjusted annually based on the KPIs of the preceding year.
The rate in effect for the fourth quarter under the 2022 Credit Agreement is 4.53%6.37%.
We previously entered into operating lease commitments, primarily for our domestic and international offices. The commitments related to these operating leases is $145.5$136.6 million, of which $23.6$26.2 million is due in the next twelve months.
In November 2022, we had a $70.0 million cash outflow (net of cash acquired) associated with a strategic acquisition.
We believe that existing cash and cash equivalent balances, together with cash generated from operations and access to our $500.0 million revolving loan facility, will be sufficient to meet our working capital and capital expenditure requirements through the next twelve months. 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.
Under our stock repurchase program, we repurchased shares as follows:
Nine Months EndedNine Months Ended
(in thousands, except per share data)(in thousands, except per share data)September 30,
2022
September 30,
2021
(in thousands, except per share data)September 30,
2023
September 30,
2022
Number of shares repurchasedNumber of shares repurchased50097 Number of shares repurchased650500 
Average price paid per shareAverage price paid per share$311.14 $371.83 Average price paid per share$302.34 $311.14 
Total costTotal cost$155,571 $35,993 Total cost$196,494 $155,571 
All of the shares repurchased during the nine months ended September 30, 2022 were repurchased in the first quarter. As of September 30, 2022, 2.02023, 1.1 million shares remained available for repurchase under the program. Average price paid per share excludes excise tax. As of January 1, 2023, our share repurchases in excess of issuances are subject to a 1% excise tax enacted by the Inflation Reduction Act. Any excise tax incurred is recognized and reflected as part of the cost basis of the shares acquired in the Condensed Consolidated Statements of Stockholders' Equity.
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 including pursuant to a Rule 10b5-1 plan.
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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.
We believe that existing cash and cash equivalent balances, together with cash generated from operations and access to our $500.0 million revolving loan facility, will be sufficient to meet our working capital and capital expenditure requirements and contractual obligations through at least the next twelve months and the foreseeable future thereafter. 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.
Contractual and Other Obligations
There were no material changes to our significant contractual and other obligations during the nine months ended September 30, 20222023 as compared to those previously reported within "Management's Discussion and Analysis of Financial Condition and Results of Operations" in our 20212022 Form 10-K.
Critical Accounting Estimates
During the first quarter of 2022,2023, 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, 2022. Given the adverse economic and market conditions in the third quarter, 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 value over the carrying amount in the most recent impairment test, we determined it was not more likely than not that an impairment existed as of September 30, 2022.2023. No other events or circumstances changed during the nine months ended September 30, 20222023 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 estimates as previously reported within "Management's Discussion and Analysis of Financial Condition and Results of Operations" in our 20212022 Form 10-K.





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Item 3. Quantitative and Qualitative Disclosures About Market Risk
Foreign Currency Exchange 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. We seek to reduce our currency exchange transaction risks primarily through our normal operating and treasury activities, including the use of derivative instruments.
With respect to revenue, on average for the quarter ended September 30, 2022,2023, the U.S. Dollar was 15.3% stronger,3.1% weaker, when measured against our foreign currencies, than for the quarter ended September 30, 2021.2022. With respect to revenue, on average for the nine months ended September 30, 2022,2023, the U.S. Dollar was 11.8%1.8% stronger, when measured against our foreign currencies, than for the nine months ended September 30, 2021.2022. The table below presents the net impacts of currency fluctuations on revenue for the three and nine months ended September 30, 2022.2023. Amounts in brackets indicate a net adverse impact from currency fluctuations.
(in thousands)(in thousands)Three Months Ended September 30, 2022Nine Months Ended September 30, 2022(in thousands)Three Months Ended September 30, 2023Nine Months Ended September 30, 2023
Japanese YenJapanese Yen$(1,757)$(10,256)
Indian RupeeIndian Rupee(352)(1,828)
South Korean WonSouth Korean Won765 (1,500)
Taiwan DollarTaiwan Dollar(339)(1,413)
EuroEuro$(15,924)$(32,897)Euro7,315 5,611 
Japanese Yen(9,724)(23,618)
South Korean Won(8,633)(14,463)
British Pound(2,320)(3,993)
Taiwan Dollar(546)(1,395)
Indian Rupee(661)(1,322)
OtherOther(429)(659)Other531 (1,794)
Total Total$(38,237)$(78,347) Total$6,163 $(11,180)

The impacts from currency fluctuations resulted in increased operating income of $2.5 million and decreased operating income of $23.1 million and $45.0$3.1 million for the three and nine months ended September 30, 2022,2023, respectively, as compared to the three and nine months ended September 30, 2021.2022, respectively.

A hypothetical 10% strengthening in the U.S. Dollar against other currencies would have decreased our revenue by $25.0$19.8 million and $66.7$63.6 million for the three and nine months ended September 30, 2022,2023, respectively, and decreased our operating income by $13.1$7.4 million and $29.5$22.6 million for the three and nine months ended September 30, 2022,2023, respectively.
The most meaningful currency impacts on revenue and operating income are typically attributable to U.S. Dollar exchange rate changes against the Euro and Japanese Yen. Historical exchange rates for these currency pairs are reflected in the charts below:
Period-End Exchange RatesPeriod-End Exchange Rates
As ofAs ofEUR/USDUSD/JPYAs ofEUR/USDUSD/JPY
September 30, 2023September 30, 20231.06 149 
December 31, 2022December 31, 20221.07 131 
September 30, 2022September 30, 20220.98 144.78 September 30, 20220.98 145 
December 31, 20211.14 115.11 
September 30, 20211.16 111.30 
    
Average Exchange RatesAverage Exchange Rates
Three Months EndedThree Months EndedEUR/USDUSD/JPYThree Months EndedEUR/USDUSD/JPY
September 30, 2023September 30, 20231.09 145 
September 30, 2022September 30, 20221.01 138.32 September 30, 20221.01 138 
September 30, 20211.18 110.09 
Average Exchange RatesAverage Exchange Rates
Nine Months EndedNine Months EndedEUR/USDUSD/JPYNine Months EndedEUR/USDUSD/JPY
September 30, 2023September 30, 20231.08 138 
September 30, 2022September 30, 20221.06 127.42 September 30, 20221.06 127 
September 30, 20211.20 108.45 
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 nine months ended September 30, 2022,2023, interest income was $1.3$4.9 million and $2.1$12.4 million, respectively, and interest expense was $6.1$12.3 million and $13.7$34.6 million, respectively.
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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
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of three months to one year.year. A hypothetical 100 basis point change in interest rates on these holdings would have an immaterial impact on our financial results.
Our outstanding term loan borrowings of $755.0 million as of September 30, 20222023 accrue interest at a rate that is based on the Term SOFR plus an applicable margin or at the base rate plus an applicable margin, at our election. The base rate is the highest of (i) the Overnight Bank Funding Rate, plus 0.500%, (ii) the PNC Bank, National Association prime rate, and (iii) Daily Simple SOFR plus an adjustment for SOFR plus 1.00%. The applicable margin for the borrowings is a percentage per annum based on the lower of (1) a pricing level determined by our then-current consolidated net leverage ratio and (2) a pricing level determined by our public debt rating (if available).
On September 29, 2023, the 2022 Credit Agreement was amended to provide for an interest rate adjustment (Sustainability Rate Adjustment) based upon the achievement of certain environmental, social and governance key performance indicators (KPIs). The Sustainability Rate Adjustment range is +/- 0.05% and will go into effect in the first quarter of 2024 based on the 2023 KPIs and will be adjusted annually based on the KPIs of the preceding year.
Because interest rates applicable to the outstanding borrowings are variable, we are exposed to interest rate risk from changes in the underlying index rates, which affects our interest expense. A hypothetical increase of 100 basis points in interest rates would result in an increase in interest expense and a corresponding decrease in cash flows of $7.6$7.7 million over the next twelve months, based on outstanding borrowings at September 30, 2022.2023.
No other material change has occurred in our market risk subsequent to December 31, 2021.2022.
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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 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) and Rule 15d-15(e) of the Exchange Act.
We have not yet included our 2022 acquisitions in our assessment of the effectiveness of our internal control over financial reporting. Accordingly, pursuant to the SEC's general guidance that an assessment of a recently acquired business may be omitted from the scope of an assessment in the year of acquisition, the scope of our assessment of the effectiveness of our disclosure controls and procedures does not include our 2022 acquisitions. As of and for the three and nine months ended September 30, 2022, our 2022 acquisitions represented 4.0% of our consolidated assets and accounted for less than 1% of our consolidated revenues.
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 September 30, 20222023 that materially affected, or that are reasonably likely to materially affect, our internal control over financial reporting.


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PART II – OTHER INFORMATION
 
Item 1.Legal Proceedings
We are subject to various claims, investigations and legal and regulatory proceedings that arise in the ordinary course of business, including, but not limited to, commercial disputes, labor and employment matters, tax audits, alleged infringement of third parties' intellectual property rights and other matters. Use or distribution of our products could generate product liability, regulatory infraction, or claims by our customers, end users, channel partners, government entities or third parties. Sales and marketing activities that impact processing of personal data, as well as measures taken to ensurepromote license compliance against pirated or unauthorized usage of our commercial product,products, may also result in claims by customers and individual employees of customers or by non-customers using pirated versions of our products. Each of these matters is subject to various uncertainties, and it is possible that an unfavorable resolution of one or more of these matters could have a significant adverse effect on our condensed consolidated financial statements as well as cause reputational damage. In our opinion, the resolution of pending matters is not expected to have a material adverse effect on our financial position, results of operations or cash flows.

Item 1A. Risk Factors

We face a number of risks that could materially and adversely affect our business, prospects, financial position,condition, results of operations and cash flows. A discussion of our risk factors can be found in Part I, Item 1A "Risk Factors" in our 20212022 Form 10-K and Part II, Item 1A “Risk Factors” in our Quarterly Report on Form 10-Q for the quarterly period ended March 31, 2022.10-K. The risk factor set forth below includes additional information relating to trade restrictions and should be read together with the risk factors disclosed in our 20212022 Form 10-K and Quarterly Report on Form 10-Q for the quarterly period ended March 31, 2022..

We are subject to trade restrictions that couldhave impacted, and may continue to impact, our ability to sell to customers and could result in liabilityliabilities for violations.

Due to the global nature of our business, we are subject to domestic and international trade protection laws, policies, sanctions and other regulatory requirements affecting trade and investment. For example, we are subject to import and export restrictions and regulations that prohibit the shipment or provision of certain products and services to certain countries, regions and persons targeted by the U.S. and certain end uses identified by the U.S., including the Export Administration Regulations administered by the U.S. Department of Commerce’s Bureau of Industry and Security (BIS), economic and trade sanctions administered by the U.S. Treasury Department'sDepartment of Treasury's Office of Foreign Assets Control (OFAC), and International Traffic in Arms Regulations (ITAR) administered by the Department of State’s Directorate of Defense Trade Controls (DDTC).

BIS continues to expand its export control restrictions, andincluding with respect to the export to China of certain technologies, impose new export licensing requirements. Therequirements, and require enhanced denied party screening processes. These additional restrictions have limited and could continue to limit our ability to sell and deliver products and services to certain customers, including to entities performing research and development and certain controlled activities in China. Export control restrictions have led to, and, in the future may continue to lead to, elongated transaction cycles with certain customers. In addition, export control restrictions have resulted, and may continue to result, in reduced sales and/or delays in our ability to deliver products and services to certain prospects, adversely affecting our business and consolidated financial statements. In certain cases, when an export license may be required to deliver products and services to certain customers, the receipt of licenses to export to certain countries, including China, is not guaranteed and, in the absence of a license these export control restrictions could limitor applicable license exception, our ability to sell and deliver products and services to ourcertain customers and our ability to sell products and services to customers in the future.may be negatively impacted. Additionally, BIS continues to add more companies, including existing customers, to its Entity List and Unverified List, and OFAC continues to increase the number of companies subject to its sanctions, which continues to limit the companies with which we can do business. In addition, restrictions implemented by OFAC limit our ability to sell to, or transact with, restricted individuals, entities, or countries.

Adding companies as restricted parties and subjecting companies to heightened export control restrictions may additionally encourage those companies to seek substitute products from competitors whose products are not subject to these restrictions or to develop their own products. We cannot predict whether or when any changes will be made that eliminate or decrease these limitations on our ability to sell products and provide services to these customers.

Additionally, other existing and prospective customers have been and may continue to be added as restricted parties and/or be subjected to trade restrictions and additional end uses, products or services have been and may continue to be identified for further restrictions. Such actions have resulted in, the future, and such actions may continue to result in, other indirect impacts that cannot be quantified, including the impositionincreases to our cost of additionalsales and time to market. Additional trade restrictions on our business by the U.S., China or other countries.countries may also result in other indirect impacts that cannot be quantified. Restrictions on our ability to sell and ship to customers could have a significant adverse effect on our business and consolidated financial statements.

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Our products could also be delivered to restricted parties by third parties, including our channel partners. We take measures to confirm that our channel partners comply with all applicable trade restrictions; however,restrictions, but any failure by channel partners to comply with such restrictions could have negative consequences for us.

Violators of trade restrictions or restricted end uses may be subject to significant penalties, which may include considerable monetary fines, criminal proceedings against them and their officers and employees, a denial of export privileges and suspension or debarment from selling products or services to the federal government. Any such penalties could have a significant adverse effect on our business and consolidated financial statements. In addition, the political and media scrutiny surrounding any governmental investigation could cause significant expense and reputational harm and distract senior executives from managing normal day-to-day operations.
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Item 2.Unregistered Sales of Equity Securities, and Use of Proceeds, and Issuer Purchases of Equity Securities
None.

Item 3.Defaults Upon Senior Securities
None.

Item 4.Mine Safety Disclosures
Not applicable.

Item 5.Other Information
None.Trading Arrangements

None of the directors or "officers" of ANSYS, Inc. (as defined in Rule 16a-1(f) promulgated under the Securities Exchange Act of 1934, as amended) adopted, modified, or terminated a “Rule 10b5-1 trading arrangement” or a “non-Rule 10b5-1 trading arrangement,” as each term is defined in Item 408 of Regulation S-K, during the fiscal quarter ended September 30, 2023.
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Item 6.Exhibits
Exhibit No.Exhibit
10.1*
31.1
31.2
32.1
32.2
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.
*Certain schedules, exhibits, and appendices have been omitted pursuant to Item 601(a)(5) of Regulation S-K.The Company hereby undertakes to furnish copies of any omitted schedule, exhibit, or appendix to the SEC upon request.
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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:November 2, 20221, 2023By:
/s/ Ajei S. Gopal
Ajei S. Gopal
President and Chief Executive Officer
(Principal Executive Officer)
Date:November 2, 20221, 2023By:
/s/ Nicole Anasenes
Nicole Anasenes
Chief Financial Officer and Senior Vice President, Finance
(Principal Financial Officer and Principal Accounting Officer)
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