ANSYS (ANSS) 10-Q 3 Nov 21 2021 Q3 Quarterly report Financial data

Document and Entity Information

Document and Entity Information - shares	9 Months Ended
	Sep. 30, 2021	Oct. 31, 2021
Entity Information [Line Items]
Document Type	10-Q
Document Quarterly Report	true
Document Transition Report	false
Document Period End Date	Sep. 30, 2021
Entity File Number	0-20853
Entity Registrant Name	ANSYS, Inc.
Entity Central Index Key	0001013462
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2021
Document Fiscal Period Focus	Q3
Amendment Flag	false
Entity Incorporation, State or Country Code	DE
Entity Tax Identification Number	04-3219960
Entity Address, Address Line One	2600 ANSYS Drive,
Entity Address, City or Town	Canonsburg,
Entity Address, State or Province	PA
Entity Address, Postal Zip Code	15317
City Area Code	844
Local Phone Number	462-6797
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Large Accelerated Filer
Entity Small Business	false
Entity Emerging Growth Company	false
Entity Shell Company	false
Entity Common Stock, Shares Outstanding		87,252,950
The Nasdaq Global Select Market
Entity Information [Line Items]
Title of 12(b) Security	Common Stock, $0.01 par value per share
Trading Symbol	ANSS
Security Exchange Name	NASDAQ

CONDENSED CONSOLIDATED BALANCE

CONDENSED CONSOLIDATED BALANCE SHEETS (Unaudited) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Current assets:
Cash and cash equivalents	$ 1,080,838	$ 912,672
Short-term investments	527	479
Accounts receivable, less allowance for doubtful accounts of $14,600 and $14,000, respectively	475,829	537,564
Other receivables and current assets	199,491	268,522
Total current assets	1,756,685	1,719,237
Long-term assets:
Property and equipment, net	90,793	96,503
Operating lease right-of-use assets	119,938	137,730
Goodwill	3,101,623	3,038,306
Other intangible assets, net	667,268	694,865
Other long-term assets	215,259	225,119
Deferred income taxes	23,186	28,830
Total long-term assets	4,218,067	4,221,353
Total assets	5,974,752	5,940,590
Current liabilities:
Accounts payable	12,590	18,691
Accrued bonuses and commissions	83,537	112,491
Accrued income taxes	8,024	26,116
Other accrued expenses and liabilities	178,248	199,466
Deferred revenue	318,032	372,061
Total current liabilities	600,431	728,825
Long-term liabilities:
Deferred income taxes	84,566	110,321
Long-term operating lease liabilities	102,842	120,940
Long-term debt	753,451	798,118
Other long-term liabilities	94,218	84,514
Total long-term liabilities	1,035,077	1,113,893
Commitments and contingencies
Stockholders' equity:
Preferred stock, $0.01 par value; 2,000,000 shares authorized; zero shares issued or outstanding	0	0
Common stock, $0.01 par value; 300,000,000 shares authorized; 95,267,307 and 95,266,320 shares issued, respectively	953	953
Additional paid-in capital	1,428,419	1,434,203
Retained earnings	4,056,049	3,804,593
Treasury stock, at cost: 8,055,219 and 8,693,809 shares, respectively	(1,097,051)	(1,124,102)
Accumulated other comprehensive loss	(49,126)	(17,775)
Total stockholders' equity	4,339,244	4,097,872
Total liabilities and stockholders' equity	$ 5,974,752	$ 5,940,590

CONDENSED CONSOLIDATED BALANC_2

CONDENSED CONSOLIDATED BALANCE SHEETS (Unaudited) (Parenthetical) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Statement of Financial Position [Abstract]
Allowance for doubtful accounts	$ 14,600	$ 14,000
Preferred stock, par value	$ 0.01	$ 0.01
Preferred stock, shares authorized	2,000,000	2,000,000
Preferred stock, shares issued	0	0
Preferred stock, shares outstanding	0	0
Common stock, par value	$ 0.01	$ 0.01
Common stock, shares authorized	300,000,000	300,000,000
Common stock, shares issued	95,267,307	95,266,320
Treasury stock, shares	8,055,219	8,693,809

CONDENSED CONSOLIDATED STATEMEN

CONDENSED CONSOLIDATED STATEMENTS OF INCOME (Unaudited) - USD ($) shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Revenue:
Total revenue	$ 441,168	$ 366,965	$ 1,251,048	$ 1,057,611
Cost of sales:
Amortization	15,189	9,911	45,163	29,227
Total cost of sales	62,746	53,385	189,007	157,361
Gross profit	378,422	313,580	1,062,041	900,250
Operating expenses:
Selling, general and administrative	165,368	132,642	471,993	391,862
Research and development	102,023	86,616	303,381	258,861
Amortization	3,403	4,237	12,244	12,562
Total operating expenses	270,794	223,495	787,618	663,285
Operating income	107,628	90,085	274,423	236,965
Interest income	541	754	1,544	4,463
Interest expense	(2,943)	(1,853)	(9,594)	(8,544)
Other (expense) income, net	(1,328)	1,158	14,008	3,169
Income before income tax provision	103,898	90,144	280,381	236,053
Income tax provision	18,556	14,517	28,925	17,798
Net income	$ 85,342	$ 75,627	$ 251,456	$ 218,255
Earnings per share – basic:
Earnings per share	$ 0.98	$ 0.88	$ 2.89	$ 2.55
Weighted average shares	87,239	85,798	87,072	85,749
Earnings per share – diluted:
Earnings per share	$ 0.97	$ 0.87	$ 2.86	$ 2.50
Weighted average shares	88,169	87,224	88,069	87,176
Software licenses
Revenue:
Total revenue	$ 200,394	$ 141,622	$ 547,820	$ 398,793
Cost of sales:
Cost of sales:	8,289	7,251	23,960	20,688
Maintenance and service
Revenue:
Total revenue	240,774	225,343	703,228	658,818
Cost of sales:
Cost of sales:	$ 39,268	$ 36,223	$ 119,884	$ 107,446

CONDENSED CONSOLIDATED STATEM_2

CONDENSED CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME (Unaudited) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Net income	$ 85,342	$ 75,627	$ 251,456	$ 218,255
Other comprehensive (loss) income:
Foreign currency translation adjustments	(16,304)	28,048	(31,351)	14,044
Comprehensive income	$ 69,038	$ 103,675	$ 220,105	$ 232,299

CONDENSED CONSOLIDATED STATEM_3

CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS (Unaudited) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020
Cash flows from operating activities:
Net income	$ 251,456	$ 218,255
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and intangible assets amortization	80,500	62,197
Operating lease right-of-use assets expense	16,896	15,336
Deferred income tax benefit	(22,459)	(22,627)
Provision for bad debts	827	5,799
Stock-based compensation expense	122,148	103,256
Gain on equity investment	(15,139)	0
Other	1,940	2,294
Changes in operating assets and liabilities:
Accounts receivable	86,098	62,184
Other receivables and current assets	57,992	12,735
Other long-term assets	(2,548)	(12,341)
Accounts payable, accrued expenses and current liabilities	(58,520)	(76,517)
Accrued income taxes	(18,997)	22,010
Deferred revenue	(46,467)	(29,978)
Other long-term liabilities	(5,898)	10,940
Net cash provided by operating activities	447,829	373,543
Cash flows from investing activities:
Acquisitions, net of cash acquired	(105,141)	(100,194)
Capital expenditures	(18,133)	(24,195)
Other investing activities	(382)	(6,201)
Net cash used in investing activities	(123,656)	(130,590)
Cash flows from financing activities:
Principal payments on long-term debt	(45,000)	(75,000)
Purchase of treasury stock	(35,993)	(161,029)
Restricted stock withholding taxes paid in lieu of issued shares	(92,143)	(66,774)
Proceeds from shares issued for stock-based compensation	26,321	26,957
Other financing activities	(50)	0
Net cash used in financing activities	(146,865)	(275,846)
Effect of exchange rate fluctuations on cash and cash equivalents	(9,142)	5,540
Net increase (decrease) in cash and cash equivalents	168,166	(27,353)
Cash and cash equivalents, beginning of period	912,672	872,094
Cash and cash equivalents, end of period	1,080,838	844,741
Supplemental disclosure of cash flow information:
Income taxes paid	59,973	35,576
Interest paid	$ 8,721	$ 9,985

CONDENSED CONSOLIDATED STATEM_4

CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY (Unaudited) - USD ($) shares in Thousands, $ in Thousands	Total	Analytical Graphics, Inc.	Livermore Software Technology Corporation	Common Stock	Common StockAnalytical Graphics, Inc.	Additional Paid-In Capital	Additional Paid-In CapitalAnalytical Graphics, Inc.	Additional Paid-In CapitalLivermore Software Technology Corporation	Retained Earnings	Treasury Stock	Treasury StockAnalytical Graphics, Inc.	Treasury StockLivermore Software Technology Corporation	Accumulated Other Comprehensive (Loss)/Income
Beginning balance at Dec. 31, 2019	$ 3,453,379			$ 946		$ 1,188,939			$ 3,370,706	$ (1,041,831)			$ (65,381)
Beginning balance, shares at Dec. 31, 2019				94,628						8,893
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Treasury shares acquired	(161,029)									$ (161,029)
Treasury shares acquired, shares										690
Stock-based compensation activity	(21,772)					(70,769)				$ 48,997
Stock-based compensation activity, shares										(541)
Other comprehensive (loss)/income	(24,292)												(24,292)
Net income	46,064								46,064
Ending balance at Mar. 31, 2020	3,292,350			$ 946		1,118,170			3,416,770	$ (1,153,863)			(89,673)
Ending balance, shares at Mar. 31, 2020				94,628						9,042
Beginning balance at Dec. 31, 2019	3,453,379			$ 946		1,188,939			3,370,706	$ (1,041,831)			(65,381)
Beginning balance, shares at Dec. 31, 2019				94,628						8,893
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Treasury shares acquired	$ (161,029)
Treasury shares acquired, shares	690
Net income	$ 218,255
Ending balance at Sep. 30, 2020	3,589,613			$ 946		1,182,127			3,588,961	$ (1,131,084)			(51,337)
Ending balance, shares at Sep. 30, 2020				94,628						8,774
Beginning balance at Mar. 31, 2020	3,292,350			$ 946		1,118,170			3,416,770	$ (1,153,863)			(89,673)
Beginning balance, shares at Mar. 31, 2020				94,628						9,042
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Acquisition activity			$ 1,531					$ 1,030				$ 501
Acquisition activity, treasury shares												(6)
Stock-based compensation activity	37,315					24,993				$ 12,322
Stock-based compensation activity, shares										(146)
Other comprehensive (loss)/income	10,288												10,288
Net income	96,564								96,564
Ending balance at Jun. 30, 2020	3,438,048			$ 946		1,144,193			3,513,334	$ (1,141,040)			(79,385)
Ending balance, shares at Jun. 30, 2020				94,628						8,890
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock-based compensation activity	47,890					37,934				$ 9,956
Stock-based compensation activity, shares										(116)
Other comprehensive (loss)/income	28,048												28,048
Net income	75,627								75,627
Ending balance at Sep. 30, 2020	3,589,613			$ 946		1,182,127			3,588,961	$ (1,131,084)			(51,337)
Ending balance, shares at Sep. 30, 2020				94,628						8,774
Beginning balance at Dec. 31, 2020	4,097,872			$ 953		1,434,203			3,804,593	$ (1,124,102)			(17,775)
Beginning balance, shares at Dec. 31, 2020				95,266						8,694
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock-based compensation activity	(39,037)					(87,602)				$ 48,565
Stock-based compensation activity, shares										(565)
Other comprehensive (loss)/income	(19,264)												(19,264)
Net income	72,398								72,398
Ending balance at Mar. 31, 2021	4,111,969			$ 953		1,346,601			3,876,991	$ (1,075,537)			(37,039)
Ending balance, shares at Mar. 31, 2021				95,266						8,129
Beginning balance at Dec. 31, 2020	4,097,872			$ 953		1,434,203			3,804,593	$ (1,124,102)			(17,775)
Beginning balance, shares at Dec. 31, 2020				95,266						8,694
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Treasury shares acquired	$ (35,993)
Treasury shares acquired, shares	97
Net income	$ 251,456
Ending balance at Sep. 30, 2021	4,339,244			$ 953		1,428,419			4,056,049	$ (1,097,051)			(49,126)
Ending balance, shares at Sep. 30, 2021				95,267						8,055
Beginning balance at Mar. 31, 2021	4,111,969			$ 953		1,346,601			3,876,991	$ (1,075,537)			(37,039)
Beginning balance, shares at Mar. 31, 2021				95,266						8,129
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Acquisition activity		$ 328					$ 328
Acquisition activity, common shares					1
Stock-based compensation activity	39,988					34,661				$ 5,327
Stock-based compensation activity, shares										(63)
Other comprehensive (loss)/income	4,217												4,217
Net income	93,716								93,716
Ending balance at Jun. 30, 2021	4,250,218			$ 953		1,381,590			3,970,707	$ (1,070,210)			(32,822)
Ending balance, shares at Jun. 30, 2021				95,267						8,066
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Acquisition activity		$ 606					$ 454				$ 152
Acquisition activity, treasury shares											(2)
Treasury shares acquired	(35,993)									$ (35,993)
Treasury shares acquired, shares										97
Stock-based compensation activity	55,375					46,375				$ 9,000
Stock-based compensation activity, shares										(106)
Other comprehensive (loss)/income	(16,304)												(16,304)
Net income	85,342								85,342
Ending balance at Sep. 30, 2021	$ 4,339,244			$ 953		$ 1,428,419			$ 4,056,049	$ (1,097,051)			$ (49,126)
Ending balance, shares at Sep. 30, 2021				95,267						8,055

Organization

Organization	9 Months Ended
	Sep. 30, 2021
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Organization	Organization ANSYS, Inc. (Ansys, we, us, our) develops and globally markets engineering simulation software and services widely used by engineers, designers, researchers and students across a broad spectrum of industries and academia, including aerospace and defense, automotive, electronics, semiconductors, energy, turbomachinery, consumer products, and healthcare. 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.

Accounting Policies

Accounting Policies	9 Months Ended
	Sep. 30, 2021
Accounting Policies [Abstract]
Accounting Policies	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, 2020 (2020 Form 10-K). The condensed consolidated December 31, 2020 balance sheet presented is derived from the audited December 31, 2020 balance sheet included in the 2020 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, 2021 are not necessarily indicative of the results that may be expected for any future period. Recently Adopted Accounting Guidance Income taxes: In December 2019, the Financial Accounting Standards Board (FASB) issued Accounting Standards Update (ASU) No. 2019-12, Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes (ASU 2019-12), as part of its initiative to reduce complexity in the accounting standards. The amendments in ASU 2019-12 eliminated certain exceptions related to the approach for intraperiod tax allocation, the methodology for calculating income taxes in an interim period and the recognition of deferred tax liabilities for outside basis differences. ASU 2019-12 also clarified and simplified other aspects of the accounting for income taxes. We adopted ASU 2019-12 on January 1, 2021 with no material impact to our condensed consolidated financial statements. 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, 2021 December 31, 2020 (in thousands, except percentages) Amount % of Total Amount % of Total Cash accounts $ 960,228 88.8 $ 571,587 62.6 Money market funds 120,610 11.2 341,085 37.4 Total $ 1,080,838 $ 912,672 Our money market fund balances are held in various funds of two issuers.

Revenue from Contracts with Cus

Revenue from Contracts with Customers	9 Months Ended
	Sep. 30, 2021
Revenue from Contract with Customer [Abstract]
Revenue from Contracts with Customers	Revenue from Contracts with Customers Disaggregation of Revenue The following table summarizes revenue: Three Months Ended Nine Months Ended (in thousands, except percentages) September 30, September 30, September 30, September 30, Revenue: Lease licenses $ 120,516 $ 78,917 $ 315,387 $ 237,000 Perpetual licenses 79,878 62,705 232,433 161,793 Software licenses 200,394 141,622 547,820 398,793 Maintenance 223,872 211,942 655,843 615,609 Service 16,902 13,401 47,385 43,209 Maintenance and service 240,774 225,343 703,228 658,818 Total revenue $ 441,168 $ 366,965 $ 1,251,048 $ 1,057,611 Direct revenue, as a percentage of total revenue 74.4 % 74.9 % 74.0 % 75.7 % Indirect revenue, as a percentage of total revenue 25.6 % 25.1 % 26.0 % 24.3 % Our software license revenue is recognized up front, while maintenance and service revenue is generally recognized over the term of the contract. 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, 2021 and 2020 were as follows: (in thousands) 2021 2020 Beginning balance – January 1 $ 388,810 $ 365,274 Acquired deferred revenue 746 1,405 Deferral of revenue 1,202,547 1,025,057 Recognition of revenue (1,251,048) (1,057,611) Currency translation (8,591) 4,307 Ending balance – September 30 $ 332,464 $ 338,432 Total revenue allocated to remaining performance obligations as of September 30, 2021 will be recognized as revenue as follows: (in thousands) Next 12 months $ 575,771 Months 13-24 171,906 Months 25-36 93,487 Thereafter 58,331 Total revenue allocated to remaining performance obligations $ 899,495

Acquisitions

Acquisitions	9 Months Ended
	Sep. 30, 2021
Business Combinations [Abstract]
Acquisitions	Acquisitions During the nine months ended September 30, 2021 we completed several acquisitions to expand our solution offerings and enhance our customers' experience. The effects of the acquisitions were not material to our condensed consolidated results of operations individually or in the aggregate. The combined purchase price of the acquisitions during the nine months ended September 30, 2021 was approximately $110.7 million, which was paid in cash. The assets and liabilities of the acquisitions have been recorded based upon management's estimates of their 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 acquisitions at each respective date of acquisition: Fair Value of Consideration Transferred: (in thousands) Cash $ 110,739 Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed: (in thousands) Cash $ 4,320 Accounts receivable and other tangible assets 3,013 Developed software and core technologies (11 year weighted-average life) 32,200 Customer lists (7 year weighted-average life) 2,300 Trade names (10 year weighted-average life) 1,000 Accounts payable and other liabilities (2,852) Deferred revenue (746) Net deferred tax liabilities (7,311) Total identifiable net assets $ 31,924 Goodwill $ 78,815 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 values of the assets acquired and liabilities assumed are based on preliminary calculations. The estimates and assumptions for these items are subject to change as additional information about what was known and knowable at each respective acquisition date is obtained during the measurement period (up to one year from the acquisition date). On December 1, 2020, we acquired 100% of the shares of Analytical Graphics, Inc. (AGI), a premier provider of mission-simulation, modeling, testing and analysis software for aerospace, defense and intelligence applications. The acquisition expands the scope of our offerings, empowering users to solve challenges by simulating from the chip level all the way to a customer's entire mission. The purchase price was approximately $720.6 million, inclusive of net working capital adjustments. On April 1, 2020, we acquired 100% of the shares of Lumerical Inc. (Lumerical), a leading developer of photonic design and simulation tools, for a purchase price of approximately $107.5 million, which was paid in cash. The acquisition adds best-in-class photonic products to our multiphysics portfolio, providing customers with a full set of solutions to solve their next-generation product challenges. The 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 acquisition of Zemax, LLC (Zemax).

Other Receivables and Current A

Other Receivables and Current Assets and Other Accrued Expenses and Liabilities	9 Months Ended
	Sep. 30, 2021
Other Receivables and Current Assets and Other Accrued Expenses and Liabilities [Abstract]
Other Receivables and Current Assets and Other Accrued Expenses and Liabilities	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) September 30, December 31, Receivables related to unrecognized revenue $ 119,073 $ 192,154 Income taxes receivable, including overpayments and refunds 29,947 31,628 Prepaid expenses and other current assets 50,471 44,740 Total other receivables and current assets $ 199,491 $ 268,522 Accrued vacation 38,396 34,132 Consumption, VAT and sales tax liabilities 26,123 45,156 Accrued expenses and other current liabilities 113,729 120,178 Total other accrued expenses and liabilities $ 178,248 $ 199,466 Receivables related to unrecognized revenue represent the current portion of billings made for customer contracts that have not yet been recognized as revenue.

Earnings Per Share

Earnings Per Share	9 Months Ended
	Sep. 30, 2021
Earnings Per Share [Abstract]
Earnings Per Share	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 Ended Nine Months Ended (in thousands, except per share data) September 30, September 30, September 30, September 30, Net income $ 85,342 $ 75,627 $ 251,456 $ 218,255 Weighted average shares outstanding – basic 87,239 85,798 87,072 85,749 Dilutive effect of stock plans 930 1,426 997 1,427 Weighted average shares outstanding – diluted 88,169 87,224 88,069 87,176 Basic earnings per share $ 0.98 $ 0.88 $ 2.89 $ 2.55 Diluted earnings per share $ 0.97 $ 0.87 $ 2.86 $ 2.50 Anti-dilutive shares 32 30 30 28

Goodwill and Intangible Assets

Goodwill and Intangible Assets	9 Months Ended
	Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]
Goodwill and Intangible Assets	Goodwill and Intangible Assets Intangible assets are classified as follows: September 30, 2021 December 31, 2020 (in thousands) Gross Accumulated Gross Accumulated Finite-lived intangible assets: Developed software and core technologies $ 887,926 $ (409,288) $ 859,620 $ (370,338) Customer lists 194,047 (54,546) 288,085 (136,093) Trade names 175,785 (127,013) 175,626 (122,392) Total $ 1,257,758 $ (590,847) $ 1,323,331 $ (628,823) Indefinite-lived intangible asset: Trade name $ 357 $ 357 Finite-lived intangible assets are amortized over their estimated useful lives of two years to seventeen years. Amortization expense for the intangible assets reflected above was $18.6 million and $14.1 million for the three months ended September 30, 2021 and 2020, respectively. Amortization expense for the intangible assets reflected above was $57.4 million and $41.8 million for the nine months ended September 30, 2021 and 2020, respectively As of September 30, 2021, estimated future amortization expense for the intangible assets reflected above was as follows: (in thousands) Remainder of 2021 $ 18,000 2022 78,125 2023 80,348 2024 79,784 2025 77,509 2026 75,325 Thereafter 257,820 Total intangible assets subject to amortization 666,911 Indefinite-lived trade name 357 Other intangible assets, net $ 667,268 The changes in goodwill during the nine months ended September 30, 2021 and 2020 were as follows: (in thousands) 2021 2020 Beginning balance – January 1 $ 3,038,306 $ 2,413,280 Acquisitions and adjustments (1) 79,905 69,598 Currency translation (16,588) 8,712 Ending balance – September 30 $ 3,101,623 $ 2,491,590 (1) In accordance with the accounting for business combinations, we recorded adjustments to goodwill for the effect of changes in the provisional fair values of the assets acquired and liabilities assumed during the measurement period (up to one year from the acquisition date) as we obtained new information about facts and circumstances that existed as of the acquisition date that, if known, would have affected the measurement of the amounts recognized as of that date. During the first quarter of 2021, we completed the annual impairment test for goodwill and the indefinite-lived intangible asset and determined that these assets had not been impaired as of the test date, January 1, 2021. No other events or circumstances changed during the nine months ended September 30, 2021 that would indicate that the fair values of our reporting unit and indefinite-lived intangible asset are below their carrying amounts.

Fair Value Measurement

Fair Value Measurement	9 Months Ended
	Sep. 30, 2021
Fair Value Disclosures [Abstract]
Fair Value Measurement	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 long-term debt is classified within Level 2 of the fair value hierarchy because these borrowings are not actively traded and have a variable interest rate structure based upon market rates. The carrying amount of our long-term debt approximates the estimated fair value. See Note 10, "Debt", for additional information on our borrowings. The following tables provide the assets carried at fair value and measured on a recurring basis: Fair Value Measurements at Reporting Date Using: (in thousands) September 30, Quoted Prices in Significant Other Significant Assets Cash equivalents $ 120,610 $ 120,610 $ — $ — Short-term investments $ 527 $ — $ 527 $ — Deferred compensation plan investments $ 1,602 $ 1,602 $ — $ — Equity securities $ 2,642 $ 2,642 $ — $ — Fair Value Measurements at Reporting Date Using: (in thousands) December 31, 2020 Quoted Prices in Significant Other Significant Assets Cash equivalents $ 341,085 $ 341,085 $ — $ — Short-term investments $ 479 $ — $ 479 $ — Deferred compensation plan investments $ 1,602 $ 1,602 $ — $ — The cash equivalents in the preceding tables represent money market funds, valued at net asset value, with carrying values which approximate their fair values because of their short-term nature. The short-term investments in the preceding tables represent deposits held by certain foreign subsidiaries. The deposits have fixed interest rates with original maturities ranging from three months to one year. The deferred compensation plan investments in the preceding tables represent trading securities held in a rabbi trust for the benefit of non-employee directors. 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.

Leases

Leases	9 Months Ended
	Sep. 30, 2021
Leases [Abstract]
Leases	Leases Our right-of-use (ROU) 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. 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 Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, Lease liability cost $ 7,139 $ 6,206 $ 21,278 $ 18,704 Variable lease cost not included in the lease liability (1) 1,017 1,033 3,203 3,354 Total lease cost $ 8,156 $ 7,239 $ 24,481 $ 22,058 (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 Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, Cash paid for amounts included in the measurement of the lease liability: Operating cash flows from operating leases $ (7,217) $ (5,921) $ (21,183) $ (17,322) Right-of-use assets obtained in exchange for new operating lease liabilities 1,301 1,076 6,895 21,319 As of September 30, 2021 2020 Weighted-average remaining lease term of operating leases 6.7 years 7.5 years Weighted-average discount rate of operating leases 3.0 % 3.3 % The maturity schedule of the operating lease liabilities as of September 30, 2021 is as follows: (in thousands) Remainder of 2021 $ 7,188 2022 25,964 2023 20,393 2024 18,956 2025 17,727 Thereafter 50,382 Total future lease payments 140,610 Less: Present value adjustment (14,053) Present value of future lease payments (1) $ 126,557 (1) Includes the current portion of operating lease liabilities of $23.7 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, 2021.

Debt

Debt	9 Months Ended
	Sep. 30, 2021
Debt Disclosure [Abstract]
Debt	Debt In February 2019, we entered into a credit agreement for a $500.0 million unsecured revolving credit facility, which includes a $50.0 million sublimit for the issuance of letters of credit (Revolving Credit Facility), with Bank of America, N.A. as the Administrative Agent. The Revolving Credit Facility becomes payable in full on February 22, 2024 and is available for general corporate purposes, including, among others, to finance acquisitions and capital expenditures. The Revolving Credit Facility had not been utilized as of September 30, 2021. We amended our credit agreement (Amended Credit Agreement) on October 16, 2019. The amendment provided for a new $500.0 million unsecured term loan facility to finance our acquisition of Livermore Software Technology (LST) in the fourth quarter of 2019. The term loan was funded on November 1, 2019 and matures on November 1, 2024. Principal on the term loan will be payable on the last business day of each fiscal quarter commencing with the ninth full fiscal quarter after the funding date at a rate of 1.25% per quarter, increasing to 2.50% per quarter after the next four fiscal quarters. We repaid $75.0 million of the unsecured term loan balance in January 2020 prior to the scheduled maturity dates in 2022 ($25.0 million) and 2023 ($50.0 million). In June 2021, we repaid $26.0 million of the unsecured term loan balance prior to the scheduled maturity date in 2024. In connection with the acquisition of AGI, we entered into a credit agreement (AGI Credit Agreement) on November 9, 2020, with Bank of America, N.A. as the Administrative Agent. The AGI Credit Agreement provided for a new $375.0 million unsecured term loan facility to finance a portion of the cash consideration for the acquisition. The term loan was funded on December 1, 2020 and matures on November 1, 2024. Principal on the term loan will be payable on the last business day of each fiscal quarter commencing with the fifth full fiscal quarter after the funding date at a rate of 1.25% per quarter, increasing to 2.50% per quarter after the next four fiscal quarters. We repaid $19.0 million of the unsecured term loan balance in June 2021 prior to the scheduled maturity dates in 2022 ($18.8 million) and 2023 ($0.2 million). Borrowings under the Amended Credit Agreement and the AGI Credit Agreement (collectively, the Credit Agreements) accrue interest at the Eurodollar rate plus an applicable margin or at the base rate, at our election. For the quarter ended September 30, 2021, we elected to apply the Eurodollar rate. The base rate is the applicable margin plus the highest of (i) the federal funds rate plus 0.500%, (ii) the Bank of America prime rate and (iii) the Eurodollar rate plus 1.000%. The applicable margin for these borrowings is a percentage per annum based on the lower of (1) a pricing level determined by our then-current consolidated leverage ratio and (2) a pricing level determined by our debt ratings (if such debt ratings exist). This results in a margin ranging from 1.125% to 1.750% and 0.125% to 0.750% for the Eurodollar rate and base rate, respecti vely. The weighted average interest rate in effect during each of the three and nine months ended September 30, 2021 was 1.33% and 1.41%, respectively. As of September 30, 2021, the rate in effect for the Credit Agreements was 1.26%. The Credit Agreements contain language in the event the Eurodollar rate is not available due to LIBOR changes. If this occurs, the base rate will be used for borrowings. However, we may work with the Administrative Agent to amend the Credit Agreements to replace the Eurodollar rate with (i) one or more rates based on the Secured Overnight Financing Rate (SOFR); or (ii) another alternative benchmark rate, subject to the lenders' approval. The Credit Agreements contain customary representations and warranties, affirmative and negative covenants and events of default. The Credit Agreements also each contain a financial covenant requiring us to maintain a consolidated leverage ratio of indebtedness to earnings before interest, taxes, depreciation and amortization not exceeding 3.50 to 1.00 as of the end of any fiscal quarter (for the four-quarter period ending on such date) with an opportunity for a temporary increase in such consolidated leverage ratio to 4.00 to 1.00 upon the consummation of certain qualified acquisitions for which the aggregate consideration is at least $250.0 million. As of September 30, 2021 and December 31, 2020, the carrying values of the term loans were $753.5 million, which is net of $1.5 million of unamortized debt issuance costs, and $798.1 million, which is net of $1.9 million of unamortized debt issuance costs, respectively. We were in compliance with all covenants as of September 30, 2021 and December 31, 2020.

Income Taxes

Income Taxes	9 Months Ended
	Sep. 30, 2021
Income Tax Disclosure [Abstract]
Income Taxes	Income Taxes Our income before income tax provision, income tax provision and effective tax rates were as follows: Three Months Ended Nine Months Ended (in thousands, except percentages) September 30, September 30, September 30, September 30, Income before income tax provision $ 103,898 $ 90,144 $ 280,381 $ 236,053 Income tax provision 18,556 14,517 28,925 17,798 Effective tax rate 17.9 % 16.1 % 10.3 % 7.5 % Tax expense for the nine months ended September 30, 2021 and 2020 benefited due to increased stock compensation benefits, many of which were recognized discretely in the first quarter of each year. These benefits were partially offset by an increase in non-deductible compensation in 2021.

Stock Repurchase Program

Stock Repurchase Program	9 Months Ended
	Sep. 30, 2021
Class of Stock Disclosures [Abstract]
Stock Repurchase Program	Stock Repurchase Program Under our stock repurchase program, we repurchased shares as follows: Nine Months Ended (in thousands, except per share data) September 30, September 30, Number of shares repurchased 97 690 Average price paid per share $ 371.83 $ 233.48 Total cost $ 35,993 $ 161,029

Stock-Based Compensation

Stock-Based Compensation	9 Months Ended
	Sep. 30, 2021
Share-based Payment Arrangement [Abstract]
Stock-Based Compensation	Stock-Based CompensationOn May 14, 2021, our stockholders approved the ANSYS, Inc. 2021 Equity and Incentive Compensation Plan (the 2021 Plan). The 2021 Plan is a long-term incentive plan pursuant to which awards may be granted to directors, officers, other employees and certain consultants of Ansys and its subsidiaries. These awards include stock option rights, stock appreciation rights, restricted stock, restricted stock units, cash incentives, performance shares, performance units and other awards. The 2021 Plan authorizes 4.4 million shares of common stock for issuance, plus 1.6 million shares that remained available for issuance under the Fifth Amended and Restated ANSYS, Inc. 1996 Stock Option and Grant Plan (the Predecessor Plan) as of the effective date of the 2021 Plan plus any shares relating to the outstanding awards under the Predecessor Plan or the 2021 Plan that are subsequently forfeited. As of the effective date of the 2021 Plan, grants are no longer made under the Predecessor Plan. Total stock-based compensation expense and its net impact on basic and diluted earnings per share are as follows: Three Months Ended Nine Months Ended (in thousands, except per share data) September 30, September 30, September 30, September 30, Cost of sales: Maintenance and service $ 2,753 $ 3,626 $ 9,834 $ 9,956 Operating expenses: Selling, general and administrative 25,420 18,954 66,158 50,417 Research and development 15,971 15,605 46,156 42,883 Stock-based compensation expense before taxes 44,144 38,185 122,148 103,256 Related income tax benefits (10,743) (10,060) (62,151) (46,849) Stock-based compensation expense, net of taxes $ 33,401 $ 28,125 $ 59,997 $ 56,407 Net impact on earnings per share: Basic earnings per share $ (0.38) $ (0.33) $ (0.69) $ (0.66) Diluted earnings per share $ (0.38) $ (0.32) $ (0.68) $ (0.65)

Geographic Information

Geographic Information	9 Months Ended
	Sep. 30, 2021
Segments, Geographical Areas [Abstract]
Geographic Information	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 Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, United States $ 208,998 $ 156,663 $ 570,101 $ 465,919 Japan 45,298 40,565 147,511 133,773 Germany 27,826 27,677 89,781 85,048 South Korea 22,364 21,083 67,853 54,105 China 26,677 17,414 62,934 42,016 United Kingdom 19,441 26,595 45,894 46,334 Other Europe, Middle East and Africa (EMEA) 54,365 52,244 174,189 151,898 Other international 36,199 24,724 92,785 78,518 Total revenue $ 441,168 $ 366,965 $ 1,251,048 $ 1,057,611 Property and equipment by geographic area is as follows: (in thousands) September 30, December 31, United States $ 64,740 $ 65,633 India 6,002 7,408 Germany 4,730 5,277 France 4,581 5,749 Other EMEA 5,027 5,847 Other international 5,713 6,589 Total property and equipment, net $ 90,793 $ 96,503

Contingencies and Commitments

Contingencies and Commitments	9 Months Ended
	Sep. 30, 2021
Commitments and Contingencies Disclosure [Abstract]
Contingencies and Commitments	Contingencies and Commitments We are subject to various investigations, claims and legal proceedings that arise in the ordinary course of business, including commercial disputes, labor and employment matters, tax audits, alleged infringement of third party's 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 results of operations, cash flows or financial position. Our Indian subsidiary has several service tax audits pending that have resulted in formal inquiries being received on transactions through mid-2012. We could incur tax charges and related liabilities of approximately $7.4 million. As such charges are not probable at this time, a reserve has not been recorded on the condensed consolidated balance sheet as of September 30, 2021. The service tax issues raised in our notices and inquiries are very similar to the case, M/s Microsoft Corporation (I) (P) Ltd. Vs. Commissioner of Service Tax, New Delhi, wherein the Delhi Customs, Excise and Service Tax Appellate Tribunal (CESTAT) issued a favorable ruling to Microsoft. The Microsoft ruling was subsequently challenged in the Supreme Court by the Indian tax authority and a decision is still pending. We can provide no assurances on the impact that the present Microsoft case's decision will have on our cases, however, an unfavorable ruling in the Microsoft case may impact our assessment of probability and result in the recording of a $7.4 million reserve. We are uncertain as to when these service tax matters will be concluded. We sell software licenses and services to our customers under contractual agreements. Such agreements generally include certain provisions indemnifying the customer against claims, 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.

Subsequent Event

Subsequent Event	9 Months Ended
	Sep. 30, 2021
Subsequent Events [Abstract]
Subsequent Event	Subsequent EventOn 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 expands the scope of our optical and photonics simulation portfolio by giving users comprehensive solutions that could drive innovation in healthcare, autonomy, consumer electronics and the industrial internet of things (IIoT). 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 amounts recognized as of the acquisition date for the major classes of assets acquired and liabilities assumed.

Accounting Policies (Policies)

Accounting Policies (Policies)	9 Months Ended
	Sep. 30, 2021
Accounting Policies [Abstract]
Basis of Presentation	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, 2020 (2020 Form 10-K). The condensed consolidated December 31, 2020 balance sheet presented is derived from the audited December 31, 2020 balance sheet included in the 2020 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, 2021 are not necessarily indicative of the results that may be expected for any future period.
Changes in Accounting Policies	Recently Adopted Accounting Guidance Income taxes: In December 2019, the Financial Accounting Standards Board (FASB) issued Accounting Standards Update (ASU) No. 2019-12, Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes (ASU 2019-12), as part of its initiative to reduce complexity in the accounting standards. The amendments in ASU 2019-12 eliminated certain exceptions related to the approach for intraperiod tax allocation, the methodology for calculating income taxes in an interim period and the recognition of deferred tax liabilities for outside basis differences. ASU 2019-12 also clarified and simplified other aspects of the accounting for income taxes. We adopted ASU 2019-12 on January 1, 2021 with no material impact to our condensed consolidated financial statements.
Cash and Cash Equivalents	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, 2021 December 31, 2020 (in thousands, except percentages) Amount % of Total Amount % of Total Cash accounts $ 960,228 88.8 $ 571,587 62.6 Money market funds 120,610 11.2 341,085 37.4 Total $ 1,080,838 $ 912,672 Our money market fund balances are held in various funds of two issuers.

Accounting Policies (Tables)

Accounting Policies (Tables)	9 Months Ended
	Sep. 30, 2021
Accounting Policies [Abstract]
Cash and Cash Equivalents	Our cash and cash equivalents balances comprise the following: September 30, 2021 December 31, 2020 (in thousands, except percentages) Amount % of Total Amount % of Total Cash accounts $ 960,228 88.8 $ 571,587 62.6 Money market funds 120,610 11.2 341,085 37.4 Total $ 1,080,838 $ 912,672

Revenue from Contracts with C_2

Revenue from Contracts with Customers (Tables)	9 Months Ended
	Sep. 30, 2021
Revenue from Contract with Customer [Abstract]
Disaggregation of Revenue	The following table summarizes revenue: Three Months Ended Nine Months Ended (in thousands, except percentages) September 30, September 30, September 30, September 30, Revenue: Lease licenses $ 120,516 $ 78,917 $ 315,387 $ 237,000 Perpetual licenses 79,878 62,705 232,433 161,793 Software licenses 200,394 141,622 547,820 398,793 Maintenance 223,872 211,942 655,843 615,609 Service 16,902 13,401 47,385 43,209 Maintenance and service 240,774 225,343 703,228 658,818 Total revenue $ 441,168 $ 366,965 $ 1,251,048 $ 1,057,611 Direct revenue, as a percentage of total revenue 74.4 % 74.9 % 74.0 % 75.7 % Indirect revenue, as a percentage of total revenue 25.6 % 25.1 % 26.0 % 24.3 %
Changes in Deferred Revenue	The changes in deferred revenue, inclusive of both current and long-term deferred revenue, during the nine months ended September 30, 2021 and 2020 were as follows: (in thousands) 2021 2020 Beginning balance – January 1 $ 388,810 $ 365,274 Acquired deferred revenue 746 1,405 Deferral of revenue 1,202,547 1,025,057 Recognition of revenue (1,251,048) (1,057,611) Currency translation (8,591) 4,307 Ending balance – September 30 $ 332,464 $ 338,432
Remaining Performance Obligations, Expected Timing of Satisfaction	Total revenue allocated to remaining performance obligations as of September 30, 2021 will be recognized as revenue as follows: (in thousands) Next 12 months $ 575,771 Months 13-24 171,906 Months 25-36 93,487 Thereafter 58,331 Total revenue allocated to remaining performance obligations $ 899,495

Acquisitions (Tables)

Acquisitions (Tables)	9 Months Ended
	Sep. 30, 2021
Business Combinations [Abstract]
Fair Value of Consideration Transferred	Fair Value of Consideration Transferred: (in thousands) Cash $ 110,739
Schedule of Recognized Amounts of Identified Assets Acquired and Liabilities Assumed	Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed: (in thousands) Cash $ 4,320 Accounts receivable and other tangible assets 3,013 Developed software and core technologies (11 year weighted-average life) 32,200 Customer lists (7 year weighted-average life) 2,300 Trade names (10 year weighted-average life) 1,000 Accounts payable and other liabilities (2,852) Deferred revenue (746) Net deferred tax liabilities (7,311) Total identifiable net assets $ 31,924 Goodwill $ 78,815

Other Receivables and Current_2

Other Receivables and Current Assets and Other Accrued Expenses and Liabilities (Tables)	9 Months Ended
	Sep. 30, 2021
Other Receivables and Current Assets and Other Accrued Expenses and Liabilities [Abstract]
Schedule of 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) September 30, December 31, Receivables related to unrecognized revenue $ 119,073 $ 192,154 Income taxes receivable, including overpayments and refunds 29,947 31,628 Prepaid expenses and other current assets 50,471 44,740 Total other receivables and current assets $ 199,491 $ 268,522 Accrued vacation 38,396 34,132 Consumption, VAT and sales tax liabilities 26,123 45,156 Accrued expenses and other current liabilities 113,729 120,178 Total other accrued expenses and liabilities $ 178,248 $ 199,466

Earnings Per Share (Tables)

Earnings Per Share (Tables)	9 Months Ended
	Sep. 30, 2021
Earnings Per Share [Abstract]
Details of Basic and Diluted EPS	The details of basic and diluted EPS are as follows: Three Months Ended Nine Months Ended (in thousands, except per share data) September 30, September 30, September 30, September 30, Net income $ 85,342 $ 75,627 $ 251,456 $ 218,255 Weighted average shares outstanding – basic 87,239 85,798 87,072 85,749 Dilutive effect of stock plans 930 1,426 997 1,427 Weighted average shares outstanding – diluted 88,169 87,224 88,069 87,176 Basic earnings per share $ 0.98 $ 0.88 $ 2.89 $ 2.55 Diluted earnings per share $ 0.97 $ 0.87 $ 2.86 $ 2.50 Anti-dilutive shares 32 30 30 28

Goodwill and Intangible Assets

Goodwill and Intangible Assets (Tables)	9 Months Ended
	Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]
Intangible Assets (Indefinite-Lived)	Intangible assets are classified as follows: September 30, 2021 December 31, 2020 (in thousands) Gross Accumulated Gross Accumulated Finite-lived intangible assets: Developed software and core technologies $ 887,926 $ (409,288) $ 859,620 $ (370,338) Customer lists 194,047 (54,546) 288,085 (136,093) Trade names 175,785 (127,013) 175,626 (122,392) Total $ 1,257,758 $ (590,847) $ 1,323,331 $ (628,823) Indefinite-lived intangible asset: Trade name $ 357 $ 357
Intangible Assets (Finite-Lived)	Intangible assets are classified as follows: September 30, 2021 December 31, 2020 (in thousands) Gross Accumulated Gross Accumulated Finite-lived intangible assets: Developed software and core technologies $ 887,926 $ (409,288) $ 859,620 $ (370,338) Customer lists 194,047 (54,546) 288,085 (136,093) Trade names 175,785 (127,013) 175,626 (122,392) Total $ 1,257,758 $ (590,847) $ 1,323,331 $ (628,823) Indefinite-lived intangible asset: Trade name $ 357 $ 357
Estimated Future Amortization Expense for Intangible Assets	As of September 30, 2021, estimated future amortization expense for the intangible assets reflected above was as follows: (in thousands) Remainder of 2021 $ 18,000 2022 78,125 2023 80,348 2024 79,784 2025 77,509 2026 75,325 Thereafter 257,820 Total intangible assets subject to amortization 666,911 Indefinite-lived trade name 357 Other intangible assets, net $ 667,268
Changes in Goodwill	The changes in goodwill during the nine months ended September 30, 2021 and 2020 were as follows: (in thousands) 2021 2020 Beginning balance – January 1 $ 3,038,306 $ 2,413,280 Acquisitions and adjustments (1) 79,905 69,598 Currency translation (16,588) 8,712 Ending balance – September 30 $ 3,101,623 $ 2,491,590 (1) In accordance with the accounting for business combinations, we recorded adjustments to goodwill for the effect of changes in the provisional fair values of the assets acquired and liabilities assumed during the measurement period (up to one year from the acquisition date) as we obtained new information about facts and circumstances that existed as of the acquisition date that, if known, would have affected the measurement of the amounts recognized as of that date.

Fair Value Measurement (Tables)

Fair Value Measurement (Tables)	9 Months Ended
	Sep. 30, 2021
Fair Value Disclosures [Abstract]
Fair Value of Assets and Liabilities Measured on Recurring Basis	The following tables provide the assets carried at fair value and measured on a recurring basis: Fair Value Measurements at Reporting Date Using: (in thousands) September 30, Quoted Prices in Significant Other Significant Assets Cash equivalents $ 120,610 $ 120,610 $ — $ — Short-term investments $ 527 $ — $ 527 $ — Deferred compensation plan investments $ 1,602 $ 1,602 $ — $ — Equity securities $ 2,642 $ 2,642 $ — $ — Fair Value Measurements at Reporting Date Using: (in thousands) December 31, 2020 Quoted Prices in Significant Other Significant Assets Cash equivalents $ 341,085 $ 341,085 $ — $ — Short-term investments $ 479 $ — $ 479 $ — Deferred compensation plan investments $ 1,602 $ 1,602 $ — $ —

Leases (Tables)

Leases (Tables)	9 Months Ended
	Sep. 30, 2021
Leases [Abstract]
Schedule of Lease Cost	The components of our global lease cost reflected in the condensed consolidated statements of income are as follows: Three Months Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, Lease liability cost $ 7,139 $ 6,206 $ 21,278 $ 18,704 Variable lease cost not included in the lease liability (1) 1,017 1,033 3,203 3,354 Total lease cost $ 8,156 $ 7,239 $ 24,481 $ 22,058 (1) Variable lease cost includes common area maintenance, property taxes, utilities and fluctuations in rent due to a change in an index or rate.
Lessee, Operating Lease Other Information	Other information related to operating leases is as follows: Three Months Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, Cash paid for amounts included in the measurement of the lease liability: Operating cash flows from operating leases $ (7,217) $ (5,921) $ (21,183) $ (17,322) Right-of-use assets obtained in exchange for new operating lease liabilities 1,301 1,076 6,895 21,319 As of September 30, 2021 2020 Weighted-average remaining lease term of operating leases 6.7 years 7.5 years Weighted-average discount rate of operating leases 3.0 % 3.3 %
Schedule of Maturity of Operating Lease Liabilities	The maturity schedule of the operating lease liabilities as of September 30, 2021 is as follows: (in thousands) Remainder of 2021 $ 7,188 2022 25,964 2023 20,393 2024 18,956 2025 17,727 Thereafter 50,382 Total future lease payments 140,610 Less: Present value adjustment (14,053) Present value of future lease payments (1) $ 126,557 (1) Includes the current portion of operating lease liabilities of $23.7 million, which is reflected in other accrued expenses and liabilities in the condensed consolidated balance sheets.

Income Taxes (Tables)

Income Taxes (Tables)	9 Months Ended
	Sep. 30, 2021
Income Tax Disclosure [Abstract]
Schedule of Income Tax Provision	Our income before income tax provision, income tax provision and effective tax rates were as follows: Three Months Ended Nine Months Ended (in thousands, except percentages) September 30, September 30, September 30, September 30, Income before income tax provision $ 103,898 $ 90,144 $ 280,381 $ 236,053 Income tax provision 18,556 14,517 28,925 17,798 Effective tax rate 17.9 % 16.1 % 10.3 % 7.5 %

Stock Repurchase Program (Table

Stock Repurchase Program (Tables)	9 Months Ended
	Sep. 30, 2021
Class of Stock Disclosures [Abstract]
Stock Repurchase Program	Under our stock repurchase program, we repurchased shares as follows: Nine Months Ended (in thousands, except per share data) September 30, September 30, Number of shares repurchased 97 690 Average price paid per share $ 371.83 $ 233.48 Total cost $ 35,993 $ 161,029

Stock-Based Compensation (Table

Stock-Based Compensation (Tables)	9 Months Ended
	Sep. 30, 2021
Share-based Payment Arrangement [Abstract]
Stock-Based Compensation Expense and Its Net Impact on Basic and Diluted Earnings Per Share	Total stock-based compensation expense and its net impact on basic and diluted earnings per share are as follows: Three Months Ended Nine Months Ended (in thousands, except per share data) September 30, September 30, September 30, September 30, Cost of sales: Maintenance and service $ 2,753 $ 3,626 $ 9,834 $ 9,956 Operating expenses: Selling, general and administrative 25,420 18,954 66,158 50,417 Research and development 15,971 15,605 46,156 42,883 Stock-based compensation expense before taxes 44,144 38,185 122,148 103,256 Related income tax benefits (10,743) (10,060) (62,151) (46,849) Stock-based compensation expense, net of taxes $ 33,401 $ 28,125 $ 59,997 $ 56,407 Net impact on earnings per share: Basic earnings per share $ (0.38) $ (0.33) $ (0.69) $ (0.66) Diluted earnings per share $ (0.38) $ (0.32) $ (0.68) $ (0.65)

Geographic Information (Tables)

Geographic Information (Tables)	9 Months Ended
	Sep. 30, 2021
Segments, Geographical Areas [Abstract]
Revenue by Geographic Area	Revenue by geographic area is as follows: Three Months Ended Nine Months Ended (in thousands) September 30, September 30, September 30, September 30, United States $ 208,998 $ 156,663 $ 570,101 $ 465,919 Japan 45,298 40,565 147,511 133,773 Germany 27,826 27,677 89,781 85,048 South Korea 22,364 21,083 67,853 54,105 China 26,677 17,414 62,934 42,016 United Kingdom 19,441 26,595 45,894 46,334 Other Europe, Middle East and Africa (EMEA) 54,365 52,244 174,189 151,898 Other international 36,199 24,724 92,785 78,518 Total revenue $ 441,168 $ 366,965 $ 1,251,048 $ 1,057,611
Property and Equipment by Geographic Area	Property and equipment by geographic area is as follows: (in thousands) September 30, December 31, United States $ 64,740 $ 65,633 India 6,002 7,408 Germany 4,730 5,277 France 4,581 5,749 Other EMEA 5,027 5,847 Other international 5,713 6,589 Total property and equipment, net $ 90,793 $ 96,503

Organization (Detail)

Organization (Detail)	9 Months Ended
	Sep. 30, 2021segment
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Number of operating segments	1

Accounting Policies - Cash and

Accounting Policies - Cash and Cash Equivalents (Detail) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Cash accounts, Amount	$ 960,228	$ 571,587
Money market funds, Amount	120,610	341,085
Total	$ 1,080,838	$ 912,672
Cash
Percent Of Cash And Cash Equivalents	88.80%	62.60%
Money Market Funds
Percent Of Cash And Cash Equivalents	11.20%	37.40%

Accounting Policies - Cash an_2

Accounting Policies - Cash and Cash Equivalents - Additional Information (Detail)	9 Months Ended
	Sep. 30, 2021
Money Market Funds | Money Market Fund Benchmark | Money Market Fund Concentration Risk
Cash and Cash Equivalents [Line Items]
Concentration risk, % of money market funds with two issuers	100.00%

Revenue from Contracts with C_3

Revenue from Contracts with Customers - Additional Information (Detail) - USD ($) $ in Millions	9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020
Revenue from Contract with Customer [Abstract]
Amount of revenue recognized from beginning deferred revenue and backlog	$ 507	$ 465.5

Revenue from Contracts with C_4

Revenue from Contracts with Customers - Disaggregation of Revenue (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Disaggregation of Revenue [Line Items]
Total revenue	$ 441,168	$ 366,965	$ 1,251,048	$ 1,057,611
Lease licenses
Disaggregation of Revenue [Line Items]
Total revenue	120,516	78,917	315,387	237,000
Perpetual licenses
Disaggregation of Revenue [Line Items]
Total revenue	79,878	62,705	232,433	161,793
Software licenses
Disaggregation of Revenue [Line Items]
Total revenue	200,394	141,622	547,820	398,793
Maintenance
Disaggregation of Revenue [Line Items]
Total revenue	223,872	211,942	655,843	615,609
Service
Disaggregation of Revenue [Line Items]
Total revenue	16,902	13,401	47,385	43,209
Maintenance and service
Disaggregation of Revenue [Line Items]
Total revenue	$ 240,774	$ 225,343	$ 703,228	$ 658,818
Direct revenue, as a percentage of total revenue | Revenue Benchmark | Sales Channel Concentration Risk
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	74.40%	74.90%	74.00%	75.70%
Indirect revenue, as a percentage of total revenue | Revenue Benchmark | Sales Channel Concentration Risk
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	25.60%	25.10%	26.00%	24.30%

Revenue from Contracts with C_5

Revenue from Contracts with Customers - Changes in Deferred Revenue (Detail) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020
Movement in Deferred Revenue [Roll Forward]
Beginning balance	$ 388,810	$ 365,274
Acquired deferred revenue	746	1,405
Deferral of revenue	1,202,547	1,025,057
Recognition of revenue	(1,251,048)	(1,057,611)
Currency translation	(8,591)	4,307
Ending balance	$ 332,464	$ 338,432

Revenue from Contracts with C_6

Revenue from Contracts with Customers - Remaining Performance Obligations, Expected Timing of Satisfaction (Detail) $ in Thousands	Sep. 30, 2021USD ($)
Revenue from Contract with Customer [Abstract]
Revenue, remaining performance obligation, amount	$ 899,495
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-10-01
Revenue from Contract with Customer [Abstract]
Revenue, remaining performance obligation, amount	$ 575,771
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period	12 months
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-10-01
Revenue from Contract with Customer [Abstract]
Revenue, remaining performance obligation, amount	$ 171,906
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period	12 months
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-10-01
Revenue from Contract with Customer [Abstract]
Revenue, remaining performance obligation, amount	$ 93,487
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period	12 months
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-10-01
Revenue from Contract with Customer [Abstract]
Revenue, remaining performance obligation, amount	$ 58,331
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period

Acquisitions - Additional Infor

Acquisitions - Additional Information (Detail) - USD ($) $ in Thousands	Dec. 01, 2020	Apr. 01, 2020	Sep. 30, 2021
Series of Individually Immaterial Business Acquisitions
Payments to acquire businesses, gross			$ 110,739
Analytical Graphics, Inc.
Payments to acquire businesses, gross	$ 720,600
Percentage of shares acquired	100.00%
Lumerical
Payments to acquire businesses, gross		$ 107,500
Percentage of shares acquired		100.00%

Fair Value of Consideration Tra

Fair Value of Consideration Transferred (Details) $ in Thousands	9 Months Ended
	Sep. 30, 2021USD ($)
Series of Individually Immaterial Business Acquisitions
Cash	$ 110,739

Recognized Amounts of Identifia

Recognized Amounts of Identifiable Assets Acquired and Liabilities Assumed (Details) - Series of Individually Immaterial Business Acquisitions $ in Thousands	9 Months Ended
	Sep. 30, 2021USD ($)
Cash	$ 4,320
Accounts receivable and other tangible assets	3,013
Accounts payable and other liabilities	(2,852)
Deferred revenue	(746)
Net deferred tax liabilities	(7,311)
Total identifiable net assets	31,924
Goodwill	78,815
Developed Software and Core Technologies
Finite-lived intangible assets	$ 32,200
Finite-lived intangible asset, useful life	11 years
Customer Lists
Finite-lived intangible assets	$ 2,300
Finite-lived intangible asset, useful life	7 years
Trade Names
Finite-lived intangible assets	$ 1,000
Finite-lived intangible asset, useful life	10 years

Other Receivables and Current_3

Other Receivables and Current Assets and Other Accrued Expenses and Liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Other Receivables and Current Assets and Other Accrued Expenses and Liabilities [Abstract]
Receivables related to unrecognized revenue	$ 119,073	$ 192,154
Income taxes receivable, including overpayments and refunds	29,947	31,628
Prepaid expenses and other current assets	50,471	44,740
Total other receivables and current assets	199,491	268,522
Accrued vacation	38,396	34,132
Consumption, VAT and sales tax liabilities	26,123	45,156
Accrued expenses and other current liabilities	113,729	120,178
Total other accrued expenses and liabilities	$ 178,248	$ 199,466

Earnings Per Share - Details of

Earnings Per Share - Details of Basic and Diluted EPS (Detail) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended						9 Months Ended
	Sep. 30, 2021	Jun. 30, 2021	Mar. 31, 2021	Sep. 30, 2020	Jun. 30, 2020	Mar. 31, 2020	Sep. 30, 2021	Sep. 30, 2020
Earnings Per Share [Abstract]
Net income	$ 85,342	$ 93,716	$ 72,398	$ 75,627	$ 96,564	$ 46,064	$ 251,456	$ 218,255
Weighted average shares outstanding – basic	87,239			85,798			87,072	85,749
Dilutive effect of stock plans	930			1,426			997	1,427
Weighted average shares outstanding – diluted	88,169			87,224			88,069	87,176
Basic earnings per share	$ 0.98			$ 0.88			$ 2.89	$ 2.55
Diluted earnings per share	$ 0.97			$ 0.87			$ 2.86	$ 2.50
Anti-dilutive shares	32			30			30	28

Goodwill and Intangible Asset_2

Goodwill and Intangible Assets - Additional Information (Detail) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Amortization of intangible assets	$ 18.6	$ 14.1	$ 57.4	$ 41.8
Minimum
Finite-lived Intangible asset, useful life			2 years
Maximum
Finite-lived Intangible asset, useful life			17 years

Goodwill and Intangible Asset_3

Goodwill and Intangible Assets - Intangible Assets (Detail) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Intangible Assets [Line Items]
Amortized intangible assets, gross carrying amount	$ 1,257,758	$ 1,323,331
Amortized intangible assets, accumulated amortization	(590,847)	(628,823)
Indefinite-lived intangible assets (excluding goodwill)	357
Trade Names
Intangible Assets [Line Items]
Indefinite-lived intangible assets (excluding goodwill)	357	357
Developed Software and Core Technologies
Intangible Assets [Line Items]
Amortized intangible assets, gross carrying amount	887,926	859,620
Amortized intangible assets, accumulated amortization	(409,288)	(370,338)
Customer Lists
Intangible Assets [Line Items]
Amortized intangible assets, gross carrying amount	194,047	288,085
Amortized intangible assets, accumulated amortization	(54,546)	(136,093)
Trade Names
Intangible Assets [Line Items]
Amortized intangible assets, gross carrying amount	175,785	175,626
Amortized intangible assets, accumulated amortization	$ (127,013)	$ (122,392)

Goodwill and Intangible Asset_4

Goodwill and Intangible Assets - Estimated Future Amortization Expense for Intangible Assets (Detail) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Goodwill and Intangible Assets Disclosure [Abstract]
Remainder of 2021	$ 18,000
2022	78,125
2023	80,348
2024	79,784
2025	77,509
2026	75,325
Thereafter	257,820
Total intangible assets subject to amortization	666,911
Indefinite-lived trade name	357
Other intangible assets, net	$ 667,268	$ 694,865

Goodwill and Intangible Asset_5

Goodwill and Intangible Assets - Changes in Goodwill (Detail) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020
Goodwill [Roll Forward]
Beginning balance	$ 3,038,306	$ 2,413,280
Acquisitions and adjustments	79,905	69,598
Currency translation	(16,588)	8,712
Ending balance	$ 3,101,623	$ 2,491,590

Fair Value Measurement - Fair V

Fair Value Measurement - Fair Value of Assets and Liabilities Measured on Recurring Basis (Detail) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash equivalents	$ 120,610	$ 341,085
Short-term investments	527	479
Deferred compensation plan investments	1,602	1,602
Equity securities	2,642
Quoted Prices in Active Markets (Level 1)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash equivalents	120,610	341,085
Short-term investments	0	0
Deferred compensation plan investments	1,602	1,602
Equity securities	2,642
Significant Other Observable Inputs (Level 2)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash equivalents	0	0
Short-term investments	527	479
Deferred compensation plan investments	0	0
Equity securities	0
Significant Unobservable Inputs (Level 3)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash equivalents	0	0
Short-term investments	0	0
Deferred compensation plan investments	0	$ 0
Equity securities	$ 0

Fair Value Measurement - Additi

Fair Value Measurement - Additional Information (Detail)	9 Months Ended
	Sep. 30, 2021
Minimum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Short-term investments maturity	3 months
Maximum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Short-term investments maturity	1 year

Leases - Additional Information

Leases - Additional Information (Detail) $ in Millions	Sep. 30, 2021USD ($)ft²
Lessee, Lease, Description [Line Items]
Current portion of operating lease liabilities	$ 23.7
Canonsburg Office, New Company Headquarters
Lessee, Lease, Description [Line Items]
Area of real estate property | ft²	186,000
Period of leased property	183 months
Base rent through 2024	$ 4.5
Base rent 2025-2029	$ 4.7

Leases - Schedule of Lease Cost

Leases - Schedule of Lease Cost (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Leases [Abstract]
Lease liability cost	$ 7,139	$ 6,206	$ 21,278	$ 18,704
Variable lease cost not included in the lease liability	1,017	1,033	3,203	3,354
Total lease cost	$ 8,156	$ 7,239	$ 24,481	$ 22,058

Leases - Lessee, Operating Leas

Leases - Lessee, Operating Lease Other Information (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Leases [Abstract]
Operating cash flows from operating leases	$ (7,217)	$ (5,921)	$ (21,183)	$ (17,322)
Right-of-use assets obtained in exchange for new operating lease liabilities	$ 1,301	$ 1,076	$ 6,895	$ 21,319
Weighted-average remaining lease term of operating leases	6 years 8 months 12 days	7 years 6 months	6 years 8 months 12 days	7 years 6 months
Weighted-average discount rate of operating leases	3.00%	3.30%	3.00%	3.30%

Leases - Schedule of Maturity o

Leases - Schedule of Maturity of Operating Lease Liabilities (Detail) $ in Thousands	Sep. 30, 2021USD ($)
Leases [Abstract]
Remainder of 2021	$ 7,188
2022	25,964
2023	20,393
2024	18,956
2025	17,727
Thereafter	50,382
Total future lease payments	140,610
Less: Present value adjustment	(14,053)
Present value of future lease payments	$ 126,557

Debt (Detail)

Debt (Detail) - USD ($)	Jun. 30, 2021	Jan. 06, 2020	Sep. 30, 2021	Sep. 30, 2021	Dec. 31, 2020	Dec. 01, 2020	Nov. 01, 2019
Debt Disclosure [Line Items]
Term loan principal repayment rate, initial			1.25%	1.25%
Term loan principal repayment rate, increased			2.50%	2.50%
Weighted-average interest rate over time			1.33%	1.41%
Weighted-average interest rate at point in time			1.26%	1.26%
Consolidated leverage ratio			3.50	3.50
Consolidated leverage ratio increased			4	4
Qualified acquisition amount			$ 250,000,000	$ 250,000,000
Long-term debt			753,451,000	753,451,000	$ 798,118,000
Unamortized debt issuance cost			1,500,000	1,500,000	$ 1,900,000
Livermore Software Technology Corporation
Debt Disclosure [Line Items]
Unsecured debt							$ 500,000,000
Early debt repayment	$ 26,000,000	$ 75,000,000
Early repayment of debt due in 2022		25,000,000
Early repayment of debt due in 2023		$ 50,000,000
Analytical Graphics, Inc.
Debt Disclosure [Line Items]
Unsecured debt						$ 375,000,000
Early debt repayment	19,000,000
Early repayment of debt due in 2022	18,800,000
Early repayment of debt due in 2023	$ 200,000
Revolving credit facility
Debt Disclosure [Line Items]
Line of credit, maximum borrowing capacity			500,000,000	500,000,000
Outstanding borrowings under the credit agreement			0	0
Letters of credit
Debt Disclosure [Line Items]
Line of credit, maximum borrowing capacity			$ 50,000,000	$ 50,000,000
Base rate
Debt Disclosure [Line Items]
Debt instrument, basis spead on federal funds rate				0.50%
Debt instrument, basis spread on Eurodollar rate				1.00%
Base rate | Minimum
Debt Disclosure [Line Items]
Debt instrument, basis spread on variable rate				0.125%
Base rate | Maximum
Debt Disclosure [Line Items]
Debt instrument, basis spread on variable rate				0.75%
Eurodollar | Minimum
Debt Disclosure [Line Items]
Debt instrument, basis spread on variable rate				1.125%
Eurodollar | Maximum
Debt Disclosure [Line Items]
Debt instrument, basis spread on variable rate				1.75%

Income Taxes - Schedule of Inco

Income Taxes - Schedule of Income Tax Provision (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Income Tax Disclosure [Abstract]
Income before income tax provision	$ 103,898	$ 90,144	$ 280,381	$ 236,053
Income tax provision	$ 18,556	$ 14,517	$ 28,925	$ 17,798
Effective tax rate	17.90%	16.10%	10.30%	7.50%

Stock Repurchase Program (Detai

Stock Repurchase Program (Detail) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Mar. 31, 2020	Sep. 30, 2021	Sep. 30, 2020
Class of Stock Disclosures [Abstract]
Number of shares repurchased			97	690
Average price paid per share			$ 371.83	$ 233.48
Total cost	$ 35,993	$ 161,029	$ 35,993	$ 161,029

Stock Repurchase Program - Addi

Stock Repurchase Program - Additional Information (Detail) shares in Millions	Sep. 30, 2021shares
Class of Stock Disclosures [Abstract]
Stock repurchase program, remaining number of shares authorized to be repurchased	2.7

Stock-Based Compensation Expens

Stock-Based Compensation Expense and Its Net Impact on Basic and Diluted Earnings Per Share (Detail) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Employee Service Share-Based Compensation, Allocation of Recognized Period Costs [Line Items]
Stock-based compensation expense before taxes	$ 44,144	$ 38,185	$ 122,148	$ 103,256
Related income tax benefits	(10,743)	(10,060)	(62,151)	(46,849)
Stock-based compensation expense, net of taxes	$ 33,401	$ 28,125	$ 59,997	$ 56,407
Basic earnings per share	$ (0.38)	$ (0.33)	$ (0.69)	$ (0.66)
Diluted earnings per share	$ (0.38)	$ (0.32)	$ (0.68)	$ (0.65)
Maintenance and service
Employee Service Share-Based Compensation, Allocation of Recognized Period Costs [Line Items]
Stock-based compensation expense before taxes	$ 2,753	$ 3,626	$ 9,834	$ 9,956
Selling, general and administrative
Employee Service Share-Based Compensation, Allocation of Recognized Period Costs [Line Items]
Stock-based compensation expense before taxes	25,420	18,954	66,158	50,417
Research and development
Employee Service Share-Based Compensation, Allocation of Recognized Period Costs [Line Items]
Stock-based compensation expense before taxes	$ 15,971	$ 15,605	$ 46,156	$ 42,883

Stock-Based Compensation - Addi

Stock-Based Compensation - Additional Information (Detail) shares in Millions	9 Months Ended
	Sep. 30, 2021shares
Share-based Payment Arrangement [Abstract]
2021 Plan number of shares authorized	4.4
Predecessor Plan shares that remained available for issuance	1.6

Geographic Information - Revenu

Geographic Information - Revenue by Geographic Area (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	$ 441,168	$ 366,965	$ 1,251,048	$ 1,057,611
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	208,998	156,663	570,101	465,919
Japan
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	45,298	40,565	147,511	133,773
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	27,826	27,677	89,781	85,048
South Korea
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	22,364	21,083	67,853	54,105
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	26,677	17,414	62,934	42,016
United Kingdom
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	19,441	26,595	45,894	46,334
Other Europe, Middle East and Africa (EMEA)
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	54,365	52,244	174,189	151,898
Other international
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	$ 36,199	$ 24,724	$ 92,785	$ 78,518

Geographic Information - Proper

Geographic Information - Property and Equipment by Geographic Area (Detail) - USD ($) $ in Thousands	Sep. 30, 2021	Dec. 31, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	$ 90,793	$ 96,503
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	64,740	65,633
India
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	6,002	7,408
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	4,730	5,277
France
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	4,581	5,749
Other EMEA
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	5,027	5,847
Other international
Revenues from External Customers and Long-Lived Assets [Line Items]
Total property and equipment, net	$ 5,713	$ 6,589

Contingencies and Commitments (

Contingencies and Commitments (Detail) $ in Millions	Sep. 30, 2021USD ($)
India Service Tax Audit
Loss Contingencies [Line Items]
Loss contingency, estimate of possible loss	$ 7.4

Subsequent Event - Additional I

Subsequent Event - Additional Information (Detail) - USD ($) $ in Thousands	Oct. 01, 2021	Sep. 30, 2021	Sep. 30, 2020
Subsequent Event [Line Items]
Payments to acquire businesses, net of cash acquired		$ 105,141	$ 100,194
Zemax, LLC | Subsequent Event
Subsequent Event [Line Items]
Percentage of shares acquired	100.00%
Payments to acquire businesses, gross	$ 411,500
Payments to acquire businesses, net of cash acquired	$ 399,100