Acquisitions (Details Textual) $ in Thousands	12 Months Ended
	Dec. 31, 2023 USD ($) acquisition	Dec. 31, 2022 USD ($)	Jan. 01, 2022 USD ($)	Oct. 02, 2023 USD ($)	Sep. 07, 2023 USD ($)	May 04, 2023 USD ($)	Aug. 31, 2022 USD ($)	Jul. 14, 2022 USD ($)	Apr. 14, 2021 USD ($)	Feb. 23, 2021 USD ($)
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 198,351	$ 613,785	$ 226,201
Goodwill	1,535,845	1,374,268	928,358
Transaction costs associated with acquisitions	12,100	10,100	$ 2,600
OpenEye Scientific Software, Inc.
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 461,300
Cash acquired							$ 13,200
Goodwill							359,580
Acquired intangibles							117,400
Acquired definite-lived intangible assets, weighted average useful life	9 years 9 months 18 days
Finite-lived Intangible Assets Acquired	$ 117,400
Total assets acquired							$ 508,412
OpenEye Scientific Software, Inc. | Existing Technology [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	7 years
Finite-lived Intangible Assets Acquired	$ 53,900
OpenEye Scientific Software, Inc. | Agreements and Relationship [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	12 years 3 months 18 days
Finite-lived Intangible Assets Acquired	$ 61,400
OpenEye Scientific Software, Inc. | Tradename Trademark and Patents [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	7 years
Finite-lived Intangible Assets Acquired	$ 2,100
FFG Holdings Limited ("Future Facilities")
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 100,100
Cash acquired								$ 2,800
Goodwill								67,219
Acquired intangibles								38,100
Acquired definite-lived intangible assets, weighted average useful life	7 years 3 months 18 days
Finite-lived Intangible Assets Acquired	$ 38,100
Total assets acquired								$ 116,019
FFG Holdings Limited ("Future Facilities") | Existing Technology [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	6 years
Finite-lived Intangible Assets Acquired	$ 20,900
FFG Holdings Limited ("Future Facilities") | Agreements and Relationship [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	9 years
Finite-lived Intangible Assets Acquired	$ 15,600
FFG Holdings Limited ("Future Facilities") | Tradename Trademark and Patents [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	8 years
Finite-lived Intangible Assets Acquired	$ 1,600
2022 Other business combination
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	53,600
Goodwill	29,500
Acquired intangibles	$ 23,100
Acquired definite-lived intangible assets, weighted average useful life	6 years 10 months 24 days
Number of businesses acquired | acquisition	3
Goodwill, expected to be tax deductible	$ 27,800
Finite-lived Intangible Assets Acquired		23,100
2022 Other business combination | Existing Technology [Member]
Business Acquisition [Line Items]
Acquired intangibles assets with finite lives	13,100
2022 Other business combination | Agreements and Relationship [Member]
Business Acquisition [Line Items]
Acquired intangibles assets with finite lives	3,100
2022 Other business combination | Tradename Trademark and Patents [Member]
Business Acquisition [Line Items]
Acquired intangibles assets with finite lives	100
2022 Other business combination | In-process technology
Business Acquisition [Line Items]
Acquired intangible assets with infinite lives	6,800
NUMECA
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired		188,600
Cash acquired										$ 9,600
Goodwill										133,077
Acquired intangibles										72,200
Total assets acquired										$ 228,628
Pointwise
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired		$ 31,400
Goodwill									$ 16,700
Acquired intangibles									$ 16,700
IP Business from Rambus
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 108,600
Goodwill					$ 80,999
Acquired intangibles					26,000
Acquired definite-lived intangible assets, weighted average useful life	5 years 8 months 12 days
Finite-lived Intangible Assets Acquired	$ 26,000
Total assets acquired					$ 111,257
IP Business from Rambus | Existing Technology [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	5 years
Finite-lived Intangible Assets Acquired	$ 16,700
IP Business from Rambus | Agreements and Relationship [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	7 years
Finite-lived Intangible Assets Acquired	$ 9,300
Pulsic. Ltd.
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 56,100
Cash acquired						$ 3,800
Goodwill						47,448
Acquired intangibles						12,400
Acquired definite-lived intangible assets, weighted average useful life	6 years 9 months 18 days
Finite-lived Intangible Assets Acquired	$ 12,400
Total assets acquired						$ 64,306
Pulsic. Ltd. | Existing Technology [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	6 years 2 months 12 days
Finite-lived Intangible Assets Acquired	$ 8,000
Pulsic. Ltd. | Agreements and Relationship [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	8 years
Finite-lived Intangible Assets Acquired	$ 4,100
Pulsic. Ltd. | Tradename Trademark and Patents [Member]
Business Acquisition [Line Items]
Acquired definite-lived intangible assets, weighted average useful life	6 years
Finite-lived Intangible Assets Acquired	$ 300
Intrinsix
Business Acquisition [Line Items]
Cash consideration to acquire businesses, net of cash acquired	$ 34,600
Cash acquired				$ 500
Goodwill				31,600
Acquired definite-lived intangible assets, weighted average useful life	5 years
Finite-lived Intangible Assets Acquired	$ 2,600
Total assets acquired				$ 900