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Fair Value (Details Textual) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022
2022 acquisitions
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Finite-lived Intangible Assets Acquired	$ 178,600
OpenEye Scientific Software, Inc. and FFG Holdings Limited ("Future Facilities")
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Finite-lived Intangible Assets Acquired	155,500
2022 Other business combination
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Finite-lived Intangible Assets Acquired	$ 23,100
NUMECA and Pointwise [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Finite-lived Intangible Assets Acquired		$ 88,900
Fair Value, Inputs, Level 3 [Member] | Measurement Input, Discount Rate [Member] | 2022 Other business combination
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate	12.00%
Estimated Royalty Rate	25.00%
Fair Value, Inputs, Level 3 [Member] | Measurement Input, Discount Rate [Member] | Pointwise
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate		10.00%
Estimated Royalty Rate		25.00%
Fair Value, Inputs, Level 3 [Member] | Measurement Input, Discount Rate [Member] | NUMECA
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate		6.70%
Estimated Royalty Rate		22.00%
Fair Value, Inputs, Level 3 [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | 2022 Other business combination
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business Combination, Fair Value Significant Input, Discount Rate	11.50%
Fair Value, Inputs, Level 3 [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | 2022 Other business combination
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business Combination, Fair Value Significant Input, Discount Rate	24.50%
Fair Value, Inputs, Level 3 [Member] | Existing Technology [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | NUMECA and Pointwise [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		10.50%
Fair Value, Inputs, Level 3 [Member] | Existing Technology [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | NUMECA and Pointwise [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		12.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Measurement Input, Discount Rate [Member] | OpenEye Scientific Software, Inc. and FFG Holdings Limited ("Future Facilities")
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate	95.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Measurement Input, Discount Rate [Member] | Pointwise
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate		95.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Measurement Input, Discount Rate [Member] | NUMECA
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate		95.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | OpenEye Scientific Software, Inc. and FFG Holdings Limited ("Future Facilities")
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate	95.00%
Business Combination, Fair Value Significant Input, Discount Rate	10.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | Pointwise
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		10.50%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | NUMECA
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		10.50%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | OpenEye Scientific Software, Inc. and FFG Holdings Limited ("Future Facilities")
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate	100.00%
Business Combination, Fair Value Significant Input, Discount Rate	11.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | Pointwise
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		12.00%
Fair Value, Inputs, Level 3 [Member] | Customer Relationships [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | NUMECA
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		12.00%
Fair Value, Inputs, Level 3 [Member] | Technology-Based Intangible Assets | Measurement Input, Discount Rate [Member] | OpenEye Scientific Software, Inc. and FFG Holdings Limited ("Future Facilities")
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate	10.00%
Estimated Royalty Rate	25.00%

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 1
-Subparagraph (a)(1)
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275

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