Fair Value (Details Textual) - Fair Value, Inputs, Level 3 [Member] - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021
2021 Acquisition
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Acquired definite-lived intangible assets, fair value	$ 88,900
AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Acquired definite-lived intangible assets, fair value		$ 101,300
Deferred revenue assumed in a business combintation		$ 6,900
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%
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%
Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Royalty Rate		20.00%
Minimum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate		5.00%
Maximum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Technological Obsolescence Rate		7.50%
Existing Technology [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%
Existing Technology [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%
Existing Technology [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		10.00%
Existing Technology [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%
Existing Technology [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%
Existing Technology [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		11.50%
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%
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%
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%
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%
Customer Relationships [Member] | Minimum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate	85.00%
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%
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%
Customer Relationships [Member] | Maximum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Estimated Customer Retention Rate	95.00%
Customer Contracts | Minimum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		10.00%
Customer Contracts | Maximum [Member] | Measurement Input, Discount Rate [Member] | AWR and Integrand
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Business combination, fair value significant input, discount rate		11.50%