Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Oct. 01, 2022	Jan. 01, 2022
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	$ 750,631	$ 621,204
Accumulated amortization	(403,519)	(387,939)
Total estimated amortization expense	347,112	233,265
In-process technology	6,800
Intangible assets, gross carrying amount (excluding goodwill)	757,431
Acquired intangibles, net	353,912	233,265
Existing Technology [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	468,489	405,481
Accumulated amortization	(267,918)	(254,599)
Total estimated amortization expense	200,571	150,882
Agreements and Relationships [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	269,597	205,057
Accumulated amortization	(133,089)	(130,187)
Total estimated amortization expense	136,508	74,870
Tradenames Trademarks And Patents [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	12,545	10,666
Accumulated amortization	(2,512)	(3,153)
Total estimated amortization expense	$ 10,033	$ 7,513