Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Jul. 02, 2022	Jan. 01, 2022
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	$ 600,123	$ 621,204
Accumulated amortization	(391,142)	(387,939)
Total estimated amortization expense	208,981	233,265
In-process technology	6,800
Intangible assets, gross carrying amount (excluding goodwill)	606,923
Acquired intangibles, net	215,781	233,265
Existing Technology [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	397,401	405,481
Accumulated amortization	(259,372)	(254,599)
Total estimated amortization expense	138,029	150,882
Agreements and Relationships [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	193,674	205,057
Accumulated amortization	(129,517)	(130,187)
Total estimated amortization expense	64,157	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	9,048	10,666
Accumulated amortization	(2,253)	(3,153)
Total estimated amortization expense	$ 6,795	$ 7,513