Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Apr. 02, 2022	Jan. 01, 2022
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	$ 595,927	$ 621,204
Accumulated amortization	(376,817)	(387,939)
Total estimated amortization expense	219,110	233,265
Existing Technology [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	391,889	405,481
Accumulated amortization	(249,550)	(254,599)
Total estimated amortization expense	142,339	150,882
Agreements and Relationships [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	194,781	205,057
Accumulated amortization	(125,208)	(130,187)
Total estimated amortization expense	69,573	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	9,257	10,666
Accumulated amortization	(2,059)	(3,153)
Total estimated amortization expense	$ 7,198	$ 7,513