Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Jul. 03, 2021	Jan. 02, 2021
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	$ 619,198	$ 561,451
Accumulated amortization	(354,409)	(350,861)
Total estimated amortization expense	264,789	210,590
Existing Technology [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	402,440	370,838
Accumulated amortization	(231,006)	(230,654)
Total estimated amortization expense	171,434	140,184
Agreements and Relationships [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	205,928	180,023
Accumulated amortization	(120,674)	(113,629)
Total estimated amortization expense	85,254	66,394
Tradenames Trademarks And Patents [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	10,830	10,590
Accumulated amortization	(2,729)	(6,578)
Total estimated amortization expense	$ 8,101	$ 4,012