Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Apr. 03, 2022	Jan. 02, 2022
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 3,872,294	$ 3,992,520
Intangible assets, net	3,942,878	4,063,104
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	31,025	31,033
Less: Accumulated amortization	(28,742)	(28,693)
Net amortizable intangible assets	2,283	2,340
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	168,225	170,983
Less: Accumulated amortization	(64,762)	(62,441)
Net amortizable intangible assets	103,463	108,542
Trade names and trademarks	70,584	70,584
Licensing Agreements [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	68,001	67,887
Less: Accumulated amortization	(54,897)	(54,315)
Net amortizable intangible assets	13,104	13,572
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,841,179	1,834,177
Less: Accumulated amortization	(527,001)	(494,310)
Net amortizable intangible assets	1,314,178	1,339,867
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	3,165,411	3,195,704
Less: Accumulated amortization	(726,145)	(673,425)
Net amortizable intangible assets	2,439,266	2,522,279
In-process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	$ 0	$ 5,920