Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Jul. 03, 2022	Jan. 02, 2022
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 3,700,637	$ 3,992,520
Intangible assets, net	3,771,221	4,063,104
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	30,814	31,033
Less: Accumulated amortization	(28,737)	(28,693)
Net amortizable intangible assets	2,077	2,340
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	161,784	170,983
Less: Accumulated amortization	(65,717)	(62,441)
Net amortizable intangible assets	96,067	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	67,810	67,887
Less: Accumulated amortization	(55,291)	(54,315)
Net amortizable intangible assets	12,519	13,572
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,786,018	1,834,177
Less: Accumulated amortization	(546,848)	(494,310)
Net amortizable intangible assets	1,239,170	1,339,867
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	3,104,264	3,195,704
Less: Accumulated amortization	(758,722)	(673,425)
Net amortizable intangible assets	2,345,542	2,522,279
In-process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	$ 5,262	$ 5,920