Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Oct. 03, 2021	Jan. 03, 2021
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 4,090,152	$ 1,295,109
Intangible assets, net	4,160,736	1,365,693
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	31,037	30,855
Less: Accumulated amortization	(28,641)	(28,440)
Net amortizable intangible assets	2,396	2,415
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	171,976	98,661
Less: Accumulated amortization	(55,853)	(48,806)
Net amortizable intangible assets	116,123	49,855
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	68,297	58,700
Less: Accumulated amortization	(54,069)	(52,452)
Net amortizable intangible assets	14,228	6,248
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,842,229	789,799
Less: Accumulated amortization	(458,426)	(398,992)
Net amortizable intangible assets	1,383,803	390,807
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	3,184,009	1,357,660
Less: Accumulated amortization	(616,332)	(522,820)
Net amortizable intangible assets	2,567,677	834,840
In-process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	$ 5,925	$ 10,944