Goodwill and Intangible Assets, Net (Identifiable Intangible Asset Balances) (Details) - USD ($) $ in Thousands	Jul. 04, 2021	Jan. 03, 2021
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Net amortizable intangible assets	$ 1,490,950	$ 1,295,109
Intangible assets, net	1,561,534	1,365,693
Patents [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	31,042	30,855
Less: Accumulated amortization	(28,590)	(28,440)
Net amortizable intangible assets	2,452	2,415
Trade Names And Trademarks [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	122,959	98,661
Less: Accumulated amortization	(54,468)	(48,806)
Net amortizable intangible assets	68,491	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	59,015	58,700
Less: Accumulated amortization	(53,391)	(52,452)
Net amortizable intangible assets	5,624	6,248
Core Technology [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	980,388	789,799
Less: Accumulated amortization	(435,709)	(398,992)
Net amortizable intangible assets	544,679	390,807
Customer Relationships [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	1,441,419	1,357,660
Less: Accumulated amortization	(582,624)	(522,820)
Net amortizable intangible assets	858,795	834,840
In-process Research and Development [Member]
Finite and Indefinite Lived Intangible Assets by Major Class [Line Items]
Gross amortizable intangible assets	$ 10,909	$ 10,944