Goodwill and Intangible Assets, Net (Narrative) (Details) - USD ($) $ in Thousands		3 Months Ended		6 Months Ended
	Jan. 04, 2021	Jul. 04, 2021	Jul. 05, 2020	Jul. 04, 2021	Jul. 05, 2020	Jan. 03, 2021
Goodwill and Intangible Assets Net [Line Items]
Change in any one of the input assumptions for the various reporting units	10.00%
Goodwill		$ 3,844,070		$ 3,844,070		$ 3,447,114
Total amortization expense related to finite-lived intangible assets		59,600	$ 46,700	113,700	$ 94,000
Future Amortization Expense, Remainder of Fiscal Year		116,800		116,800
Future Amortization Expense, Year One		224,200		224,200
Future Amortization Expense, Year Two		200,900		200,900
Future Amortization Expense, Year Three		180,100		180,100
Future Amortization Expense, Year Four		151,300		151,300
Finite-Lived Intangible Assets, Net		1,490,950		1,490,950		1,295,109
Intangible assets, net		1,561,534		1,561,534		1,365,693
Minimum [Member]
Goodwill and Intangible Assets Net [Line Items]
Long-term terminal growth rates for reporting units	3.00%
Discount rates for reporting units	8.00%
Maximum [Member]
Goodwill and Intangible Assets Net [Line Items]
Long-term terminal growth rates for reporting units	5.00%
Discount rates for reporting units	12.50%
Patents [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		31,042		31,042		30,855
Less: Accumulated amortization		28,590		28,590		28,440
Finite-Lived Intangible Assets, Net		2,452		2,452		2,415
Trade Names And Trademarks [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		122,959		122,959		98,661
Less: Accumulated amortization		54,468		54,468		48,806
Finite-Lived Intangible Assets, Net		68,491		68,491		49,855
Licensing Agreements [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		59,015		59,015		58,700
Less: Accumulated amortization		53,391		53,391		52,452
Finite-Lived Intangible Assets, Net		5,624		5,624		6,248
Core Technology [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		980,388		980,388		789,799
Less: Accumulated amortization		435,709		435,709		398,992
Finite-Lived Intangible Assets, Net		544,679		544,679		390,807
Customer Relationships [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		1,441,419		1,441,419		1,357,660
Less: Accumulated amortization		582,624		582,624		522,820
Finite-Lived Intangible Assets, Net		858,795		858,795		834,840
In-process Research and Development [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		$ 10,909		$ 10,909		$ 10,944
Tulip Diagnostics Private Limited [Member]
Goodwill and Intangible Assets Net [Line Items]
Goodwill	$ 77,800