Goodwill and Intangible Assets, Net (Narrative) (Details) - USD ($) $ in Thousands		3 Months Ended
	Jan. 01, 2020	Apr. 05, 2020	Mar. 31, 2019	Dec. 29, 2019
Goodwill and Intangible Assets Net [Line Items]
Change in any one of the input assumptions for the various reporting units	10.00%
Goodwill		$ 3,051,694		$ 3,111,227
Total amortization expense related to finite-lived intangible assets		47,300	$ 38,700
Future Amortization Expense, Year One		136,700
Future Amortization Expense, Year Two		167,400
Future Amortization Expense, Year Three		151,400
Future Amortization Expense, Year Four		128,500
Future Amortization Expense, Year Five		108,100
Finite-Lived Intangible Assets, Net		1,129,704		1,212,702
Intangible assets, net		1,200,288		1,283,286
Minimum [Member]
Goodwill and Intangible Assets Net [Line Items]
Long-term terminal growth rates for reporting units	3.00%
Discount rates for reporting units	9.00%
Maximum [Member]
Goodwill and Intangible Assets Net [Line Items]
Long-term terminal growth rates for reporting units	5.00%
Discount rates for reporting units	14.50%
Patents [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		30,821		30,831
Less: Accumulated amortization		27,776		27,423
Finite-Lived Intangible Assets, Net		3,045		3,408
Trade Names And Trademarks [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		85,627		87,997
Less: Accumulated amortization		41,376		40,295
Finite-Lived Intangible Assets, Net		44,251		47,702
Licensing Agreements [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		58,259		58,496
Less: Accumulated amortization		50,417		49,733
Finite-Lived Intangible Assets, Net		7,842		8,763
Core Technology [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		663,964		689,089
Less: Accumulated amortization		327,039		320,926
Finite-Lived Intangible Assets, Net		336,925		368,163
Customer Relationships [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		1,136,931		1,161,526
Less: Accumulated amortization		400,656		378,188
Finite-Lived Intangible Assets, Net		736,275		783,338
In-process Research and Development [Member]
Goodwill and Intangible Assets Net [Line Items]
Gross amortizable intangible assets		$ 1,366		$ 1,328