Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended		12 Months Ended
	Jul. 03, 2021	Jun. 27, 2020	Jul. 03, 2021	Jun. 27, 2020	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 829,842		$ 829,842		$ 826,924
Finite-Lived Intangible Assets, Accumulated Amortization	(440,087)		(440,087)		$ (403,347)
Amortization of Intangible Assets	17,900	$ 17,600	36,700	$ 34,500
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	64,709		64,709
Finite-Lived Intangible Assets, Amortization Expense, Year Two	59,217		59,217
Finite-Lived Intangible Assets, Amortization Expense, Year Three	51,782		51,782
Finite-Lived Intangible Assets, Amortization Expense, Year Four	40,164		40,164
Finite-Lived Intangible Assets, Amortization Expense, Year Five	37,389		37,389
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	136,494		136,494
Finite-Lived Intangible Assets, Net	389,755		$ 389,755
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			8 years 2 months 12 days		8 years 6 months
Finite-Lived Intangible Assets, Gross	731,873		$ 731,873		$ 735,264
Finite-Lived Intangible Assets, Accumulated Amortization	(377,446)		$ (377,446)		$ (347,029)
Backlog
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			0 years		3 months 18 days
Finite-Lived Intangible Assets, Gross	35,578		$ 35,578		$ 34,729
Finite-Lived Intangible Assets, Accumulated Amortization	(35,578)		$ (35,578)		$ (31,924)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			9 years 3 months 18 days		10 years
Finite-Lived Intangible Assets, Gross	62,391		$ 62,391		$ 56,931
Finite-Lived Intangible Assets, Accumulated Amortization	(27,063)		(27,063)		(24,394)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,016,874		$ 1,016,874		$ 1,026,804