Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Apr. 03, 2021	Mar. 28, 2020	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 826,924		$ 826,924
Finite-Lived Intangible Assets, Accumulated Amortization	(422,169)		$ (403,347)
Amortization of Intangible Assets	18,800	$ 16,900
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	65,516
Finite-Lived Intangible Assets, Amortization Expense, Year Two	60,567
Finite-Lived Intangible Assets, Amortization Expense, Year Three	54,282
Finite-Lived Intangible Assets, Amortization Expense, Year Four	41,939
Finite-Lived Intangible Assets, Amortization Expense, Year Five	37,501
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	144,950
Finite-Lived Intangible Assets, Net	$ 404,755
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	8 years 3 months 18 days		8 years 6 months
Finite-Lived Intangible Assets, Gross	$ 735,264		$ 735,264
Finite-Lived Intangible Assets, Accumulated Amortization	$ (362,393)		$ (347,029)
Backlog
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	1 month 6 days		3 months 18 days
Finite-Lived Intangible Assets, Gross	$ 34,729		$ 34,729
Finite-Lived Intangible Assets, Accumulated Amortization	$ (34,268)		$ (31,924)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	9 years 9 months 18 days		10 years
Finite-Lived Intangible Assets, Gross	$ 56,931		$ 56,931
Finite-Lived Intangible Assets, Accumulated Amortization	(25,508)		(24,394)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,023,539		$ 1,026,804