Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended		12 Months Ended
	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 921,509		$ 921,509		$ 950,484
Finite-Lived Intangible Assets, Accumulated Amortization	(475,300)		(475,300)		$ (442,208)
Amortization of Intangible Assets	16,500	$ 17,900	50,100	$ 36,700
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	76,959		76,959
Finite-Lived Intangible Assets, Amortization Expense, Year Two	69,104		69,104
Finite-Lived Intangible Assets, Amortization Expense, Year Three	57,683		57,683
Finite-Lived Intangible Assets, Amortization Expense, Year Four	55,254		55,254
Finite-Lived Intangible Assets, Amortization Expense, Year Five	48,742		48,742
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	138,467		138,467
Finite-Lived Intangible Assets, Net	446,209		$ 446,209
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			7 years 6 months		7 years 7 months 6 days
Finite-Lived Intangible Assets, Gross	834,765		$ 834,765		$ 863,339
Finite-Lived Intangible Assets, Accumulated Amortization	(429,322)		$ (429,322)		$ (411,327)
Backlog
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			3 months 18 days		2 months 12 days
Finite-Lived Intangible Assets, Gross	14,678		$ 14,678		$ 13,684
Finite-Lived Intangible Assets, Accumulated Amortization	(13,646)		$ (13,646)		$ (929)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			8 years 6 months		8 years 10 months 24 days
Finite-Lived Intangible Assets, Gross	72,066		$ 72,066		$ 73,461
Finite-Lived Intangible Assets, Accumulated Amortization	(32,332)		(32,332)		(29,952)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,358,827		$ 1,358,827		$ 1,367,101