Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended		12 Months Ended
	Oct. 02, 2021	Sep. 26, 2020	Oct. 02, 2021	Sep. 26, 2020	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 896,652		$ 896,652		$ 826,924
Finite-Lived Intangible Assets, Accumulated Amortization	(458,451)		(458,451)		$ (403,347)
Amortization of Intangible Assets	18,200	$ 16,900	54,900	$ 51,400
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	73,869		73,869
Finite-Lived Intangible Assets, Amortization Expense, Year Two	66,711		66,711
Finite-Lived Intangible Assets, Amortization Expense, Year Three	57,656		57,656
Finite-Lived Intangible Assets, Amortization Expense, Year Four	48,507		48,507
Finite-Lived Intangible Assets, Amortization Expense, Year Five	46,054		46,054
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	145,404		145,404
Finite-Lived Intangible Assets, Net	438,201		$ 438,201
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			7 years 10 months 24 days		8 years 6 months
Finite-Lived Intangible Assets, Gross	794,079		$ 794,079		$ 735,264
Finite-Lived Intangible Assets, Accumulated Amortization	(393,686)		$ (393,686)		$ (347,029)
Backlog
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			2 months 12 days		3 months 18 days
Finite-Lived Intangible Assets, Gross	37,039		$ 37,039		$ 34,729
Finite-Lived Intangible Assets, Accumulated Amortization	(36,331)		$ (36,331)		$ (31,924)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life			8 years 10 months 24 days		10 years
Finite-Lived Intangible Assets, Gross	65,534		$ 65,534		$ 56,931
Finite-Lived Intangible Assets, Accumulated Amortization	(28,434)		(28,434)		(24,394)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,136,400		$ 1,136,400		$ 1,026,804