Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended			9 Months Ended
	Oct. 01, 2022	Jan. 01, 2022	Oct. 02, 2021	Oct. 01, 2022	Oct. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 921,540	$ 950,484		$ 921,540
Finite-Lived Intangible Assets, Accumulated Amortization	(489,750)	$ (442,208)		(489,750)
Amortization of Intangible Assets	19,800		$ 18,200	69,900	$ 54,900
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	75,415			75,415
Finite-Lived Intangible Assets, Amortization Expense, Year Two	63,916			63,916
Finite-Lived Intangible Assets, Amortization Expense, Year Three	55,088			55,088
Finite-Lived Intangible Assets, Amortization Expense, Year Four	52,949			52,949
Finite-Lived Intangible Assets, Amortization Expense, Year Five	44,612			44,612
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	139,810			139,810
Finite-Lived Intangible Assets, Net	431,790			$ 431,790
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life		7 years 7 months 6 days		7 years 8 months 12 days
Finite-Lived Intangible Assets, Gross	824,595	$ 863,339		$ 824,595
Finite-Lived Intangible Assets, Accumulated Amortization	(439,285)	$ (411,327)		$ (439,285)
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	19,556	$ 13,684		$ 19,556
Finite-Lived Intangible Assets, Accumulated Amortization	(16,512)	$ (929)		$ (16,512)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life		8 years 10 months 24 days		8 years 6 months
Finite-Lived Intangible Assets, Gross	77,389	$ 73,461		$ 77,389
Finite-Lived Intangible Assets, Accumulated Amortization	(33,953)	(29,952)		(33,953)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,350,011	$ 1,367,101		$ 1,350,011