Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Apr. 02, 2022	Apr. 03, 2021	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 950,686		$ 950,484
Finite-Lived Intangible Assets, Accumulated Amortization	(475,930)		$ (442,208)
Amortization of Intangible Assets	33,600	$ 18,800
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	80,942
Finite-Lived Intangible Assets, Amortization Expense, Year Two	74,658
Finite-Lived Intangible Assets, Amortization Expense, Year Three	62,315
Finite-Lived Intangible Assets, Amortization Expense, Year Four	57,876
Finite-Lived Intangible Assets, Amortization Expense, Year Five	53,343
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	145,622
Finite-Lived Intangible Assets, Net	$ 474,756
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	7 years 4 months 24 days		7 years 7 months 6 days
Finite-Lived Intangible Assets, Gross	$ 863,339		$ 863,339
Finite-Lived Intangible Assets, Accumulated Amortization	$ (430,729)		$ (411,327)
Backlog
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	0 years		2 months 12 days
Finite-Lived Intangible Assets, Gross	$ 13,646		$ 13,684
Finite-Lived Intangible Assets, Accumulated Amortization	$ (13,646)		$ (929)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	8 years 8 months 12 days		8 years 10 months 24 days
Finite-Lived Intangible Assets, Gross	$ 73,701		$ 73,461
Finite-Lived Intangible Assets, Accumulated Amortization	(31,555)		(29,952)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 1,360,401		$ 1,367,101