Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Gross Carrying amount	$ 927,875	$ 950,484
Finite-Lived Intangible Assets, Accumulated Amortization	(503,034)	(442,208)
Finite-Lived Intangible Assets, Amortization Expense	$ 86,300	$ 75,800	$ 69,000
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	7 years 7 months 6 days	7 years 7 months 6 days
Gross Carrying amount	$ 839,811	$ 863,339
Finite-Lived Intangible Assets, Accumulated Amortization	$ (460,885)	$ (411,327)
Service Backlog
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	1 month 6 days	2 months 12 days
Gross Carrying amount	$ 8,301	$ 13,684
Finite-Lived Intangible Assets, Accumulated Amortization	$ (6,352)	$ (929)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	8 years 3 months 18 days	8 years 10 months 24 days
Gross Carrying amount	$ 79,763	$ 73,461
Finite-Lived Intangible Assets, Accumulated Amortization	(35,797)	(29,952)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,369,391	$ 1,367,101