Goodwill and Other Intangible Assets - Details of Other Intangible Assets and Related Future Amortization Expense (Details) - USD ($) $ in Thousands	Jul. 02, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets
Gross Carrying Value	$ 695,873	$ 715,169
Accumulated Amortization	321,280	308,043
Net Book Value	374,593	407,126
Land use rights
Finite-Lived Intangible Assets
Gross Carrying Value	18,974	19,542
Accumulated Amortization	1,892	1,906
Net Book Value	17,082	17,636
Patents, licenses and software
Finite-Lived Intangible Assets
Gross Carrying Value	177,174	164,556
Accumulated Amortization	114,658	101,307
Net Book Value	62,516	63,249
Distribution network
Finite-Lived Intangible Assets
Gross Carrying Value	41,575	43,361
Accumulated Amortization	39,834	40,591
Net Book Value	1,741	2,770
Customer relationships, trademarks, and tradenames
Finite-Lived Intangible Assets
Gross Carrying Value	458,150	487,710
Accumulated Amortization	164,896	164,239
Net Book Value	$ 293,254	$ 323,471