Goodwill and Other Intangible Assets - Details of Other Intangible Assets and Related Future Amortization Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets
Gross Carrying Value	$ 942,995	$ 715,169
Accumulated Amortization	349,025	308,043
Total	593,970	407,126
Amount	254,700
Land use rights
Finite-Lived Intangible Assets
Gross Carrying Value	17,938	19,542
Accumulated Amortization	2,299	1,906
Total	15,639	17,636
Patents, licenses and software
Finite-Lived Intangible Assets
Gross Carrying Value	259,603	164,556
Accumulated Amortization	140,208	101,307
Total	$ 119,395	63,249
Weighted Average Useful Life (Years)	12 years
Amount	$ 55,700
Patents, licenses and software | Adjustments
Finite-Lived Intangible Assets
Gross Carrying Value	50,300
Accumulated Amortization	31,100
Distribution network
Finite-Lived Intangible Assets
Gross Carrying Value	41,733	43,361
Accumulated Amortization	40,955	40,591
Total	778	2,770
Customer relationships, trademarks, and tradenames
Finite-Lived Intangible Assets
Gross Carrying Value	623,721	487,710
Accumulated Amortization	165,563	164,239
Total	$ 458,158	$ 323,471
Weighted Average Useful Life (Years)	17 years 4 months 24 days
Amount	$ 199,000
Customer relationships, trademarks, and tradenames | Adjustments
Finite-Lived Intangible Assets
Gross Carrying Value	(50,300)
Accumulated Amortization	$ (31,100)