Goodwill and Other Intangible Assets - Details of Other Intangible Assets and Related Future Amortization Expense (Details) - USD ($) $ in Thousands	Oct. 01, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets
Gross Carrying Value	$ 933,758	$ 715,169
Accumulated Amortization	328,448	308,043
Net Book Value	605,310	407,126
Land use rights
Finite-Lived Intangible Assets
Gross Carrying Value	17,459	19,542
Accumulated Amortization	2,081	1,906
Net Book Value	15,378	17,636
Patents, licenses and software
Finite-Lived Intangible Assets
Gross Carrying Value	260,478	164,556
Accumulated Amortization	134,234	101,307
Net Book Value	126,244	63,249
Distribution network
Finite-Lived Intangible Assets
Gross Carrying Value	41,250	43,361
Accumulated Amortization	39,989	40,591
Net Book Value	1,261	2,770
Customer relationships, trademarks, and tradenames
Finite-Lived Intangible Assets
Gross Carrying Value	614,571	487,710
Accumulated Amortization	152,144	164,239
Net Book Value	$ 462,427	$ 323,471

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 928
-SubTopic 340
-Section 50
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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 926
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