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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
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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

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