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Financial Instruments and Risk Management - Effect of Net Investment Hedge Instruments (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Amount of Gain (Loss) Recognized in AOCI on Net Investment Hedges     $ (7,485) $ 7,389 $ 7,637
Interest expense, net $ 49,665 $ 35,307 157,073 163,067 164,238
Income (loss) from discontinued operations, net of tax $ 0 $ (7,921) 3,965 (443,744) (43,292)
Euro-denominated Long-term Debt | Income (loss) from discontinued operations, net of tax          
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Nonderivative Instruments, Gain (Loss) Reclassified from Accumulated OCI into Income, Effective Portion, Net     (13,348) 0 0
Cross-currency swap contract          
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Amount of Gain (Loss) Recognized in Income on Net Investment Hedges     8,368 7,389 7,637
Derivative Instruments, Gain (Loss) Reclassified from Accumulated OCI into Income, Effective Portion, Net     (2,505) 0 0
Accumulated Other Comprehensive Loss          
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Amount of Gain (Loss) Recognized in AOCI on Net Investment Hedges     24,213 38,598 (51,013)
Accumulated Other Comprehensive Loss | Euro-denominated Long-term Debt          
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Amount of Gain (Loss) Recognized in AOCI on Net Investment Hedges     9,716 24,928 (36,609)
Accumulated Other Comprehensive Loss | Cross-currency swap contract          
Derivative Instruments and Hedging Activities Disclosures [Line Items]          
Amount of Gain (Loss) Recognized in AOCI on Net Investment Hedges     $ 14,497 $ 13,670 $ (14,404)