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Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
Apr. 02, 2021
Oct. 02, 2020
Organization, Consolidation and Presentation of Financial Statements [Abstract]    
Pension plan adjustments $ (73,866) $ (72,891)
Foreign currency translation adjustments (110,490) (135,937)
Cash flow hedges (60,421) (87,598)
Share of equity investee's accumulated other comprehensive loss (10,304) (10,832)
Total accumulated other comprehensive loss $ (255,081) $ (307,258)