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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. 01, 2022
Oct. 01, 2021
Organization, Consolidation and Presentation of Financial Statements [Abstract]    
Pension plan adjustments $ (22,544) $ (24,323)
Foreign currency translation adjustments (127,710) (127,012)
Cash flow hedges 44,236 (49,249)
Share of equity investee's accumulated other comprehensive loss (6,732) (7,427)
Total accumulated other comprehensive loss $ (112,750) $ (208,011)