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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
Sep. 29, 2023
Sep. 30, 2022
Organization, Consolidation and Presentation of Financial Statements [Abstract]    
Pension plan adjustments $ (14,241) $ (7,210)
Foreign currency translation adjustments (193,115) (213,388)
Cash flow hedges 109,119 114,725
Share of equity investee's accumulated other comprehensive loss 0 (5,698)
Accumulated other comprehensive income (loss), net of tax $ (98,237) $ (111,571)