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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
Oct. 03, 2025
Sep. 27, 2024
Organization, Consolidation and Presentation of Financial Statements [Abstract]    
Pension plan adjustments $ (18,450) $ (20,233)
Foreign currency translation adjustments (161,012) (148,700)
Cash flow hedges 12,056 36,476
Total accumulated other comprehensive loss $ (167,406) $ (132,457)