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Derivative Instruments - Schedule of Derivative Instruments, Effect on Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Cash Flow Hedging | Interest rate swap agreements | Designated as Hedging Instrument      
Derivative [Line Items]      
Interest rate swap agreements $ 11,159 $ (22,016) $ 51,541