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Derivative Instruments - Schedule of Derivative Instruments, Effect on Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 29, 2023 | Sep. 30, 2022 | Oct. 01, 2021
Cash Flow Hedging | Interest rate swap agreements | Designated as Hedging Instrument |  |  |
Derivative [Line Items] |  |  |
Interest rate swap agreements | $ 51,541 | $ 193,616 | $ 1,228

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