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Derivatives and Fair Value Measurements - Schedule of Amount of Gain (Loss) on Derivatives Recognized in Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Derivatives not designated as hedging instruments | Miscellaneous, net | Foreign Exchange Forward [Member]      
Derivative [Line Items]      
Amount of (Loss) Gain on Derivatives Recognized in Income $ (1,285) $ (1,181) $ 98