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Employee Stock Purchase and Stock Incentive Plans - Total Intrinsic Value of Options Exercised (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Share-Based Payment Arrangement [Abstract]      
Intrinsic value of stock options exercised $ 28,149 $ 9,693 $ 9,986
Intrinsic value of options exercisable $ 25,200