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Employee Stock Purchase and Stock Incentive Plans - Schedule of 2023 SIP, 1999 OSDP and StreetLight Plan (Details) - $ / shares
 12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
At fiscal year end:      
Range of exercise prices for options outstanding, minimum (in dollars per share) $ 9.55 $ 5.64 $ 5.64
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 36.73 $ 60.43 $ 60.43
Number of options exercisable (in shares) 80,509 180,911 367,624
For the fiscal year:      
Range of prices relating to options exercised, minimum (in dollars per share) $ 5.64 $ 7.05 $ 11.27
Range of prices relating to options exercised, maximum (in dollars per share) $ 60.43 $ 60.43 $ 60.43