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Employee Stock Purchase and Stock Incentive Plans - Schedule of fair value of shares of the 2023 SIP and StreetLight Plan (Details) - Restricted Stock Units (RSUs) - USD ($)
$ in Thousands
12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of shares vested $ 98,911 $ 54,315 $ 45,755
2023 SIP | Service Condition      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of shares vested 75,625 32,255 23,077
2023 SIP | Service Market And Performance Conditions at Target      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of shares vested $ 23,286 $ 22,060 $ 22,678