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Employee Stock Purchase and Stock Incentive Plans - Schedule of Number of Shares of Restricted Stock and Restricted Stock Units Issued Under the 2023 SIP and StreetLight Plan (Details) - shares
12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
Two Thousand Twenty-Three And Street Light Plan | Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units issued (in shares) 0 0 818
Two Thousand Twenty-Three And Street Light Plan | Restricted Stock Units (RSUs) | Service Condition      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units issued (in shares) 258,720 996,345 290,582
Two Thousand Twenty-Three And Street Light Plan | Restricted Stock Units (RSUs) | Service Market And Performance Conditions at Target      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units issued (in shares) 115,582 126,595 176,470
2023 SIP | Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units canceled (in shares) 0 0 0
Restricted stock and restricted stock units outstanding (in shares) 0    
2023 SIP | Restricted Stock Units (RSUs) | Service Condition      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units canceled (in shares) 277,869 94,249 57,366
Restricted stock and restricted stock units outstanding (in shares) 1,080,637    
2023 SIP | Restricted Stock Units (RSUs) | Service Market And Performance Conditions at Target      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units canceled (in shares) 101,397 39,295 31,966
Restricted stock and restricted stock units outstanding (in shares) 423,895    
1999 ODSP | Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units outstanding (in shares) 0    
1999 ODSP | Restricted Stock Units (RSUs) | Service Condition      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units issued (in shares) 15,647 14,031 13,785
Restricted stock and restricted stock units outstanding (in shares) 70,355