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Employee Stock Purchase and Stock Incentive Plans - Number of Shares of Restricted Stock and Restricted Stock Units Issued Under the 1999 Plans (Details) - shares
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
1999 ODSP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award number of shares, non-fungible share basis (in shares) 1.92    
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) 13,785 17,680 18,100
Restricted stock and restricted stock units outstanding (in shares) 57,133    
1999 SIP | Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock and restricted stock units issued (in shares) 818 0 0
Restricted stock and restricted stock units canceled (in shares) 0 0 34,417
Restricted stock and restricted stock units outstanding (in shares) 252    
1999 SIP | 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) 290,582 380,722 351,670
Restricted stock and restricted stock units canceled (in shares) 57,366 201,967 183,099
Restricted stock and restricted stock units outstanding (in shares) 732,945    
1999 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 issued (in shares) 176,470 181,132 202,792
Restricted stock and restricted stock units canceled (in shares) 31,966 218,520 160,781
Restricted stock and restricted stock units outstanding (in shares) 585,099