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Leases - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Lessee, Lease, Description [Line Items]    
Term of option to extend 5 years  
Termination option period 1 year  
Weighted-average discount rate - operating leases 4.26%  
Weighted-average remaining lease term (years) - operating leases 3 years 1 month 6 days  
Rental expense $ 11.3 $ 11.8
Common area maintenance expense $ 4.3 $ 3.8
Minimum    
Lessee, Lease, Description [Line Items]    
Term of contract 1 year  
Maximum    
Lessee, Lease, Description [Line Items]    
Term of contract 10 years