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Leases Schedule of Lease Expense and Other Information (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Leases [Abstract]      
Amortization of right-of-use assets $ 6,903 $ 6,478 $ 6,290
Interest on lease liabilities 5,132 4,927 4,888
Operating lease expense 10,783 11,278 11,034
Other lease expense 8,280 6,185 4,794
Total lease expense $ 31,098 $ 28,868 27,006
Weighted average remaining lease term, Finance lease 10 years 7 months 6 days 11 years 1 month 6 days  
Weighted average remaining lease term, Operating lease 16 years 17 years 7 months 6 days  
Weighted average discount rate, Finance lease 16.70% 17.10%  
Weighted average discount rate, Operating lease 3.70% 2.60%  
Operating cash flows used in finance leases $ 4,823 $ 4,630 4,571
Operating cash flows used in operating leases 10,114 10,278 10,667
Finance cash flows used in finance leases 8,375 6,148 5,734
Right-of-Use Asset obtained in exchange for Operating Lease liability 13,102 4,710 11,897
Right-of-Use Asset obtained in exchange for Finance Lease liability $ 4,811 $ 7,851 $ 4,253