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Leases - Supplemental Cash Flow Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 02, 2023
Sep. 03, 2022
Leases [Abstract]    
Operating Cash Outflows from Operating Leases $ 22,779 $ 19,535
Operating Cash Outflows from Finance Leases 18 48
Financing Cash Outflows from Finance Leases 1,019 1,305
Leased Assets Obtained in Exchange for New Lease Liabilities: Operating Leases 21,060 33,608
Leased Assets Obtained in Exchange for New Lease Liabilities: Finance Leases $ 317 $ 17