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Leases - Supplemental Cash Flow Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Sep. 02, 2023
Leases [Abstract]    
Operating Cash Outflows from Operating Leases $ 25,556 $ 22,779
Operating Cash Outflows from Finance Leases 20 18
Financing Cash Outflows from Finance Leases 273 1,019
Leased Assets Obtained in Exchange for New Lease Liabilities: Operating Leases 16,393 21,060
Leased Assets Obtained in Exchange for New Lease Liabilities: Finance Leases $ 454 $ 317