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Leases - Operating Lease Cost (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 27, 2022
Aug. 28, 2021
Leases [Abstract]    
Operating lease expense $ 9,550 $ 5,785
Finance lease cost:    
Depreciation of lease assets 825 609
Interest on lease liabilities 432 327
Total lease cost $ 10,807 $ 6,721