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Leases - Operating Lease Cost (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Leases [Abstract]      
Operating lease expense $ 11.8 $ 10.3 $ 9.6
Finance lease cost:      
Depreciation of lease assets 1.1 1.0 0.8
Interest on lease liabilities 0.6 0.5 0.4
Total lease cost $ 13.5 $ 11.8 $ 10.8