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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Income Tax Disclosure [Abstract]      
U.S. federal income taxes receivable $ 6.8 $ 10.7  
Effective tax rate 66.20% 22.70% 24.10%
Unrecognized tax benefits $ 5.1