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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Income Tax Disclosure [Abstract]      
U.S. federal income taxes receivable $ 10.7    
Income taxes payable $ 0.0 $ 0.7  
Effective tax rate 22.70% 24.10% 23.30%
Unrecognized tax benefits $ 5.7