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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 24, 2024
Feb. 25, 2023
Feb. 24, 2024
Feb. 25, 2023
Aug. 26, 2023
Income Tax Disclosure [Abstract]          
Effective income tax rate (126.10%) 24.30% 54.40% 24.40%  
income taxes receivable $ 7.9   $ 7.9   $ 10.7