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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 01, 2025
Feb. 24, 2024
Mar. 01, 2025
Feb. 24, 2024
Aug. 31, 2024
Income Tax Disclosure [Abstract]          
Effective income tax rate 8.10% (126.10%) 21.00% 54.40%  
Income taxes receivable $ 9.8   $ 9.8   $ 6.8