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Debt - Schedule of Contractual Maturities of Debt (Details) - USD ($)
$ in Millions
Aug. 31, 2024
Aug. 26, 2023
Debt Disclosure [Abstract]    
Fiscal 2025 $ 59.3  
Fiscal 2026 0.0  
Fiscal 2027 0.0  
Fiscal 2028 300.0  
Fiscal 2029 0.0  
Thereafter 350.0  
Total debt, gross $ 709.3 $ 600.0