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Long-Term Debt - Contractual Maturities (Details) - USD ($)
$ in Millions
Aug. 26, 2023
Aug. 27, 2022
Debt Disclosure [Abstract]    
Fiscal 2024 $ 0.0  
Fiscal 2025 300.0  
Fiscal 2026 0.0  
Fiscal 2027 0.0  
Fiscal 2028 300.0  
Thereafter 0.0  
Total Long-term debt, gross $ 600.0 $ 600.0