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Long-Term Debt - Long-Term Debt Contractual Maturities (Details) - USD ($)
$ in Millions
Feb. 24, 2024
Aug. 26, 2023
Debt Instrument [Line Items]    
Remainder of Fiscal 2024 $ 0.0  
Fiscal 2025 59.3  
Fiscal 2026 0.0  
Fiscal 2027 0.0  
Fiscal 2028 300.0  
Fiscal 2029 0.0  
Thereafter 350.0  
Total 709.3 $ 600.0
2025 Convertible Notes    
Debt Instrument [Line Items]    
Total $ 59.3 $ 300.0