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Long-Term Debt - Long-Term Debt Contractual Maturities (Details) - USD ($)
$ in Millions
Feb. 25, 2023
Aug. 27, 2022
Debt Instrument [Line Items]    
Fair value of long-term debt, gross $ 636.3 $ 634.2
Remainder of Fiscal 2023 0.0  
Fiscal 2024 0.0  
Fiscal 2025 300.0  
Fiscal 2026 0.0  
Fiscal 2027 0.0  
Fiscal 2028 300.0  
Total Senior Secured Notes and Convertible Notes 600.0 600.0
Convertible Notes    
Debt Instrument [Line Items]    
Fair value of long-term debt, gross 351.8  
Total Senior Secured Notes and Convertible Notes $ 300.0 $ 300.0