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Long-Term Debt - Long-Term Debt Contractual Maturities (Details) - USD ($)
$ in Millions
Nov. 25, 2023
Aug. 26, 2023
Debt Instrument [Line Items]    
Fair value of long-term debt, gross $ 643.8 $ 640.2
Remainder of Fiscal 2024 0.0  
Fiscal 2025 300.0  
Fiscal 2026 0.0  
Fiscal 2027 0.0  
Fiscal 2028 300.0  
Fiscal 2029 0.0  
Total Senior Secured Notes and Convertible Notes 600.0 600.0
Convertible Notes    
Debt Instrument [Line Items]    
Fair value of long-term debt, gross 357.1 349.0
Total Senior Secured Notes and Convertible Notes $ 300.0 $ 300.0