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Long-Term Debt - Contractual Maturities (Details) - USD ($)
$ in Thousands
Aug. 27, 2022
Aug. 28, 2021
Debt Disclosure [Abstract]    
Fiscal 2023 $ 0  
Fiscal 2024 0  
Fiscal 2025 300,000  
Fiscal 2026 0  
Fiscal 2027 0  
Thereafter 300,000  
Total Long-term debt, gross $ 600,000 $ 600,000