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Goodwill and Intangible Assets - Future Amortization of Intangible Assets (Details)
$ in Millions
Aug. 26, 2023
USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]  
Fiscal 2024 $ 22.5
Fiscal 2025 22.1
Fiscal 2026 21.7
Fiscal 2027 21.7
Fiscal 2028 21.4
Thereafter 40.3
Total amortization expense remaining $ 149.7