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Investments and Fair Value Measurements - Fair Value of Contingent Consideration (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning fair value - contingent consideration $ 18.4 $ 39.8  
Fair value adjustments 1.1 0.6 $ 29.4
Settlements (20.5) (22.0)  
Other 1.0 0.0  
Ending fair value - contingent consideration $ 0.0 $ 18.4 $ 39.8