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Investments and Fair Value Measurements - Fair Value of Contingent Consideration (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning fair value - contingent consideration $ 39.8 $ 0.0  
Additions 0.0 24.2  
Fair value adjustments 0.6 29.4 $ 0.0
Settlements (22.0) (13.2)  
Other 0.0 (0.6)  
Ending fair value - contingent consideration $ 18.4 $ 39.8 $ 0.0