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Investments and Fair Value Measurements - Fair Value of Contingent Consideration (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 25, 2023
Nov. 26, 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 0.8 0.4
Ending fair value - contingent consideration $ 19.2 $ 40.2