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Share-based Payments - Performance Stock Units (Details) - Performance stock units - $ / shares
shares in Millions
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Weighted Average Grant Date Fair Value Per Share      
Forfeited, Weighted Average Grant Date Fair Value Per Share (in dollars per share) $ 195.67 $ 113.51 $ 104.34
Stock Incentive Plan      
Number of Shares      
Beginning of period, Outstanding (in shares) 0.2 0.2 0.1
Granted (in shares) 0.1 0.1 0.1
Vested (in shares) (0.1) 0.0 0.0
Forfeited (in shares) (0.1) (0.1) (0.1)
End of period, Outstanding (in shares) 0.2 0.2 0.2
Weighted Average Grant Date Fair Value Per Share      
Beginning of period, Outstanding, Weighted Average Grant date Fair Value Per Share (in dollars per share) $ 145.46 $ 109.99 $ 124.29
Granted, Weighted Average Grant Date Fair Value Per Share (in dollars per share) 186.78 207.02 91.34
Vested, Weighted Average Grant Date Fair Value Per Share (in dollars per share) 124.29    
End of period, Outstanding, Weighted Average Grant Date Fair Value Per Share (in dollars per share) $ 171.01 $ 145.46 $ 109.99