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Earnings Per Share - Antidilutive Securities Excluded from EPS Computation (Details) - shares
shares in Millions
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 0.1 0.1 0.1 1.0
Restricted stock awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 0.1 0.0 0.1 0.0