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Earnings Per Share - Antidilutive Securities Excluded from EPS Computation (Details) - shares
3 Months Ended 9 Months Ended
May 31, 2021
May 31, 2020
May 31, 2021
May 31, 2020
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 100,000 900,000 1,000,000.0 500,000
Restricted stock awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 0 200,000 0 200,000