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Earnings Per Share - Antidilutive Securities Excluded from EPS Computation (Details) - shares
3 Months Ended 6 Months Ended
Feb. 28, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 954,677 443,595 1,077,258 361,283
Performance share units        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 0 0 0 7,569
Restricted stock awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share (in shares) 71,812 102,210 116,219 116,962