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Earnings Per Share - Antidilutive Securities Excluded from EPS Computation (Details) - shares
shares in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share, (less than) (in shares) 0.1   0.1  
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share, (less than) (in shares) 0.1 0.1 0.1 0.1
Performance stock awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share, (less than) (in shares) 0.0 0.0 0.0 0.0
Restricted stock awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Awards excluded from diluted earnings per share, (less than) (in shares) 0.1 0.1 0.1 0.1