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Earnings Per Share - Awards Excluded from Diluted EPS (Details) - shares
shares in Thousands
3 Months Ended
Nov. 30, 2023
Nov. 30, 2022
Out-of-the-money stock options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of diluted earnings per share (in shares) 0 546
PSUs    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of diluted earnings per share (in shares) 96 94