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Earnings Per Share and Dividends (Earnings Per Share) (Details) - shares
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Restricted stock units        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Common shares excluded from computation of diluted earnings per share (in shares) 430,900 665,000.0 431,700 665,000.0