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Earnings Per Share and Dividends (Earnings Per Share) (Details) - shares
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 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) 465,600 1,103,500 465,600 1,074,200
Employee stock purchase plan        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Common shares excluded from computation of diluted earnings per share (in shares) 0 0 0 1,900