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Description of Business and Summary of Significant Accounting Policies (Earnings Per Share) (Details) - shares
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
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) 655,000.0 728,300 795,800