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Description of Business and Summary of Significant Accounting Policies - Schedule of Potential Shares of Common Stock not included in the Computation of Earnings Per Share (Details) - shares
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
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) 343,600 383,100 209,400