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Share-based Compensation - Deferred Stock Units - Additional Information (Details) - Deferred stock units ("DSUs") - Non-employee Directors - shares
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares granted (in shares) 21,438 20,876 28,042
Class A Common Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation arrangement by share-based payment award, equity instruments other than options, number of shares per stock unit 1