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Share-Based Compensation (Schedule of Performance Stock Unit Activity) (Details) - Performance Stock Units [Member] - $ / shares
12 Months Ended
Aug. 31, 2023
Aug. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock units outstanding 32,358  
Granted, number of stock units 14,496  
Vested, number of stock units (9,344) 0
Forfeited/ cancelled, number of stock units 0  
Stock units outstanding 37,510  
Stock units, weighted-average grant-date fair value $ 127.78  
Granted, weighted-average grant-date fair value 173.17  
Vested, weighted-average grant-date fair value 102.28  
Forfeited/ cancelled, weighted-average grant-date fair value 0  
Stock units, weighted-average grant-date fair value $ 151.67