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Share-Based Compensation (Summary of Restricted Stock Unit Activity) (Details) - Restricted Stock Units [Member]
12 Months Ended
Aug. 31, 2020
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock units outstanding | shares 79,342
Granted, number of stock units | shares 39,716
Vested, number of stock units | shares (40,792)
Forfeited/ cancelled, number of stock units | shares (5,543)
Stock units outstanding | shares 72,723
Stock units, weighted-average grant-date fair value | $ / shares $ 87.49
Granted, weighted-average grant-date fair value | $ / shares 91.83
Vested, weighted-average grant-date fair value | $ / shares 88.85
Forfeited/ cancelled, weighted-average grant-date fair value | $ / shares 87.47
Stock units, weighted-average grant-date fair value | $ / shares $ 89.92