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Share-Based Compensation (Summary of Restricted Stock Unit Activity) (Details) - Restricted Stock Units [Member]
12 Months Ended
Aug. 31, 2019
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock units outstanding | shares 90,609
Granted, number of stock units | shares 36,693
Vested, number of stock units | shares (40,655)
Forfeited/ cancelled, number of stock units | shares (7,305)
Stock units outstanding | shares 79,342
Stock units, weighted-average grant-date fair value | $ / shares $ 84.38
Granted, weighted-average grant-date fair value | $ / shares 89.76
Vested, weighted-average grant-date fair value | $ / shares 83.68
Forfeited/ cancelled, weighted-average grant-date fair value | $ / shares 89.54
Stock units, weighted-average grant-date fair value | $ / shares $ 87.49