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Share-Based Compensation (Schedule of Performance Stock Unit Activity) (Details) - Performance Stock Units [Member]
12 Months Ended
Aug. 31, 2021
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock units outstanding | shares 53,928
Granted, number of stock units | shares 22,324
Forfeited/ cancelled, number of stock units | shares (13,687)
Stock units outstanding | shares 62,565
Stock units, weighted-average grant-date fair value | $ / shares $ 101.29
Granted, weighted-average grant-date fair value | $ / shares 126.31
Forfeited/ cancelled, weighted-average grant-date fair value | $ / shares 89.63
Stock units, weighted-average grant-date fair value | $ / shares $ 112.77