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Share-Based Compensation (Schedule of Performance Stock Unit Activity) (Details) - Performance Stock Units [Member]
12 Months Ended
Aug. 31, 2024
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock units outstanding | shares 37,510
Granted, number of stock units | shares 21,248
Vested, number of stock units | shares (10,892)
Forfeited/ cancelled, number of stock units | shares (1,444)
Stock units outstanding | shares 46,422
Stock units, weighted-average grant-date fair value | $ / shares $ 151.67
Granted, weighted-average grant-date fair value | $ / shares 141.63
Vested, weighted-average grant-date fair value | $ / shares 127.16
Forfeited/ cancelled, weighted-average grant-date fair value | $ / shares 154.48
Stock units, weighted-average grant-date fair value | $ / shares $ 152.67