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Share-Based Compensation (Summary Of Type And Fair Value Of Share-Based Compensation Awards) (Details) - $ / shares
3 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Stock Options [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of units granted 21,137 35,168
Weighted average grant-date fair value per award $ 41.80 $ 30.68
Restricted Stock Units [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of units granted 20,099 26,314
Weighted average grant-date fair value per award $ 141.99 $ 106.72
Performance Stock Units [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of units granted 12,122 19,533
Weighted average grant-date fair value per award $ 147.74 $ 125.23