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Earnings Per Share (Antidilutive Securities Excluded from EPS Computation) (Details) - shares
3 Months Ended
Nov. 30, 2018
Nov. 30, 2017
Stock options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Stock options excluded from diluted earnings per share (in shares) 212,048 163,812
Restricted stock awards    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Stock options excluded from diluted earnings per share (in shares) 197,014 211,576