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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2018
Feb. 28, 2017
Feb. 28, 2018
Feb. 28, 2017
Earnings Per Share [Abstract]        
Net income $ 19,607 $ 10,963 $ 31,037 $ 24,081
Weighted average common shares outstanding– basic (in shares) 38,284 43,794 38,806 44,757
Effect of dilutive employee stock options and unvested restricted stock units (in shares) 413 756 485 790
Weighted average common shares outstanding – diluted (in shares) 38,697 44,550 39,291 45,547
Net income per common share – basic (usd per share) $ 0.51 $ 0.25 $ 0.80 $ 0.54
Net income per common share – diluted (usd per share) $ 0.51 $ 0.25 $ 0.79 $ 0.53
Anti-dilutive securities excluded (in shares) 1,417 1,100 1,352 961