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Net Income Per Share (Details) - USD ($)
$ in Thousands
3 Months Ended
Nov. 30, 2018
Nov. 30, 2017
Earnings Per Share [Abstract]    
Income from continuing operations $ 16,690 $ 19,256
Net income attributable to noncontrolling interests (430) (857)
Income from continuing operations attributable to SSI 16,260 18,399
Loss from discontinued operations, net of tax (72) (35)
Net income attributable to SSI $ 16,188 $ 18,364
Computation of shares:    
Weighted average common shares outstanding, basic (in shares) 27,505,000 27,695,000
Incremental common shares attributable to dilutive performance share awards, DSUs, and RSUs (in shares) 859,000 967,000
Weighted average common shares outstanding, diluted (in shares) 28,364,000 28,662,000
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount (in shares) 102,755 0