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Income Taxes Income Taxes (Schedule of Effective Income Tax Rate Reconciliation) (Details)
3 Months Ended 6 Months Ended
Feb. 28, 2018
Feb. 28, 2017
Feb. 28, 2018
Feb. 28, 2017
Income Tax Disclosure [Abstract]        
U.S. federal statutory income tax rate     25.70% 35.00%
State income taxes, net of federal tax benefit     3.90% 2.90%
Federal tax benefit of statutory tax deduction     (1.50%) (1.40%)
Employment related and other tax credits, net     (1.60%) (1.70%)
Stock option excess tax benefit     (6.60%) (2.10%)
Deferred tax revaluation     (67.00%) 0.00%
Other     (0.20%) 0.40%
Effective tax rate (231.10%) 30.00% (47.30%) 33.10%