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Income Taxes - Summary of Difference Between the Federal Statutory Rate and the Company's Effective Tax Rate (Details)
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Reconciliation of the difference between the federal statutory rate and the Company's effective tax rate [Abstract]      
Federal statutory rate 21.00% 25.70% 35.00%
State taxes, net of credits 1.20% 0.40% 1.80%
Foreign income taxed at different rates (0.20%) (0.50%) (1.90%)
Valuation allowance on deferred tax assets (0.20%) (35.80%) (31.20%)
Federal rate change   (4.90%)  
Non-deductible officers’ compensation 1.80% 1.60% 2.20%
Noncontrolling interests (0.50%) (0.60%) (1.80%)
Research and development credits (0.50%) (0.60%) (1.50%)
Tax return to provision adjustment 0.50%    
Unrecognized tax benefits 0.70% 3.40% 1.30%
Realized foreign investment basis (0.40%) (0.20%) (0.90%)
Excess tax benefit from stock-based compensation (1.20%) (0.30%)  
Other 1.00% (0.60%) (0.30%)
Effective tax rate 23.20% (12.40%) 2.70%