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Stock-based Compensation - Schedule of Assumptions for Stock Options Granted (Details) - $ / shares
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected dividends 0.00% 0.00% 0.00%
Weighted-average risk-free interest rate 1.81% 1.30% 1.21%
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected life of options 5 years 5 years 4 months 17 days 4 years 11 months 5 days
Expected volatility 44.71% 50.10% 46.49%
Expected dividends 0.00% 0.00% 0.00%
Weighted-average risk-free interest rate 2.10% 1.85% 1.36%
Weighted average fair value (in dollars per share) $ 8.30 $ 5.83 $ 4.03