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Share-Based Compensation - Stock Option Plan (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 1,000,000    
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant 588,020 652,494  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value $ 9.79 $ 8.67 $ 6.40
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Stock Options $ 3.0    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Period for Recognition 3 years 1 month 17 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Total Intrinsic Value $ 2.1 $ 2.6 $ 1.9