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Share-Based Compensation - Share-Based Compensation Table (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 652,494    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 881,403    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Gross (79,800)    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Period Increase (Decrease) 79,800    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period (110,423)    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Forfeitures in Period 13,324    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Other Increases (Decreases) in Period (13,324)    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Expirations in Period (2,002)    
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, Outstanding, Number 835,454 881,403  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Number 314,366    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price $ 29.27 $ 27.31  
Share-based Compensation Arrangements by Share-based Payment Award, Options, Grants in Period, Weighted Average Exercise Price 44.17    
Share-based Compensation Arrangements by Share-based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price 23.79    
Share-based Compensation Arrangements by Share-based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price 33.19    
Share-based Compensation Arrangements by Share-based Payment Award, Options, Expirations in Period, Weighted Average Exercise Price 32.60    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Exercise Price 27.16    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Grant Date Fair Value 11.93 11.55  
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
Share-based Compensation Arrangement by Share-based Payment Award, Options, Excrecises in Period, Weighted Average Grant Date Fair Value 7.98    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Forfeited in Period, Weighted Average Grant Date Fair Value 7.14    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Expired in Period, Weighted Average Grant Date Fair Value 6.78    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Excercisable, Weighted Average Grant Date Fair Value $ 11.68    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term   3 years 4 days 3 years 6 months 26 days
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term   2 years 9 months 22 days  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Intrinsic Value $ 15.9 $ 9.8  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Intrinsic Value 6.7    
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