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Share-Based Compensation - Restricted Stock Plan Table (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted 1,200,000  
Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued in Period 1,500,000  
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding, Number 1,377,278  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Period Increase (Decrease) 223,481  
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Forfeitures 3,105  
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding, Number 1,156,902 1,377,278
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 274,628  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period 223,481  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period (144,226)  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period (3,105)  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 350,778 274,628
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value $ 38.20  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value 39.57  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value 35.85  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value 35.62  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value $ 40.06 $ 38.20
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Outstanding, Weighted Average Remaining Contractual Terms 1 year 4 months 10 days 1 year 1 month 24 days
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding $ 14.4 $ 13.3
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized $ 10.0  
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Period for Recognition - Restricted Stock 1 year 4 months 10 days