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Share-Based Compensation - Restricted Stock Plan Table (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Shares Available for Grant    
Shares Available for Grant, Beginning (in shares) 1,156,902  
Shares Available for Grant, Granted 299,858  
Shares Available for Grant, Forfeited 4,410  
Shares Available for Grant, Ending (in shares) 861,454 1,156,902
Number of Shares Outstanding    
Number of Shares Outstanding, Beginning (in shares) 350,778  
Number of Shares Outstanding, Granted 299,858  
Number of Shares Outstanding, Vested (in shares) (161,880)  
Number of Shares Outstanding, Forfeited (in shares) (4,410)  
Number of Shares Outstanding, Ending (in shares) 484,346 350,778
Weighted Average Grant Date Fair Value    
Weighted Average Grant Date Fair Value, Beginning (in dollar per share) $ 40.06  
Weighted Average Grant Date Fair Value, Granted (in dollar per share) 44.94  
Weighted Average Grant Date Fair Value, Vested (in dollar per share) 40.26  
Weighted Average Grant Date Fair Value, Forfeited (in dollar per share) 44.23  
Weighted Average Grant Date Fair Value, Ending (in dollars per share) $ 42.97 $ 40.06
Stock Option Activity, Additional Disclosures    
Weighted Average Remaining Term (in years) 1 year 4 months 13 days 1 year 4 months 9 days
Aggregate Intrinsic Value $ 24.8 $ 14.4