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Stock-Based Compensation - Schedule of Restricted and Performance Stock (Details) - $ / shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Restricted shares      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Shares, beginning balance (shares) 190,805 163,287 180,337
Granted (shares) 147,282 106,753 89,376
Vested and issued (shares) (84,316) (76,210) (97,682)
Forfeited (shares) (4,591) (3,025) (8,744)
Canceled (shares) 0 0 0
Shares, ending balance (shares) 249,180 190,805 163,287
Vested, but not issuable (shares) 62,992 50,770 39,514
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Shares, beginning balance (in USD per share) $ 37.20 $ 37.86 $ 33.06
Granted (in USD per share) 30.68 37.27 41.07
Vested and issued (in USD per share) 38.60 38.64 32.11
Forfeited (in USD per share) 36.18 38.67 35.99
Canceled (in USD per share) 0 0 0
Shares, ending balance (in USD per share) 32.89 37.20 37.86
Vested, but not issuable (in USD per share) $ 33.98 $ 33.88 $ 32.90
Performance shares      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Shares, beginning balance (shares) 173,332 175,196 133,604
Granted (shares) 62,278 60,583 53,682
Vested and issued (shares) (54,861) (59,937) (7,017)
Forfeited (shares) (5,009) (2,510) (5,073)
Canceled (shares) 0 0 0
Shares, ending balance (shares) 175,740 173,332 175,196
Vested, but not issuable (shares) 5,612 5,612 5,612
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Shares, beginning balance (in USD per share) $ 38.50 $ 36.29 $ 33.39
Granted (in USD per share) 40.15 32.77 29.52
Vested and issued (in USD per share) 39.43 30.79 18.00
Forfeited (in USD per share) 37.90 39.25 37.75
Canceled (in USD per share) 0 0 0
Shares, ending balance (in USD per share) 33.56 38.50 36.29
Vested, but not issuable (in USD per share) $ 18.00 $ 18.00 $ 18.00