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Treasury Stock - Narrative (Details) - USD ($) |  | 12 Months Ended |  |  |  |  |
--- | --- | --- | --- | --- | --- | --- | ---
Oct. 03, 2018 | Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017 | May 31, 2017 | Mar. 31, 2017 | Feb. 17, 2017 | Sep. 30, 2015 | Sep. 30, 2013
Stockholders' Equity Note [Abstract] |  |  |  |  |  |  |  |  |
Number of shares authorized to be repurchased (up to) |  |  |  | 7,000,000 | 2,000,000 | 5,000,000 | 50,000 | 170,000 | 105,000
Purchased (in shares) |  | 752,234 | 72,266 | 104,145 |  |  |  |  |
Purchased cost |  | $ 25,576,000 | $ 2,214,756 | $ 3,064,000 |  |  |  |  |
New shares issued (in shares) | 752,234 |  |  |  |  |  |  |  |
Shares issued (in dollars per share) | $ 34.00 |  |  |  |  |  |  |  |
Cost of shares | $ 25,575,956 |  |  |  |  |  |  |  |

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