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Share-Based Compensation - 2009 Stock-Based Incentive Compensation Plan (Details) - USD ($) | 12 Months Ended
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Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2019
Options |  |  |
Outstanding at the beginning of the period (in shares) | 104,500 | 550,834 |
Outstanding at the end of the period (in shares) | 100,000 | 104,500 | 550,834
Stock Based Incentive Compensation Plan 2009 |  |  |
Share-Based compensation |  |  |
Number of shares of common stock reserved for awards | 1,200,000 |  |
Stock Based Incentive Compensation Plan 2009 | Employee and Non Employee Stock Option |  |  |
Options |  |  |
Outstanding at the beginning of the period (in shares) | 4,500 | 550,834 | 550,834
Exercised (in shares) | (4,500) | (546,334) |
Outstanding at the end of the period (in shares) |  | 4,500 | 550,834
Weighted Average Exercise Price |  |  |
Outstanding at the beginning of the period (in dollars per share) | $ 3.78 | $ 3.32 | $ 3.32
Exercised (in dollars per share) | $ 3.78 | 3.31 |
Outstanding at the end of the period (in dollars per share) |  | $ 3.78 | $ 3.32
Aggregate Intrinsic Value |  |  |
Outstanding at the beginning of the period (in dollars) | $ 13,770 | $ 761,767 | $ 15,000
Exercised (in dollars) | $ 9,892 | 1,926,782 | 0
Outstanding at the end of the period (in dollars) |  | $ 13,770 | $ 761,767
Stock Based Incentive Compensation Plan 2009 | Performance Shares | Employee |  |  |
Share-Based compensation |  |  |
Maximum award (in shares) | 300,000 |  |

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