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Share-Based Compensation - 2009 Stock-Based Incentive Compensation Plan (Details) - USD ($)
12 Months Ended
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