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Shareholders' Equity and Share-based Compensation - Performance-based Restricted Stock Units (Details) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Sep. 30, 2020
Sep. 30, 2020
Sep. 30, 2019
Jun. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based payment arrangement, expense   $ 2,876,000 $ 2,369,000  
Share-based payment arrangement, expense, non-cash   $ 600,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Roll Forward]        
Weighted average remaining recognition period (in years)   2 years 6 months    
Performance Based Restricted Stock Units (PRSUs) Member        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based payment arrangement, expense   $ 400,000 $ 200,000  
Value of grants in period $ 1,000,000.0      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]        
Nonvested at beginning of period (in shares)   342,775    
Forfeited (in shares)   (1,500)    
Nonvested at end of period (in shares) 341,275 341,275   342,775
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Roll Forward]        
Nonvested at beginning of period (in dollars per share)   $ 12.38    
Forfeited (in dollars per share)   16.67    
Nonvested at end of period (in dollars per share $ 12.36 $ 12.36   $ 12.38
Weighted average remaining recognition period (in years)   1 year 4 months 2 days   1 year 7 months 6 days
Aggregate Intrinsic Value $ 4,375,146 $ 4,375,146   $ 3,729,392