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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 6 Months Ended
Feb. 29, 2020
Mar. 31, 2020
Mar. 31, 2019
Sep. 30, 2019
Restricted Stock Units (RSUs)        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period   3 years    
Unvested restricted stock outstanding (in shares)   154,200   131,850
Compensation expense   $ 1.5 $ 1.6  
Restricted Stock Units (RSUs) | Time Based Restricted Stock Unit        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period   3 years    
Restricted Stock Units (RSUs) | Performance Based Restricted Stock Unit        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period   3 years    
Restricted Stock        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Compensation expense   $ 0.4 $ 0.3  
Restricted Stock | Non Employee Director Equity Incentive Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Shares issued under the plan (in shares)   2,400    
Restricted stock issued (in shares) 16,800      
Shares issued, price per share (in shares) $ 36.25      
Restricted Stock | Non Employee Director Equity Incentive Plan | Immediate Vesting        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting, percentage   50.00%    
Restricted Stock | Non Employee Director Equity Incentive Plan | Anniversary of Grant Date        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting, percentage   50.00%