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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 6 Months Ended
Feb. 29, 2024
Mar. 31, 2024
Mar. 31, 2023
Sep. 30, 2023
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)   193,346   292,497
Compensation expense   $ 2.7 $ 2.5  
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   $ 0.2 $ 0.5  
Shares issued annually, grant date value   $ 0.1    
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 | Non-Employee Director Equity Incentive Plan | Share-Based Payment Arrangement, Employee        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Restricted stock issued (in shares) 4,620      
Shares issued, price per share (in shares) $ 153.81      
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%