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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 12 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2014
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Oct. 01, 2023
Restricted Stock Units (RSUs)                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unvested restricted stock outstanding (in shares)         192,011 292,497    
Compensation expense         $ 4.2 $ 4.0 $ 3.7  
Amounts not yet recognized related to non-vested stock totaled         $ 2.1 1.4    
Weighted average remaining contractual life         1 year 2 months 23 days      
Restricted Stock                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares issued annually, grant date value               $ 0.1
Compensation expense         $ 0.6 $ 0.6 $ 0.4  
Weighted average remaining contractual life         5 months      
2014 Equity Incentive Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Authorized plan extension period   5 years            
Number of additional shares authorized (in shares)   600,000            
Number of shares authorized (in shares)   1,350,000            
2014 Equity Incentive Plan | Restricted Stock Units (RSUs)                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting period       3 years        
2014 Equity Incentive Plan | Restricted Stock Units (RSUs) | Time Based Restricted Stock Unit                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting period       3 years        
2014 Equity Incentive Plan | Restricted Stock Units (RSUs) | Performance Based Restricted Stock Unit                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting period       3 years        
2014 Equity Incentive Plan | Restricted Stock Units (RSUs) | Minimum | Time Based Restricted Stock Unit                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Actual amount of RSUs earned based on cumulative earnings       50.00%        
2014 Equity Incentive Plan | Restricted Stock Units (RSUs) | Maximum | Performance Based Restricted Stock Unit                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Target RSUs granted range       50.00%        
2014 Director Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Authorized plan extension period     10 years          
Number of additional shares authorized (in shares)     200,000          
Number of shares authorized (in shares)     350,000          
Common stock, capital shares reserved for future issuance (in shares)         185,980      
2014 Director Plan | Restricted Stock                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unvested restricted stock outstanding (in shares)         4,620 8,400    
Maximum number of shares granted to any individual (in shares)       12,000        
Number of shares issued to any individual (in shares)       4,000        
Restricted stock issuable to eligible Board of Directors members annually (in shares)       2,400        
2014 Director Plan | Restricted Stock | Share-Based Payment Arrangement, Nonemployee                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares issued under the plan (in shares) 4,620 16,800            
Shares issued, price per share (in dollars per share) $ 153.81 $ 43.22            
2014 Director Plan | Restricted Stock | Vesting of First Anniversary                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percentage       50.00%        
2014 Director Plan | Restricted Stock | Vesting of Second Anniversary                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percentage       50.00%