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Share-Based Compensation - Additional Information (Details)
$ in Thousands
6 Months Ended 9 Months Ended
Aug. 16, 2023
May 24, 2016
shares
May 22, 2007
shares
Jun. 30, 2023
Sep. 30, 2023
USD ($)
Sep. 30, 2022
USD ($)
May 12, 2020
shares
May 15, 2018
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock split, conversion ratio 1.5              
Stock authorized to be issued under plan (in shares) | shares   13,400,000            
Total intrinsic value of options exercised during period         $ 27,600 $ 6,700    
Cash received from options exercised during period         $ 25,251 $ 10,990    
Award requisite service period         1 year      
2007 Long-Term Incentive Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock authorized to be issued under plan (in shares) | shares   600,000 5,000,000          
Exercise price of shares granted may not be less than fair market value (percentage)     100.00%          
2016 Long-Term Incentive Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock authorized to be issued under plan (in shares) | shares   5,100,000         3,800,000 3,900,000
Exercise price of shares granted may not be less than fair market value (percentage)   100.00%            
Performance Award                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized pre-tax compensation cost         $ 5,000      
Weighted average recognition period (in years)         1 year 8 months 12 days      
Performance Award | 2016 Long-Term Incentive Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Award vesting period         3 years      
Performance Award | Minimum                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Award, percent of conversion in common stock         0.00%      
Performance Award | Maximum                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Award, percent of conversion in common stock         200.00%      
Equity Option                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized pre-tax compensation cost         $ 10,700      
Weighted average recognition period (in years)         1 year 3 months 18 days      
Restricted Stock | 2007 Long-Term Incentive Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized pre-tax compensation cost         $ 5,700      
Weighted average recognition period (in years)         1 year 6 months      
Key Employee Awards                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized pre-tax compensation cost         $ 300      
Weighted average recognition period (in years)         3 months 18 days      
Employees                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Award vesting rights, percentage       20.00% 33.30%