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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, 2024
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
May 21, 2024
shares
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         $ 45,700 $ 27,600      
Cash received from options exercised during period         $ 25,645 $ 25,251      
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 5,000,000.0            
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         3,700,000 3,800,000 3,900,000
Exercise price of shares granted may not be less than fair market value (percentage)   100.00%              
Long-Term Incentive Plan 2024                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Stock authorized to be issued under plan (in shares) | shares             2,700,000    
Performance Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Unrecognized pre-tax compensation cost         $ 6,000        
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         $ 10,800        
Weighted average recognition period (in years)         2 years        
Restricted Stock | 2007 Long-Term Incentive Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Unrecognized pre-tax compensation cost         $ 5,900        
Weighted average recognition period (in years)         1 year 9 months 18 days        
Employees                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights, percentage       20.00% 33.30%