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Share-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
6 Months Ended 9 Months Ended
May 24, 2016
May 22, 2007
Jun. 30, 2022
Sep. 30, 2022
Sep. 30, 2021
May 12, 2020
May 15, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Stock authorized to be issued under plan (in shares) 8,900,000            
Total intrinsic value of options exercised during period       $ 6,700 $ 15,100    
Cash received from options exercised during period       $ 10,990 $ 14,573    
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) 400,000 3,300,000          
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) 3,400,000         2,500,000 2,600,000
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       $ 2,200      
Weighted average recognition period (in years)       2 years 2 months 12 days      
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       $ 14,900      
Weighted average recognition period (in years)       1 year 9 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       $ 4,900      
Weighted average recognition period (in years)       1 year 9 months 18 days      
Key Employee Awards              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Unrecognized pre-tax compensation cost       $ 1,300      
Weighted average recognition period (in years)       1 year 3 months 18 days      
Employees              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting rights, percentage     20.00% 33.30%