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Stock-Based Compensation - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 3,218,005   3,456,239
RSU awards vesting, description At vesting, each outstanding RSU will be exchanged for one share of the Company’s Common Stock. RSU awards generally vest subject to the satisfaction of service requirements or the satisfaction of both service requirements and achievement of certain performance targets.      
Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock-based compensation expense $ 3.0 $ 3.1  
Grant date fair value of the options granted 0.0 6.8  
Intrinsic value of options exercised 12.5 32.0  
Unrecognized pre-tax compensation expense $ 22.4    
Weighted average period to recognize pre-tax compensation expense 2 years 2 months 12 days    
Dividend yield 0.00%    
Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock-based compensation expense $ 21.5 5.0  
Weighted average period to recognize pre-tax compensation expense 2 years 7 months 6 days    
Grant date fair value of other than options granted $ 7.7 $ 7.4  
Unrecognized pre-tax compensation expense $ 139.7    
2004 Equity Incentive Plan      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 376,301    
2004 Equity Incentive Plan | Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 376,301    
2013 Incentive Plan      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 4,904,814    
Number of shares forfeited 91,943    
2013 Incentive Plan | Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 1,948,814    
2013 Incentive Plan | Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of restricted stock units outstanding 2,956,000    
Outside Of Equity Compensation Plans      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 889,890    
Outside Of Equity Compensation Plans | Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 651,000    
2021 Incentive Plan      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of shares authorized 8,012,543    
2021 Incentive Plan | Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 3,000    
2021 Incentive Plan | Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of restricted stock units outstanding 76,400