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Stock-Based Compensation - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Mar. 18, 2021
Sep. 30, 2020
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of options outstanding 3,576,575   3,576,575     4,539,403
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 $ 3.2 $ 2.7 $ 9.6 $ 6.8    
Grant date fair value of the options granted 0.9 3.4 9.0 30.0    
Intrinsic value of options exercised 10.2 9.5 63.0 39.8    
Unrecognized pre-tax compensation expense 31.3   $ 31.3      
Weighted average period to recognize pre-tax compensation expense     2 years 8 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 15.4 7.4 $ 32.5 20.7    
Weighted average period to recognize pre-tax compensation expense     2 years 8 months 12 days      
Grant date fair value of other than options granted 3.1 $ 5.9 $ 112.1 $ 141.8    
Unrecognized pre-tax compensation expense $ 123.5   123.5      
Additional unrecognized pre-tax compensation expense     $ 70.1      
2004 Equity Incentive Plan            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Shares reserve for issuance 429,141   429,141      
2004 Equity Incentive Plan | Employee Stock Option            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of options outstanding 429,141   429,141      
2013 Incentive Plan            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Shares reserve for issuance 5,293,368   5,293,368      
Number of shares forfeited     81,939      
2013 Incentive Plan | Employee Stock Option            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of options outstanding 2,127,918   2,127,918      
2013 Incentive Plan | Restricted Stock Units (RSUs)            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of restricted stock units outstanding 3,165,450   3,165,450      
Outside Of Equity Compensation Plans            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Shares reserve for issuance 1,001,516   1,001,516      
Outside Of Equity Compensation Plans | Restricted Stock Units (RSUs)            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Shares reserve for issuance 636,700   636,700      
2021 Incentive Plan            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of shares authorized 8,020,439   8,020,439   8,000,000  
2021 Incentive Plan | Employee Stock Option            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of options outstanding 18,000   18,000      
2021 Incentive Plan | Restricted Stock Units (RSUs)            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of restricted stock units outstanding 43,500   43,500