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Stock-Based Compensation - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Number of options outstanding (in shares) 2,842,842   2,842,842   3,456,239
Dividend yield       0.00%  
Employee Stock Option          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Stock-based compensation expense $ 2.6 $ 3.2 $ 8.3 $ 9.6  
Grant date fair value of the options granted 0.0 0.9 0.0 9.0  
Intrinsic value of options exercised 1.6 10.2 24.9 63.0  
Unrecognized pre-tax compensation expense 14.9   $ 14.9    
Weighted average period to recognize pre-tax compensation expense     1 year 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 $ 33.7 15.4 $ 83.4 32.5  
Weighted average period to recognize pre-tax compensation expense 2 years 8 months 12 days        
Grant date fair value of other than options granted $ 42.5 $ 3.1 95.2 $ 112.1  
Unrecognized pre-tax compensation expense $ 190.3   $ 190.3    
2004 Equity Incentive Plan          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Shares reserve for issuance (in shares) 216,607   216,607    
2004 Equity Incentive Plan | Employee Stock Option          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Number of options outstanding (in shares) 216,607   216,607    
2013 Incentive Plan          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Shares reserve for issuance (in shares) 4,114,999   4,114,999    
Number of shares forfeited (in shares)     119,612    
2013 Incentive Plan | Employee Stock Option          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Number of options outstanding (in shares) 1,806,987   1,806,987    
2013 Incentive Plan | Restricted Stock Units (RSUs)          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Number of restricted stock units outstanding (in shares) 2,308,012   2,308,012    
Outside Of Equity Compensation Plans          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Shares reserve for issuance (in shares) 816,248   816,248    
Outside Of Equity Compensation Plans | Restricted Stock Units (RSUs)          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Shares reserve for issuance (in shares) 682,500   682,500    
2021 Incentive Plan          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Common Stock, Share reserve for issuance (in shares) 6,627,845   6,627,845    
2021 Incentive Plan | Employee Stock Option          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Number of options outstanding (in shares) 3,000   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 (in shares) 1,507,267   1,507,267