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Stock-Based Compensation - Additional Information (Detail) - USD ($)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 4,539,403 4,773,670  
RSU awards vesting, description At vesting, each outstanding RSU will be exchanged for one share of the Company’s Common Stock. RSU recipients may elect to net share settle upon vesting, in which case the Company pays the employee’s income taxes due upon vesting and withholds a number of shares of Common Stock of equal value.  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 $ 9,719,116 $ 3,955,216 $ 3,265,348
Grant date fair value of the options granted 34,582,743 12,137,250 4,141,318
Intrinsic value of options exercised 44,082,294 24,561,189 5,805,317
Unrecognized pre-tax compensation expense $ 36,355,846    
Weighted average period to recognize pre-tax compensation expense 3 years 1 month 6 days    
Dividend yield 0.00%    
Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock-based compensation expense $ 33,663,871 $ 8,438,107 $ 5,189,259
Weighted average period to recognize pre-tax compensation expense 3 years 1 month 6 days    
Number of restricted stock units outstanding, granted 2,687,096    
Unrecognized pre-tax compensation expense $ 88,548,649    
Additional unrecognized pre-tax compensation expense $ 38,000,000.0    
2004 Equity Incentive Plan      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 673,262    
2004 Equity Incentive Plan | Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 673,262    
2013 Incentive Plan      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 5,598,345    
2013 Incentive Plan | Employee Stock Option      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of options outstanding 2,611,625    
2013 Incentive Plan | Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of restricted stock units outstanding 2,588,000    
Number of restricted stock units outstanding, granted 1,754,071    
Outside Of Equity Compensation Plans      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 1,254,516    
Outside Of Equity Compensation Plans | Restricted Stock Units (RSUs)      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Shares reserve for issuance 936,025    
Number of restricted stock units outstanding, granted 933,025