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Equity-based Compensation - Additional Information (Detail) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Feb. 13, 2023
Nov. 08, 2022
Sep. 30, 2019
Awards granted under the Equity Incentive Plan            
Unrecognized compensation expense $ 77,826          
Employee Share Purchase Plan [Member]            
Awards granted under the Equity Incentive Plan            
Maximum number of shares authorized to be granted       2,400,000 2,400,000  
Stock option awards, term 10 years          
Total intrinsic value of options exercised $ 24,721 $ 33,096 $ 27,023      
Aggregate intrinsic value of stock options outstanding 33,662          
Aggregate intrinsic value of stock options exercisable 30,120          
Unrecognized compensation expense $ 1,805          
Share issuable under ESPP 0          
Share based compensation discount from purchased market price offering rate 85.00%          
Restricted Stock [Member]            
Awards granted under the Equity Incentive Plan            
Value of restricted shares vested $ 60,646 40,615 25,400      
Restricted Stock Units (RSUs) [Member]            
Awards granted under the Equity Incentive Plan            
Value of restricted shares vested $ 13,125 $ 5,891 $ 3,282      
Minimum [Member]            
Awards granted under the Equity Incentive Plan            
Maximum number of shares authorized to be granted           67,550,000
Awards granted under the Equity Incentive Plan, vesting period 3 years          
Maximum [Member]            
Awards granted under the Equity Incentive Plan            
Maximum number of shares authorized to be granted 70,550,000          
Awards granted under the Equity Incentive Plan, vesting period 4 years          
Maximum [Member] | Employee Share Purchase Plan [Member]            
Awards granted under the Equity Incentive Plan            
Share based compensation payment award maximum employee subscription rate 10.00%