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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% |  |  |  |  |

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