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Equity-based Compensation - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Thousands | 12 Months Ended | 32 Months Ended |  |  |
--- | --- | --- | --- | --- | ---
Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2025 | Jan. 31, 2024 | Feb. 13, 2023 | Nov. 08, 2022
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
Maximum number of shares authorized to be granted |  |  |  |  | 70,550 |  |
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
Unrecognized compensation expense | $ 1,573 |  |  | $ 1,573 |  |  |
Employee share purchase plan, Share |  |  | 0 | 1,027,000 |  |  |
Stock issued during period | 479,000 | 548,000 |  |  |  |  |
Purchase price per ordinary share | $ 69.68 | $ 68.95 |  | $ 69.68 |  |  |
Share based compensation discount from purchased market price offering rate | 85.00% |  |  |  |  |  |
Unvested Stock Options, Unvested Restricted Stock Awards and Unvested Restricted Stock Units [Member] |  |  |  |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
Unrecognized compensation expense | $ 82,000 |  |  | $ 82,000 |  |  |
Stock Option [Member] |  |  |  |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
Stock option awards, term | 10 years |  |  |  |  |  |
Total intrinsic value of options exercised | $ 8,808 | $ 10,899 | $ 24,721 |  |  |  |
Aggregate intrinsic value of stock options outstanding | 14,402 |  |  | 14,402 |  |  |
Aggregate intrinsic value of stock options exercisable | 14,397 |  |  | $ 14,397 |  |  |
Restricted Stock [Member] |  |  |  |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
Value of restricted shares vested | 83,163 | 72,404 | 60,646 |  |  |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
Value of restricted shares vested | $ 20,375 | $ 17,722 | $ 13,125 |  |  |  |
Minimum [Member] |  |  |  |  |  |  |
Awards granted under the Equity Incentive Plan |  |  |  |  |  |  |
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 | 73,550 |  |  | 73,550 |  |  |
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% |  |  | 10.00% |  |  |

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