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Income Taxes - Effective Income Tax Rate Varied from Statutory Guernsey Tax Rate (Parenthetical) (Detail) - USD ($) | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Schedule Of Effective Income Tax Rate Reconciliation [Line Items] |  |  |
Releases of gross unrecognized tax benefits related to settled arrangements with tax authorities, change in measurement of certain positions and expiration of periods set forth in statutes of limitations | $ 40,644,000 | $ 4,757,000 | $ 7,701,000
Tax (expense) benefit resulting from the release of valuation allowances on deferred tax assets |  | 1,211,000 | 6,006,000
Foreign tax benefit from internal structural changes |  |  | 10,933,000
Foreign tax expense for the estimated additional tax charge of gain from sale of a business |  | 3,193,000 | $ 39,596,000
Release of gross unrecognized tax benefits offset by a net benefit included within income tax expense | 16,232,000 |  |
Tax benefit change in measurement of a deferred tax liability | 9,236 |  |
Tax Benefit Internal Structural Changes In Certain Jurisdictions | 11,566,000 |  |
Benefit of relating to changes in tax regulations in certain jurisdiction | 3,142,000 | 8,871,000 |
ISRAEL |  |  |
Schedule Of Effective Income Tax Rate Reconciliation [Line Items] |  |  |
Tax benefit related to the release of accrued withholding taxes on unremitted earnings | $ 22,700,000 | $ 37,000,000 |

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