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Income Taxes - Additional Information (Details) - USD ($) | 12 Months Ended |
--- | --- | ---
Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
Income Tax Disclosure [Line Items] |  |  |  |
Income taxes payable | $ 179,100,000 | $ 75,300,000 |  |
Accrued income taxes | 28,700,000 | 40,000,000 |  |
Prepaid income taxes | 20,400,000 | 14,000,000 |  |
Income tax payments | 121,700,000 | 68,600,000 | $ 65,900,000 |
Foreign tax credits | 5,996,000 | 2,028,000 |  |
Gross deferred amortization carryforward | 18,000,000 |  |  |
Valuation allowance | 8,529,000 | 21,755,000 | 21,695,000 | $ 22,283,000
Interest Expense | 77,019,000 | 119,653,000 | 129,417,000 |
Unrecognized tax benefit | 157,724,000 | 65,035,000 | 50,742,000 | $ 23,923,000
Penalty expense | 0 | 0 | 0 |
Interest expense related to income tax accruals | 13,600,000 | 3,100,000 |  |
Accrued tax penalties | 0 | 0 | 0 |
Income tax provision upon recognition of unrecognized tax benefit | 32,100,000 |  |  |
Unrecognized tax benefits, increase in valuation allowance upon recognition | 6,000,000 |  |  |
Stock-based compensation | 216,205,000 | 223,461,000 | 206,459,000 |
Tax benefit recognition related to stock based compensation | 42,500,000 | 27,500,000 | 33,400,000 |
Provision (benefit) for income taxes | 186,180,000 | 92,629,000 | 87,026,000 |
Income Tax Expense |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Interest Expense | 10,000,000 | 3,300,000 | 500,000 |
Reversal of Associated Accrued Interest and Indirect Effects on GILTI and FDII |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Provision (benefit) for income taxes | (6,500,000) |  |  |
Accrued Interest Stemming |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Provision (benefit) for income taxes | 10,900,000 | (4,400,000) |  |
Domestic Country |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Valuation allowance | $ 3,400,000 |  |  |
Domestic Country | Minimum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2026 |  |  |
Non-U.S. tax credit carryforwards expiration | 2026 |  |  |
Domestic Country | Maximum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2035 |  |  |
Non-U.S. tax credit carryforwards expiration | 2033 |  |  |
Domestic Country | Expire in 2026 to 2033 |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Net operating loss carryforwards | $ 400,000 |  |  |
Domestic Country | Expiration beginning in 2026 and ending in 2035 |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards | 2,200,000 |  |  |
State and Local Jurisdiction |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Valuation allowance | $ 3,400,000 |  |  |
State and Local Jurisdiction | Minimum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2026 |  |  |
Non-U.S. tax credit carryforwards expiration | 2027 |  |  |
State and Local Jurisdiction | Maximum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2040 |  |  |
Non-U.S. tax credit carryforwards expiration | 2042 |  |  |
State and Local Jurisdiction | Expiration Beginning in 2027 |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Net operating loss carryforwards | $ 4,900,000 |  |  |
State and Local Jurisdiction | Research Tax Credit Carryforward |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards | 16,800,000 |  |  |
Foreign Country |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Net operating loss carryforwards | 6,700,000 |  |  |
Credit carryforwards | 6,000,000 |  |  |
Foreign tax credits | 1,200,000 |  |  |
Valuation allowance | 5,100,000 |  |  |
Provision (benefit) for income taxes | $ (10,800,000) | 4,600,000 |  |
Tax credits |  | 14,400,000 |  |
Foreign Country | Minimum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2032 |  |  |
Non-U.S. tax credit carryforwards expiration | 2031 |  |  |
Foreign Country | Maximum |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Credit carryforwards expiration | 2035 |  |  |
Non-U.S. tax credit carryforwards expiration | 2037 |  |  |
Windfall Tax Benefit |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Provision (benefit) for income taxes | $ (7,400,000) | (10,200,000) | (7,800,000) |
Transfer Pricing Foreign Jurisdiction |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Uncertain tax |  |  | $ 21,800,000 |
Other Current Liabilities |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Accrued income taxes |  | 6,200,000 |  |
Other Liabilities |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Accrued income taxes | 150,400,000 | $ 29,100,000 |  |
Other Liabilities | IRS Procedural Guidance Requiring Consent Domestic |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |
Unrecognized tax benefit | $ 109,200,000 |  |  |

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