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Income Taxes - Additional Information (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2026 | Dec. 31, 2025 | Mar. 31, 2025 | Mar. 31, 2026 | Mar. 31, 2025 | Sep. 30, 2025
Income Tax Disclosure [Line Items] |  |  |  |  |  |
Provision (benefit) for income taxes | $ 156,076 |  | $ 42,605 | $ 192,533 | $ 53,527 |
Unrecognized tax benefits | 50,500 |  |  | 50,500 |  | $ 157,700
Income taxes payable | 161,300 |  |  | 161,300 |  | 179,100
Gain on sale of business |  |  |  | 464,602 | 0 |
Accrued income taxes | 118,300 |  |  | 118,300 |  | 28,700
Income tax provision upon recognition of unrecognized tax benefit | 50,500 |  |  | 50,500 |  |
Unrecognized tax benefits, increase in valuation allowance upon recognition | 5,600 |  |  | 5,600 |  |
Potential decrease in unrecognized tax benefits | 1,000 |  |  | 1,000 |  |
Other Liabilities [Member] |  |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |  |
Accrued income taxes | 43,000 |  |  | 43,000 |  | $ 150,400
IRS [Member] |  |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |  |
Provision (benefit) for income taxes |  | $ (7,100) |  | (7,100) |  |
Foreign Tax Jurisdiction [Member] |  |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |  |
Provision (benefit) for income taxes |  |  |  |  | $ (10,400) |
Kepware and ThingWorx |  |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |  |
Provision (benefit) for income taxes | 102,400 |  |  | 102,400 |  |
Gain on sale of business | $ 462,600 |  |  | $ 462,600 |  |

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