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Accounts Payable, Accrued Expenses and Other Liabilities - Schedule of Other Liabilities (Details) - USD ($) $ in Thousands | Sep. 30, 2025 | Dec. 31, 2024 | Dec. 31, 2023
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Payables and Accruals [Abstract] |  |  |
Accrued compensation | $ 113,117 | $ 111,839 |
Payroll and other taxes payable | 46,985 | 52,887 |
Financial guarantee liability | 31,487 | 26,315 | $ 28,551
Deferred rent | 5,495 | 6,349 |
Contingent consideration | 24,004 | 21,935 |
Payable related to tax receivable agreement | 17,511 | 0 |
Other | 12,276 | 11,790 |
Total | 250,875 | $ 231,115 |
Receivable related to tax receivable agreement | $ 20,600 |  |

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