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Fair Value Measurements - Summary of Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($) $ in Thousands | Dec. 31, 2024 | Sep. 30, 2024
--- | --- | ---
Assets: |  |
Interest rate swap contract | $ 824 | $ 716
Liabilities: |  |
Contingent consideration liabilities | 55,494 | 81,311
Level 2 [Member] |  |
Assets: |  |
Interest rate swap contract | 824 | 716
Level 3 [Member] |  |
Liabilities: |  |
Contingent consideration liabilities | $ 55,494 | $ 81,311

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