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Fair Value Measurements - Summary of Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($) $ in Thousands | Mar. 31, 2024 | Sep. 30, 2023
--- | --- | ---
Assets: |  |
Interest rate swap contract | $ 1,111 | $ 1,409
Liabilities: |  |
Contingent consideration liabilities | 85,908 | 86,059
Level 2 [Member] |  |
Assets: |  |
Interest rate swap contract | 1,111 | 1,409
Level 3 [Member] |  |
Liabilities: |  |
Contingent consideration liabilities | $ 85,908 | $ 86,059

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