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Fair Value Measurements - Summary of Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Assets:    
Interest rate swap contract $ 1,206 $ 1,528
Liabilities:    
Contingent consideration liabilities 87,817 15,207
Level 2 [Member]    
Assets:    
Interest rate swap contract 1,206 1,528
Level 3 [Member]    
Liabilities:    
Contingent consideration liabilities $ 87,817 $ 15,207