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Fair Value Measurements - Additional Information (Details) - USD ($)
 6 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Sep. 30, 2023
Fair Value Disclosures [Abstract]      
Fair value, assets, level 1 to level 2 transfers $ 0 $ 0 $ 0
Fair value, assets, level 2 to level 1 transfers 0 0 0
Fair value, assets, level 2 to level 3 transfers 0 0 0
Fair value, assets, level 3 to level 2 transfers 0 0 0
Fair value, assets, level 1 to level 3 transfers 0 0 0
Fair value, assets, level 3 to level 1 transfers 0 0 0
Fair value, liabilities, level 1 to level 2 transfers 0 0 0
Fair value, liabilities, level 2 to level 1 transfers 0 0 0
Fair value, liabilities, level 2 to level 3 transfers 0 0 0
Fair value, liabilities, level 3 to level 2 transfers 0 0 0
Fair value, liabilities, level 1 to level 3 transfers 0 0 0
Fair value, liabilities, level 3 to level 1 transfers 0 0 0
Reclassified out of accumulated other comprehensive income 0 $ 0  
Contingent consideration liabilities $ 82,800,000   $ 80,700,000