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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - Interest Rate Swap - USD ($)
$ in Millions
Jun. 30, 2023
Sep. 30, 2022
Other current assets    
Derivative financial instruments    
Fair values of the interest rate swap and cap agreements $ 17.9 $ 9.4
Other non-current assets    
Derivative financial instruments    
Fair values of the interest rate swap and cap agreements $ 30.3 $ 41.8