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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - Interest Rate Swap - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2022
Sep. 30, 2021
Other current assets    
Derivative financial instruments    
Fair values of the interest rate swap agreements $ 0.7  
Other non-current assets    
Derivative financial instruments    
Fair values of the interest rate swap agreements 23.9 $ 1.2
Other current liabilities    
Derivative financial instruments    
Fair values of the interest rate swap agreements 1.5 5.0
Other long-term liabilities    
Derivative financial instruments    
Fair values of the interest rate swap agreements   $ 1.8
Designated as Hedging Instrument | Cash Flow Hedging    
Derivative financial instruments    
Losses recognized in income $ 0.0