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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Level 3    
Derivative financial instruments    
Fair value of contingent consideration liability $ 11.0 $ 13.0
Designated as Hedging Instrument | Cash Flow Hedging | Interest rate swap agreements    
Derivative financial instruments    
Losses Recognized in Income on Derivatives (Amount Excluded from Effectiveness Testing and Ineffective Portion) $ 0.0