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Derivatives - Fair Value of Derivative Financial Instruments (Details) - USD ($)
$ in Millions
Jun. 30, 2018
Sep. 30, 2017
Derivative instruments designated as a cash flow hedge | Interest rate cap agreements    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Cash Flow Hedge Derivative Instrument Assets at Fair Value $ 9.4 $ 4.8
Derivative instruments designated as a cash flow hedge | Interest rate cap agreements | Prepaid expenses and other current assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Cash Flow Hedge Derivative Instrument Assets at Fair Value 6.4 3.6
Derivative instruments designated as a cash flow hedge | Interest rate cap agreements | Other assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Cash Flow Hedge Derivative Instrument Assets at Fair Value 3.0 1.2
Derivatives not designated as hedging instruments | Forward foreign currency contracts | Prepaid expenses and other current assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Cash Flow Hedge Derivative Instrument Assets at Fair Value 0.8 0.4
Derivatives not designated as hedging instruments | Forward foreign currency contracts | Accrued Expenses    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Cash Flow Hedge Derivative Instrument Assets at Fair Value $ 0.0 $ 4.0