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Fair Value of Financial Instruments - Assets and Liabilities Carrying at Fair Value on Recurring Basis (Detail) - USD ($)
$ in Millions
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2014
Assets        
Cash and cash equivalents $ 270.1 $ 465.2 $ 643.2 $ 673.6
Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Asset Backed Loans And Other Invested Assets   33.3    
Liabilities        
Debt Instrument, Fair Value Disclosure 6,000.0 5,822.0    
Reported Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Asset Backed Loans And Other Invested Assets   33.3    
Liabilities        
Debt Instrument, Fair Value Disclosure 5,774.1 5,525.8    
Fair Value, Inputs, Level 2 [Member]        
Liabilities        
Debt Instrument, Fair Value Disclosure 5,908.0 5,700.1    
Fair Value, Inputs, Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Asset Backed Loans And Other Invested Assets   33.3    
Liabilities        
Debt Instrument, Fair Value Disclosure 92.0 121.9    
Fair Value, Measurements, Recurring | Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure, Recurring 4.5 8.7    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 17.6 3.2    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure, Recurring 0.0 0.0    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member]        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure, Recurring 4.5 8.7    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 17.6 3.2    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure, Recurring 0.0 0.0    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring $ 0.0 $ 0.0