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Fair Value of Financial Instruments - Assets and Liabilities Carrying at Fair Value on Non-Recurring Basis (Detail) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2016
Dec. 31, 2015
Sep. 30, 2016
Sep. 30, 2015
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Document Period End Date Dec. 31, 2016      
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 46.4 $ 65.1 $ 78.1 $ 91.6
Assets        
Cash and cash equivalents 348.8 566.5 497.3 661.2
Liabilities        
Debt 5,459.0   5,430.9 [1],[2]  
Derivatives, Liabilities        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (1.3) 0.6    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases 3.0 5.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales (6.3) (26.6)    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements   (5.5)    
Net transfer In (Out) of Level 3 (a) (27.1)      
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value 755.7 768.9   771.5
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings (22.6) (6.1)    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Other Comprehensive Income (Loss) 0.0 0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Purchases 0.0 0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Sales 0.0 0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements 15.3 (3.5)    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Transfers, Net 0.0 0.0    
Funds Withheld Receivable 1,609.0   1,650.4  
Corporate Debt Securities [Member]        
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value       14.1
Derivatives, Liabilities        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   (0.5)    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales   (13.6)    
Other Invested Assets [Member]        
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value   0.0   2.8
Derivatives, Liabilities        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   2.7    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases   0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales   0.0    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements   (5.5)    
Net transfer In (Out) of Level 3 (a)   0.0    
Level 2 [Member]        
Liabilities        
Total debt [1],[2] 5,677.7   5,700.1  
Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets 8.3      
Asset-backed loans [1] 13.7   35.0  
Liabilities        
Total debt [1],[2] 23.3   29.1  
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 897.7   922.9  
Level 3 [Member] | Policy Loans [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets     8.5  
Recurring [Member]        
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 757.1   766.2  
Funds Withheld Receivable 1,532.8   1,535.1  
Assets, Fair Value Disclosure, Recurring 1,566.9   1,561.0  
Recurring [Member] | Foreign Exchange Forward [Member]        
Derivatives, Liabilities        
Derivative Liability 0.5   2.0  
Recurring [Member] | Commodity Option [Member]        
Derivatives, Assets        
Derivatives 3.3   2.9  
Derivatives, Liabilities        
Derivative Liability 0.2   0.1  
Recurring [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 12.2   11.3  
Recurring [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 8.3   5.9  
Recurring [Member] | Interest Rate Swap [Member]        
Derivatives, Liabilities        
Derivative Liability 0.7   1.1  
Recurring [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]        
Derivatives, Assets        
Derivatives 10.3   5.8  
Recurring [Member] | Level 1 [Member]        
Fixed maturity securities, available-for-sale:        
Total financial assets 0.0   0.0  
Derivatives, Liabilities        
Financial Liabilities Fair Value Disclosure 0.0   0.0  
Liabilities, Fair Value Disclosure, Recurring 0.0   0.0  
Funds Withheld Receivable 79.6   69.9  
Assets, Fair Value Disclosure, Recurring 79.6   69.9  
Recurring [Member] | Level 1 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 0.0   0.0  
Recurring [Member] | Level 1 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 0.0   0.0  
Recurring [Member] | Level 1 [Member] | FIA embedded derivatives, included in contractholder funds [Member]        
Derivatives, Liabilities        
Derivative Liability 121.2   131.2  
Recurring [Member] | Level 1 [Member] | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability     0.0  
Recurring [Member] | Level 2 [Member]        
Fixed maturity securities, available-for-sale:        
Total financial assets 0.0   0.0  
Derivatives, Liabilities        
Financial Liabilities Fair Value Disclosure 5,677.7   5,700.1  
Liabilities, Fair Value Disclosure, Recurring 1.4   3.2  
Funds Withheld Receivable 1,406.8   1,387.1  
Assets, Fair Value Disclosure, Recurring 1,440.9   1,413.0  
Recurring [Member] | Level 2 [Member] | Foreign Exchange Forward [Member]        
Derivatives, Liabilities        
Derivative Liability 0.5   2.0  
Recurring [Member] | Level 2 [Member] | Commodity Option [Member]        
Derivatives, Assets        
Derivatives 3.3   2.9  
Derivatives, Liabilities        
Derivative Liability 0.2   0.1  
Recurring [Member] | Level 2 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 12.2   11.3  
Recurring [Member] | Level 2 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 8.3   5.9  
Recurring [Member] | Level 2 [Member] | Interest Rate Swap [Member]        
Derivatives, Liabilities        
Derivative Liability 0.7   1.1  
Recurring [Member] | Level 2 [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]        
Derivatives, Assets        
Derivatives 10.3   5.8  
Recurring [Member] | Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Total financial assets 22.0   43.5  
Derivatives, Liabilities        
Financial Liabilities Fair Value Disclosure 921.0   952.0  
Liabilities, Fair Value Disclosure, Recurring 755.7   763.0  
Funds Withheld Receivable 46.4   78.1  
Assets, Fair Value Disclosure, Recurring 46.4   78.1  
Recurring [Member] | Level 3 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 0.0   0.0  
Recurring [Member] | Level 3 [Member] | Call options [Member]        
Derivatives, Assets        
Derivatives 0.0   0.0  
Recurring [Member] | Level 3 [Member] | FIA embedded derivatives, included in contractholder funds [Member]        
Derivatives, Liabilities        
Derivative Liability 121.2   131.2  
Recurring [Member] | Level 3 [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]        
Derivatives, Assets        
Derivatives     0.0  
Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value 634.5 629.0 631.8 $ 629.2
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings (12.6) (3.7)    
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements 15.3 $ (3.5)    
Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets 8.3      
Asset-backed loans [1] 13.7   35.0  
Liabilities        
Total debt [1],[2] 5,701.0   5,729.2  
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 897.7   922.9  
Estimate of Fair Value Measurement [Member] | Policy Loans [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets     8.5  
Estimate of Fair Value Measurement [Member] | Recurring [Member]        
Fixed maturity securities, available-for-sale:        
Total financial assets 22.0   43.5  
Derivatives, Liabilities        
Financial Liabilities Fair Value Disclosure 6,598.7   6,652.1  
Estimate of Fair Value Measurement [Member] | Recurring [Member] | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability 634.5   631.8  
Reported Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets 8.3      
Asset-backed loans [1] 13.7   35.0  
Total financial assets 22.0      
Liabilities        
Total debt [1],[2] 5,459.0      
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 966.2   988.3  
Financial Liabilities Fair Value Disclosure 6,425.2      
Reported Value Measurement [Member] | Policy Loans [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets     8.5  
Reported Value Measurement [Member] | Recurring [Member]        
Fixed maturity securities, available-for-sale:        
Total financial assets     43.5  
Derivatives, Liabilities        
Financial Liabilities Fair Value Disclosure     6,419.2  
Discounted Cash Flow [Member] | Recurring [Member] | Level 3 [Member]        
Derivatives, Liabilities        
Funds Withheld Receivable 5.3   5.4  
Discounted Cash Flow [Member] | Recurring [Member] | Level 3 [Member] | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability $ 634.5   $ 631.8  
[1] The carrying value of cash and cash equivalents, trade receivables, accounts payable and accrued investment income approximate fair value due to their short duration and, accordingly, they are not presented in the tables above.
[2] The fair value of debt set forth above is generally based on quoted or observed market prices.