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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 9 Months Ended
Jun. 30, 2016
Jun. 30, 2015
Jun. 30, 2016
Jun. 30, 2015
Mar. 31, 2016
Sep. 30, 2015
Mar. 31, 2015
Sep. 30, 2014
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]                
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 74.7 $ 85.8 $ 74.7 $ 85.8 $ 73.9 $ 101.3 $ 137.8 $ 117.2
Assets                
Cash and cash equivalents 487.5 639.5 487.5 639.5   695.2   742.8
Fixed maturity securities, available-for-sale:                
Asset-backed loans 48.2   48.2     226.7    
Liabilities                
Debt 5,944.5   5,944.5     6,310.5 [1],[2]    
Derivatives, Liabilities                
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (0.3) 2.3 0.2 7.9        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)       (0.5)        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases 4.4 1.9 12.5 23.9        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales (2.8) (6.2) (32.8) (12.7)        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements (0.5) (50.0) (6.5) (50.0)        
Funds Withheld Receivable 1,661.0   1,661.0     1,710.1    
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   15.8   15.8   14.1 15.8 16.3
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, Gain (Loss) Included in Other Comprehensive Income (Loss)       (0.5)        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases     0.0          
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales     (13.6)          
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements     0.0          
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   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] 6,045.8   6,045.8     6,398.0    
Level 3 [Member]                
Fixed maturity securities, available-for-sale:                
Policy loans and other invested assets [1] 2.5   2.5     2.5    
Asset-backed loans [1] 48.2   48.2     226.7    
Liabilities                
Total debt [1],[2] 80.1   80.1     99.1    
Derivatives, Liabilities                
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 906.5   906.5     960.3    
Recurring [Member]                
Derivatives, Liabilities                
Liabilities, Fair Value Disclosure, Recurring 748.6   748.6     781.3    
Funds Withheld Receivable 1,661.0   1,661.0     1,710.1    
Assets, Fair Value Disclosure, Recurring 1,684.4   1,684.4     1,780.1    
Recurring [Member] | Foreign Exchange Forward [Member]                
Derivatives, Liabilities                
Derivative Liability 2.4   2.4     1.6    
Recurring [Member] | Commodity Option [Member]                
Derivatives, Assets                
Derivatives 1.9   1.9     7.9    
Derivatives, Liabilities                
Derivative Liability 2.0   2.0     5.6    
Recurring [Member] | Interest Rate Contract [Member]                
Derivatives, Assets                
Derivatives 13.9   13.9     6.4    
Recurring [Member] | Interest Rate Swap [Member]                
Derivatives, Liabilities                
Derivative Liability 1.8   1.8     2.6    
Recurring [Member] | Corporate Debt Securities [Member]                
Fixed maturity securities, available-for-sale:                
Available-for-sale Securities 0.0   0.0     14.1    
Recurring [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]                
Derivatives, Assets                
Derivatives 7.6   7.6     6.0    
Recurring [Member] | Equity [Member]                
Fixed maturity securities, available-for-sale:                
Trading Securities 0.0   0.0     32.8    
Recurring [Member] | Other Invested Assets [Member]                
Fixed maturity securities, available-for-sale:                
Other invested assets 0.0   0.0     2.8    
Recurring [Member] | Level 1 [Member]                
Fixed maturity securities, available-for-sale:                
Total financial assets 0.0   0.0     0.0    
Derivatives, Liabilities                
Financial Liabilities Fair Value Disclosure 0.0   0.0     0.0    
Liabilities, Fair Value Disclosure, Recurring 0.0   0.0     0.0    
Funds Withheld Receivable 143.0   143.0     45.8    
Assets, Fair Value Disclosure, Recurring 143.0   143.0     78.6    
Recurring [Member] | Level 1 [Member] | FIA embedded derivatives, included in contractholder funds [Member]                
Derivatives, Liabilities                
Derivative Liability 133.5   133.5     142.3    
Recurring [Member] | Level 1 [Member] | Front Street Future Policyholder Benefits Reserve [Member]                
Derivatives, Liabilities                
Derivative Liability           0.0    
Recurring [Member] | Level 1 [Member] | Interest Rate Contract [Member]                
Derivatives, Assets                
Derivatives 0.0   0.0     0.0    
Recurring [Member] | Level 1 [Member] | Equity [Member]                
Fixed maturity securities, available-for-sale:                
Trading Securities 0.0   0.0     32.8    
Recurring [Member] | Level 1 [Member] | Other Invested Assets [Member]                
Fixed maturity securities, available-for-sale:                
Other invested assets 0.0   0.0     0.0    
Recurring [Member] | Level 2 [Member]                
Fixed maturity securities, available-for-sale:                
Total financial assets 0.0   0.0     0.0    
Derivatives, Liabilities                
Financial Liabilities Fair Value Disclosure 6,045.8   6,045.8     6,398.0    
Liabilities, Fair Value Disclosure, Recurring 6.2   6.2     9.8    
Funds Withheld Receivable 1,443.3   1,443.3     1,579.9    
Assets, Fair Value Disclosure, Recurring 1,466.7   1,466.7     1,600.2    
Recurring [Member] | Level 2 [Member] | Foreign Exchange Forward [Member]                
Derivatives, Liabilities                
Derivative Liability 2.4   2.4     1.6    
Recurring [Member] | Level 2 [Member] | Commodity Option [Member]                
Derivatives, Assets                
Derivatives 1.9   1.9     7.9    
Derivatives, Liabilities                
Derivative Liability 2.0   2.0     5.6    
Recurring [Member] | Level 2 [Member] | Interest Rate Contract [Member]                
Derivatives, Assets                
Derivatives 13.9   13.9     6.4    
Recurring [Member] | Level 2 [Member] | Interest Rate Swap [Member]                
Derivatives, Liabilities                
Derivative Liability 1.8   1.8     2.6    
Recurring [Member] | Level 2 [Member] | Corporate Debt Securities [Member]                
Fixed maturity securities, available-for-sale:                
Available-for-sale Securities 0.0   0.0     0.0    
Recurring [Member] | Level 2 [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]                
Derivatives, Assets                
Derivatives 7.6   7.6     6.0    
Recurring [Member] | Level 3 [Member]                
Fixed maturity securities, available-for-sale:                
Total financial assets 50.7   50.7     229.2    
Derivatives, Liabilities                
Financial Liabilities Fair Value Disclosure 986.6   986.6     1,059.4    
Liabilities, Fair Value Disclosure, Recurring 742.4   742.4     771.5    
Funds Withheld Receivable 74.7   74.7     84.4    
Assets, Fair Value Disclosure, Recurring 74.7   74.7     101.3    
Recurring [Member] | Level 3 [Member] | FIA embedded derivatives, included in contractholder funds [Member]                
Derivatives, Liabilities                
Derivative Liability 133.5   133.5     142.3    
Recurring [Member] | Level 3 [Member] | Interest Rate Contract [Member]                
Derivatives, Assets                
Derivatives 0.0   0.0     0.0    
Recurring [Member] | Level 3 [Member] | Corporate Debt Securities [Member]                
Fixed maturity securities, available-for-sale:                
Available-for-sale Securities 0.0   0.0     14.1    
Recurring [Member] | Level 3 [Member] | Foreign Exchange Contract [Member] | Foreign Exchange Forward [Member]                
Derivatives, Assets                
Derivatives           0.0    
Recurring [Member] | Level 3 [Member] | Other Invested Assets [Member] | Other Invested Assets [Member]                
Fixed maturity securities, available-for-sale:                
Other invested assets 0.0   0.0          
Contingent Purchase Price Reduction Receivable [Member]                
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]                
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value             47.0 41.5
Derivatives, Liabilities                
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   3.0   8.5        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements   (50.0)   (50.0)        
Front Street Future Policyholder Benefits Reserve [Member]                
Derivatives, Liabilities                
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value 608.9 594.6 608.9 594.6 654.0 629.2 584.5 151.3
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings 14.1 (23.4) 34.3 (0.8)        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Purchases   47.7   468.2        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements (59.2) 14.2 (54.6) 24.1        
Equity conversion feature of preferred stock [Member]                
Derivatives, Liabilities                
Fair Value, Measurement with Unobservable Inputs Reconciliations, Recurring Basis, Liability Value 742.4 743.6 742.4 743.6 $ 790.5 771.5 $ 740.4 $ 302.1
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings 11.1 (30.3) 25.5 (2.6)        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Other Comprehensive Income (Loss) 0.0 0.0 0.0 0.0        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Purchases 0.0 47.7 0.0 468.2        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Sales 0.0 0.0 0.0 0.0        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements (59.2) 14.2 (54.6) 24.1        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Transfers, Net 0.0 $ 0.0 0.0 $ 0.0        
Estimate of Fair Value Measurement [Member]                
Fixed maturity securities, available-for-sale:                
Policy loans and other invested assets [1] 2.5   2.5     2.5    
Asset-backed loans [1] 48.2   48.2     226.7    
Liabilities                
Total debt [1],[2] 6,125.9   6,125.9     6,497.1    
Derivatives, Liabilities                
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 906.5   906.5     960.3    
Estimate of Fair Value Measurement [Member] | Recurring [Member]                
Fixed maturity securities, available-for-sale:                
Total financial assets 50.7   50.7     229.2    
Derivatives, Liabilities                
Financial Liabilities Fair Value Disclosure 7,032.4   7,032.4     7,457.4    
Estimate of Fair Value Measurement [Member] | Recurring [Member] | Front Street Future Policyholder Benefits Reserve [Member]                
Derivatives, Liabilities                
Derivative Liability 608.9   608.9     629.2    
Reported Value Measurement [Member]                
Fixed maturity securities, available-for-sale:                
Policy loans and other invested assets [1] 2.5   2.5     2.5    
Asset-backed loans [1] 48.2   48.2     226.7    
Total financial assets 50.7   50.7          
Liabilities                
Total debt [1],[2] 5,944.5   5,944.5          
Derivatives, Liabilities                
Liabilities Related to Investment Contracts, Fair Value Disclosure [1] 1,009.7   1,009.7     1,084.5    
Financial Liabilities Fair Value Disclosure 6,954.2   6,954.2          
Reported Value Measurement [Member] | Recurring [Member]                
Fixed maturity securities, available-for-sale:                
Total financial assets           229.2    
Derivatives, Liabilities                
Financial Liabilities Fair Value Disclosure           7,395.0    
Option Pricing [Member] | Recurring [Member] | Level 3 [Member] | Other Invested Assets [Member] | Other Invested Assets [Member]                
Fixed maturity securities, available-for-sale:                
Other invested assets           2.8    
Discounted Cash Flow [Member] | Recurring [Member] | Level 3 [Member]                
Fixed maturity securities, available-for-sale:                
Other invested assets 0.0   0.0     2.8    
Derivatives, Liabilities                
Funds Withheld Receivable 14.7   14.7     19.5    
Discounted Cash Flow [Member] | Recurring [Member] | Level 3 [Member] | Front Street Future Policyholder Benefits Reserve [Member]                
Derivatives, Liabilities                
Derivative Liability $ 608.9   $ 608.9     $ 629.2    
[1] The carrying amounts 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 values of debt set forth above are generally based on quoted or observed market prices.