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Investments (Details) - USD ($)
$ in Millions
Sep. 30, 2015
Dec. 31, 2014
Fixed maturities    
Available-for-sale securities disclosures    
Amortized cost $ 47,785.5 $ 46,719.5
Gross unrealized gains 2,561.3 3,290.1
Gross unrealized losses 566.2 338.8
Fair value 49,780.6 49,670.8
Other-than-temporary impairments in AOCI 147.5 175.5
Net unrealized gains (losses) on impaired fixed maturities, available-for-sale related to changes in fair value subsequent to the impairment date 144.5 167.5
U.S. government and agencies    
Available-for-sale securities disclosures    
Amortized cost 1,507.6 1,085.6
Gross unrealized gains 39.7 39.1
Gross unrealized losses 3.7 2.9
Fair value 1,543.6 1,121.8
Non-U.S. governments    
Available-for-sale securities disclosures    
Amortized cost 645.6 704.4
Gross unrealized gains 145.3 188.3
Gross unrealized losses 3.2 1.6
Fair value 787.7 891.1
States and political subdivisions    
Available-for-sale securities disclosures    
Amortized cost 4,245.0 3,916.8
Gross unrealized gains 231.4 291.3
Gross unrealized losses 20.7 4.1
Fair value 4,455.7 4,204.0
Corporate debt securities    
Available-for-sale securities disclosures    
Amortized cost 29,851.0 29,308.3
Gross unrealized gains 1,866.9 2,442.6
Gross unrealized losses 439.2 215.9
Fair value 31,278.7 31,535.0
Other-than-temporary impairments in AOCI 4.8 18.4
Residential mortgage-backed pass-through securities    
Available-for-sale securities disclosures    
Amortized cost 2,572.2 2,702.9
Gross unrealized gains 113.0 126.3
Gross unrealized losses 5.0 6.3
Fair value 2,680.2 2,822.9
Commercial mortgage-backed securities    
Available-for-sale securities disclosures    
Amortized cost 3,808.8 3,896.9
Gross unrealized gains 103.0 141.5
Gross unrealized losses 50.6 62.9
Fair value 3,861.2 3,975.5
Other-than-temporary impairments in AOCI 81.2 88.9
Collateralized debt obligations    
Available-for-sale securities disclosures    
Amortized cost 655.9 521.2
Gross unrealized gains 1.2 3.5
Gross unrealized losses 24.1 20.6
Fair value 633.0 504.1
Other-than-temporary impairments in AOCI 1.3 1.3
Other debt obligations    
Available-for-sale securities disclosures    
Amortized cost 4,499.4 4,583.4
Gross unrealized gains 60.8 57.5
Gross unrealized losses 19.7 24.5
Fair value 4,540.5 4,616.4
Other-than-temporary impairments in AOCI 60.2 66.9
Equity securities    
Available-for-sale securities disclosures    
Amortized cost 469.1 125.1
Gross unrealized gains 8.5 7.7
Gross unrealized losses 12.3 9.8
Fair value $ 465.3 $ 123.0