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Investments - Cost, Gross Unrealized Gains and Losses, and Estimated Fair Value of Available for Sale Investments in Fixed Income Maturities, Short-Term Investments and Equities (Details) - USD ($)
$ in Millions
Mar. 31, 2018
Dec. 31, 2017
Statement [Line Items]    
Cost or Amortized Cost $ 5,519.9 $ 5,291.2
Gross Unrealized Gains 33.9 63.6
Gross Unrealized Losses (87.0) (33.9)
Fair Market Value 5,466.8 5,320.9
Total fixed income securities — Available for sale    
Statement [Line Items]    
Cost or Amortized Cost 5,465.2 5,201.2
Gross Unrealized Gains 33.9 63.6
Gross Unrealized Losses (86.9) (33.8)
Fair Market Value 5,412.2 5,231.0
Total short-term investments — Available for sale    
Statement [Line Items]    
Cost or Amortized Cost 54.7 90.0
Gross Unrealized Gains 0.0 0.0
Gross Unrealized Losses (0.1) (0.1)
Fair Market Value 54.6 89.9
U.S. government    
Statement [Line Items]    
Cost or Amortized Cost 1,311.3 1,166.5
Gross Unrealized Gains 2.5 4.5
Gross Unrealized Losses (21.6) (11.6)
Fair Market Value 1,292.2 1,159.4
U.S. agency    
Statement [Line Items]    
Cost or Amortized Cost 52.9 51.8
Gross Unrealized Gains 0.2 0.5
Gross Unrealized Losses (0.4) (0.2)
Fair Market Value 52.7 52.1
Municipal    
Statement [Line Items]    
Cost or Amortized Cost 46.5 53.0
Gross Unrealized Gains 1.7 2.1
Gross Unrealized Losses (0.6) (0.2)
Fair Market Value 47.6 54.9
Corporate    
Statement [Line Items]    
Cost or Amortized Cost 2,471.3 2,391.4
Gross Unrealized Gains 16.3 36.1
Gross Unrealized Losses (41.4) (11.8)
Fair Market Value 2,446.2 2,415.7
Non-U.S. government-backed corporate    
Statement [Line Items]    
Cost or Amortized Cost 98.2 91.5
Gross Unrealized Gains 0.1 0.3
Gross Unrealized Losses (0.5) (0.5)
Fair Market Value 97.8 91.3
Non-U.S. government    
Statement [Line Items]    
Cost or Amortized Cost 480.7 479.7
Gross Unrealized Gains 4.5 6.4
Gross Unrealized Losses (1.8) (1.2)
Fair Market Value 483.4 484.9
Asset-backed    
Statement [Line Items]    
Cost or Amortized Cost 18.7 26.3
Gross Unrealized Gains 0.0 0.0
Gross Unrealized Losses (0.2) (0.1)
Fair Market Value 18.5 26.2
Agency mortgage-backed    
Statement [Line Items]    
Cost or Amortized Cost 985.6 941.0
Gross Unrealized Gains 8.6 13.7
Gross Unrealized Losses (20.4) (8.2)
Fair Market Value $ 973.8 $ 946.5