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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	Jun. 30, 2018	Dec. 31, 2017
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	$ 5,228.1	$ 5,291.2
Gross Unrealized Gains	23.5	63.6
Gross Unrealized Losses	(99.4)	(33.9)
Fair Market Value	5,152.2	5,320.9
Total fixed income securities — Available for sale
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	5,155.9	5,201.2
Gross Unrealized Gains	23.5	63.6
Gross Unrealized Losses	(99.4)	(33.8)
Fair Market Value	5,080.0	5,231.0
Total short-term investments — Available for sale
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	72.2	90.0
Gross Unrealized Gains	0.0	0.0
Gross Unrealized Losses	0.0	(0.1)
Fair Market Value	72.2	89.9
U.S. government
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	1,253.5	1,166.5
Gross Unrealized Gains	1.6	4.5
Gross Unrealized Losses	(25.5)	(11.6)
Fair Market Value	1,229.6	1,159.4
U.S. agency
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	47.1	51.8
Gross Unrealized Gains	0.1	0.5
Gross Unrealized Losses	(0.6)	(0.2)
Fair Market Value	46.6	52.1
Municipal
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	105.1	53.0
Gross Unrealized Gains	1.7	2.1
Gross Unrealized Losses	(1.1)	(0.2)
Fair Market Value	105.7	54.9
Corporate
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	2,304.2	2,391.4
Gross Unrealized Gains	10.2	36.1
Gross Unrealized Losses	(47.3)	(11.8)
Fair Market Value	2,267.1	2,415.7
Non-U.S. government-backed corporate
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	92.2	91.5
Gross Unrealized Gains	0.1	0.3
Gross Unrealized Losses	(0.5)	(0.5)
Fair Market Value	91.8	91.3
Non-U.S. government
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	427.5	479.7
Gross Unrealized Gains	4.0	6.4
Gross Unrealized Losses	(1.3)	(1.2)
Fair Market Value	430.2	484.9
Asset-backed
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	18.7	26.3
Gross Unrealized Gains	0.0	0.0
Gross Unrealized Losses	(0.3)	(0.1)
Fair Market Value	18.4	26.2
Agency mortgage-backed
Statement [Line Items]
Total, Available for sale investments in fixed income maturities, Cost or Amortized Cost	907.6	941.0
Gross Unrealized Gains	5.8	13.7
Gross Unrealized Losses	(22.8)	(8.2)
Fair Market Value	$ 890.6	$ 946.5

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