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Fair value measurements - Fair Value Measurements by Level (Details) - USD ($)
$ in Millions
Dec. 31, 2019
Dec. 31, 2018
Assets measured at fair value    
Fixed maturity investments $ 1,681.0 $ 1,949.2
Equity securities 405.2 380.0
Short-term investments 1,085.2 715.5
Other long-term investments 77.8 63.6
Total investments 3,249.2 3,108.3
Derivative instruments 11.4 4.1
Total assets measured at fair value 3,280.6 3,112.4
Liabilities measured at fair value    
Contingent consideration liabilities 28.2 28.8
Derivative instruments 9.5 5.1
Total liabilities measured at fair value 37.7 33.9
U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 110.5 167.9
Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments 474.1 695.8
Asset-backed securities    
Assets measured at fair value    
Fixed maturity investments 486.8 494.5
Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 438.9 413.5
Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 89.0 115.9
Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 63.0 50.3
Preferred stocks    
Assets measured at fair value    
Fixed maturity investments 17.0 8.5
U.S. States, municipalities and political subdivision    
Assets measured at fair value    
Fixed maturity investments 1.7 2.8
Fixed income mutual funds    
Assets measured at fair value    
Equity securities 175.3 157.7
Common stocks    
Assets measured at fair value    
Equity securities 228.1 222.3
Other equity securities    
Assets measured at fair value    
Equity securities 1.8 0.0
Hedge funds and private equity funds    
Liabilities measured at fair value    
Fair value of hedges 269.0 301.4
Loan participation    
Assets measured at fair value    
Loan participation 20.0 0.0
Level 1    
Assets measured at fair value    
Fixed maturity investments 140.8 207.6
Equity securities 403.4 380.0
Short-term investments 1,073.7 679.3
Other long-term investments 0.0 0.0
Total investments 1,617.9 1,266.9
Derivative instruments 1.3 0.0
Total assets measured at fair value 1,619.2 1,266.9
Liabilities measured at fair value    
Contingent consideration liabilities 0.0 0.0
Derivative instruments 0.2 0.5
Total liabilities measured at fair value 0.2 0.5
Level 1 | U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 109.1 164.7
Level 1 | Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | Asset-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 31.7 42.9
Level 1 | Preferred stocks    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | U.S. States, municipalities and political subdivision    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 1 | Fixed income mutual funds    
Assets measured at fair value    
Equity securities 175.3 157.7
Level 1 | Common stocks    
Assets measured at fair value    
Equity securities 228.1 222.3
Level 1 | Other equity securities    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 1 | Loan participation    
Assets measured at fair value    
Loan participation 0.0 0.0
Level 2    
Assets measured at fair value    
Fixed maturity investments 1,523.2 1,736.2
Equity securities 1.8 0.0
Short-term investments 11.5 36.2
Other long-term investments 0.0 0.0
Total investments 1,536.5 1,772.4
Derivative instruments 0.0 0.0
Total assets measured at fair value 1,536.5 1,772.4
Liabilities measured at fair value    
Contingent consideration liabilities 0.0 0.0
Derivative instruments 0.0 0.0
Total liabilities measured at fair value 0.0 0.0
Level 2 | U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 1.4 3.2
Level 2 | Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments 474.1 695.8
Level 2 | Asset-backed securities    
Assets measured at fair value    
Fixed maturity investments 486.8 494.5
Level 2 | Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 438.9 413.5
Level 2 | Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 89.0 115.9
Level 2 | Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 31.3 7.4
Level 2 | Preferred stocks    
Assets measured at fair value    
Fixed maturity investments 0.0 3.1
Level 2 | U.S. States, municipalities and political subdivision    
Assets measured at fair value    
Fixed maturity investments 1.7 2.8
Level 2 | Fixed income mutual funds    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 2 | Common stocks    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 2 | Other equity securities    
Assets measured at fair value    
Equity securities 1.8 0.0
Level 2 | Loan participation    
Assets measured at fair value    
Loan participation 0.0 0.0
Level 3    
Assets measured at fair value    
Fixed maturity investments 17.0 5.4
Equity securities 0.0 0.0
Short-term investments 0.0 0.0
Other long-term investments 77.8 63.6
Total investments 94.8 69.0
Derivative instruments 10.1 4.1
Total assets measured at fair value 124.9 73.1
Liabilities measured at fair value    
Contingent consideration liabilities 28.2 28.8
Derivative instruments 9.3 4.6
Total liabilities measured at fair value 37.5 33.4
Level 3 | U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Asset-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Preferred stocks    
Assets measured at fair value    
Fixed maturity investments 17.0 5.4
Level 3 | U.S. States, municipalities and political subdivision    
Assets measured at fair value    
Fixed maturity investments 0.0 0.0
Level 3 | Fixed income mutual funds    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 3 | Common stocks    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 3 | Other equity securities    
Assets measured at fair value    
Equity securities 0.0 0.0
Level 3 | Loan participation    
Assets measured at fair value    
Loan participation $ 20.0 $ 0.0