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Fair value measurements - Fair Value Measurements by Level (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2018
Assets measured at fair value    
Fixed maturity investments, at fair value $ 2,180.0 $ 1,949.2
Short-term investments, at fair value 625.0 715.5
Equity securities 299.2 380.0
Other long-term investments 64.2 63.6
Total investments 3,168.4 3,108.3
Derivative instruments 4.5 4.1
Total assets measured at fair value 3,172.9 3,112.4
Liabilities measured at fair value    
Contingent consideration liabilities 42.8 28.8
Derivative instruments 10.6 5.1
Total liabilities measured at fair value 53.4 33.9
U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 84.8 167.9
Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 1,014.5 695.8
Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 475.4 494.5
Estate, Equity and Other    
Assets measured at fair value    
Fixed maturity investments, at fair value 293.5 413.5
Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 191.0 115.9
Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 107.2 50.3
Preferred stocks    
Assets measured at fair value    
Fixed maturity investments, at fair value 9.8 8.5
U.S. States, municipalities, and political subdivision    
Assets measured at fair value    
Fixed maturity investments, at fair value 3.8 2.8
Hedge funds and private equity funds    
Liabilities measured at fair value    
Fair value of hedges 205.3 301.4
Fixed maturity investments | Residential mortgage-backed securities    
Liabilities measured at fair value    
Fair value increase (decrease) on reclassification within subcategories 41.4  
Fixed maturity investments | Commercial mortgage-backed securities    
Liabilities measured at fair value    
Fair value increase (decrease) on reclassification within subcategories (41.4)  
Level 1    
Assets measured at fair value    
Fixed maturity investments, at fair value 178.0 207.6
Short-term investments, at fair value 566.2 679.3
Equity securities 298.6 380.0
Total investments 1,042.8 1,266.9
Total assets measured at fair value 1,042.8 1,266.9
Liabilities measured at fair value    
Derivative instruments   0.5
Total liabilities measured at fair value   0.5
Level 1 | U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 83.2 164.7
Level 1 | Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 94.8 42.9
Level 2    
Assets measured at fair value    
Fixed maturity investments, at fair value 1,994.0 1,736.2
Short-term investments, at fair value 58.8 36.2
Equity securities 0.6  
Total investments 2,053.4 1,772.4
Total assets measured at fair value 2,053.4 1,772.4
Level 2 | U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 1.6 3.2
Level 2 | Corporate debt securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 1,014.5 695.8
Level 2 | Residential mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 475.4 494.5
Level 2 | Estate, Equity and Other    
Assets measured at fair value    
Fixed maturity investments, at fair value 293.5 413.5
Level 2 | Commercial mortgage-backed securities    
Assets measured at fair value    
Fixed maturity investments, at fair value 191.0 115.9
Level 2 | Non-U.S. government and government agency    
Assets measured at fair value    
Fixed maturity investments, at fair value 12.4 7.4
Level 2 | Preferred stocks    
Assets measured at fair value    
Fixed maturity investments, at fair value 1.8 3.1
Level 2 | U.S. States, municipalities, and political subdivision    
Assets measured at fair value    
Fixed maturity investments, at fair value 3.8 2.8
Level 2 | Fixed maturity investments | Residential mortgage-backed securities    
Liabilities measured at fair value    
Fair value increase (decrease) on reclassification within subcategories 41.4  
Level 2 | Fixed maturity investments | Commercial mortgage-backed securities    
Liabilities measured at fair value    
Fair value increase (decrease) on reclassification within subcategories (41.4)  
Level 3    
Assets measured at fair value    
Fixed maturity investments, at fair value 8.0 5.4
Other long-term investments 64.2 63.6
Total investments 72.2 69.0
Derivative instruments 4.5 4.1
Total assets measured at fair value 76.7 73.1
Liabilities measured at fair value    
Contingent consideration liabilities 42.8 28.8
Derivative instruments 10.6 4.6
Total liabilities measured at fair value 53.4 33.4
Level 3 | Preferred stocks    
Assets measured at fair value    
Fixed maturity investments, at fair value $ 8.0 $ 5.4