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Fair value measurements - Fair value measurements by level (Details) - USD ($)
$ in Millions
Sep. 30, 2020
Dec. 31, 2019
Sep. 30, 2019
Assets measured at fair value      
Fixed maturity investments $ 1,958.9 $ 1,681.0  
Equity securities 158.7 405.2  
Short-term investments 1,132.6 1,085.2  
Other long term investments 86.9 77.8  
Total investments 3,337.1 3,249.2  
Derivative instruments 7.7 11.4  
Total assets measured at fair value 3,373.3 3,280.6  
Liabilities measured at fair value      
Contingent consideration liabilities 0.3 28.2  
Derivative instruments 3.6 9.5  
Total liabilities measured at fair value 3.9 37.7  
U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 116.4 110.5  
Corporate debt securities      
Assets measured at fair value      
Fixed maturity investments 481.9 474.1  
Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 416.5 438.9  
Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 731.6 486.8  
Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 122.2 89.0  
Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 71.1 63.0  
Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 17.9 17.0  
U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 1.3 1.7  
Fixed income mutual funds      
Assets measured at fair value      
Equity securities 1.8 175.3  
Common shares      
Assets measured at fair value      
Equity securities 170.1 228.1  
Other equity securities      
Assets measured at fair value      
Equity securities (13.2) 1.8  
Hedge funds and private equity funds      
Liabilities measured at fair value      
Fair value of hedges 301.1 269.0 $ 287.7
Level 1 Inputs      
Assets measured at fair value      
Fixed maturity investments 136.2 140.8  
Equity securities 155.0 403.4  
Short-term investments 1,068.4 1,073.7  
Other long term investments 0.0 0.0  
Total investments 1,359.6 1,617.9  
Derivative instruments 6.6 1.3  
Total assets measured at fair value 1,366.2 1,619.2  
Liabilities measured at fair value      
Contingent consideration liabilities 0.0 0.0  
Derivative instruments 0.1 0.2  
Total liabilities measured at fair value 0.1 0.2  
Level 1 Inputs | U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 115.4 109.1  
Level 1 Inputs | Corporate debt securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 20.8 31.7  
Level 1 Inputs | Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 1 Inputs | Fixed income mutual funds      
Assets measured at fair value      
Equity securities 1.8 175.3  
Level 1 Inputs | Common shares      
Assets measured at fair value      
Equity securities 170.1 228.1  
Level 1 Inputs | Other equity securities      
Assets measured at fair value      
Equity securities (16.9) 0.0  
Level 2 Inputs      
Assets measured at fair value      
Fixed maturity investments 1,820.1 1,523.2  
Equity securities 3.7 1.8  
Short-term investments 64.2 11.5  
Other long term investments 0.0 0.0  
Total investments 1,888.0 1,536.5  
Derivative instruments 0.0 0.0  
Total assets measured at fair value 1,888.0 1,536.5  
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 Inputs | U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 1.0 1.4  
Level 2 Inputs | Corporate debt securities      
Assets measured at fair value      
Fixed maturity investments 481.9 474.1  
Level 2 Inputs | Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 416.5 438.9  
Level 2 Inputs | Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 731.6 486.8  
Level 2 Inputs | Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 122.2 89.0  
Level 2 Inputs | Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 50.3 31.3  
Level 2 Inputs | Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 15.3 0.0  
Level 2 Inputs | U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 1.3 1.7  
Level 2 Inputs | Fixed income mutual funds      
Assets measured at fair value      
Equity securities 0.0 0.0  
Level 2 Inputs | Common shares      
Assets measured at fair value      
Equity securities 0.0 0.0  
Level 2 Inputs | Other equity securities      
Assets measured at fair value      
Equity securities 3.7 1.8  
Level 3 Inputs      
Assets measured at fair value      
Fixed maturity investments 2.6 17.0  
Equity securities 0.0 0.0  
Short-term investments 0.0 0.0  
Other long term investments 86.9 77.8  
Total investments 89.5 94.8  
Derivative instruments 1.1 10.1  
Total assets measured at fair value 119.1 124.9  
Liabilities measured at fair value      
Contingent consideration liabilities 0.3 28.2  
Derivative instruments 3.5 9.3  
Total liabilities measured at fair value 3.8 37.5  
Level 3 Inputs | U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Corporate debt securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 2.6 17.0  
Level 3 Inputs | U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 0.0 0.0  
Level 3 Inputs | Fixed income mutual funds      
Assets measured at fair value      
Equity securities 0.0 0.0  
Level 3 Inputs | Common shares      
Assets measured at fair value      
Equity securities 0.0 0.0  
Level 3 Inputs | Other equity securities      
Assets measured at fair value      
Equity securities 0.0 0.0  
Loan participation      
Assets measured at fair value      
Loan participation 28.5 20.0  
Loan participation | Level 1 Inputs      
Assets measured at fair value      
Loan participation 0.0 0.0  
Loan participation | Level 2 Inputs      
Assets measured at fair value      
Loan participation 0.0 0.0  
Loan participation | Level 3 Inputs      
Assets measured at fair value      
Loan participation $ 28.5 $ 20.0