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Fair value measurements - Fair value measurements by level (Details) - USD ($)
$ in Millions
Jun. 30, 2020
Dec. 31, 2019
Jun. 30, 2019
Assets measured at fair value      
Fixed maturity investments $ 1,904.7 $ 1,681.0  
Equity securities 149.9 405.2  
Short-term investments included assets held for sale 1,048.1    
Short-term investments 1,038.8 1,085.2  
Other long-term investments 78.2 77.8  
Total investments 3,180.9 3,249.2  
Derivative instruments 7.0 11.4  
Total assets measured at fair value 3,215.2 3,280.6  
Liabilities measured at fair value      
Contingent consideration liabilities 22.9 28.2  
Derivative instruments 1.4 9.5  
Total liabilities measured at fair value 24.3 37.7  
Assets held-for-sale 9.2    
U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 104.5 110.5  
Corporate debt securities      
Assets measured at fair value      
Fixed maturity investments 483.7 474.1  
Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 428.2 438.9  
Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 723.2 486.8  
Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 96.5 89.0  
Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 50.1 63.0  
Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 16.8 17.0  
U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 1.7 1.7  
Fixed income mutual funds      
Assets measured at fair value      
Equity securities 1.7 175.3  
Common shares      
Assets measured at fair value      
Equity securities 161.5 228.1  
Other equity securities      
Assets measured at fair value      
Equity securities 13.3 1.8  
Hedge funds and private equity funds      
Liabilities measured at fair value      
Fair value of hedges 289.9 269.0 $ 291.9
Level 1 Inputs      
Assets measured at fair value      
Fixed maturity investments 132.0 140.8  
Equity securities 146.9 403.4  
Short-term investments included assets held for sale 1,000.2    
Short-term investments   1,073.7  
Other long-term investments 0.0 0.0  
Total investments 1,279.1 1,617.9  
Derivative instruments 4.5 1.3  
Total assets measured at fair value 1,283.6 1,619.2  
Liabilities measured at fair value      
Contingent consideration liabilities 0.0 0.0  
Derivative instruments 0.4 0.2  
Total liabilities measured at fair value 0.4 0.2  
Level 1 Inputs | U.S. Government and government agency      
Assets measured at fair value      
Fixed maturity investments 103.5 109.1  
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 28.5 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 1.7 175.3  
Level 1 Inputs | Common shares      
Assets measured at fair value      
Equity securities 161.5 228.1  
Level 1 Inputs | Other equity securities      
Assets measured at fair value      
Equity securities 16.3 0.0  
Level 2 Inputs      
Assets measured at fair value      
Fixed maturity investments 1,770.1 1,523.2  
Equity securities 3.0 1.8  
Short-term investments included assets held for sale 47.9    
Short-term investments   11.5  
Other long-term investments 0.0 0.0  
Total investments 1,821.0 1,536.5  
Derivative instruments 0.0 0.0  
Total assets measured at fair value 1,821.0 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 483.7 474.1  
Level 2 Inputs | Residential mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 428.2 438.9  
Level 2 Inputs | Asset-backed securities      
Assets measured at fair value      
Fixed maturity investments 723.2 486.8  
Level 2 Inputs | Commercial mortgage-backed securities      
Assets measured at fair value      
Fixed maturity investments 96.5 89.0  
Level 2 Inputs | Non-U.S. government and government agency      
Assets measured at fair value      
Fixed maturity investments 21.6 31.3  
Level 2 Inputs | Preferred stocks      
Assets measured at fair value      
Fixed maturity investments 14.2 0.0  
Level 2 Inputs | U.S. States, municipalities, and political subdivision      
Assets measured at fair value      
Fixed maturity investments 1.7 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 (3.0) 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 included assets held for sale 0.0    
Short-term investments   0.0  
Other long-term investments 78.2 77.8  
Total investments 80.8 94.8  
Derivative instruments 2.5 10.1  
Total assets measured at fair value 110.6 124.9  
Liabilities measured at fair value      
Contingent consideration liabilities 22.9 28.2  
Derivative instruments 1.0 9.3  
Total liabilities measured at fair value 23.9 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 27.3 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 $ 27.3 $ 20.0