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Fair value measurements - Rollforward of level 3 fair value measurements (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Dec. 31, 2019
Rollforward of Level 3, Derivative instruments assets & (liabilities)      
Balance at beginning of the period $ 0.8 $ (0.5)  
Total realized and unrealized gains (losses) (13.3) (5.1)  
Purchases 0.0 0.0  
Sales/Settlements 3.6 0.8  
Balance at end of the period (8.9) (4.8)  
Hedge funds and private equity funds      
Rollforward of Level 3, (liabilities)      
Fair value of hedges 279.6 301.7 $ 269.0
Fixed maturity investments      
Rollforward of Level 3 Fair Value Measurements      
Balance at beginning of the period 17.0 5.4  
Total realized and unrealized gains (losses) 2.6 0.0  
Purchases 0.0 0.0  
Sales/Settlements (17.0) (5.4)  
Balance at end of the period 2.6 0.0  
Other long-term investments      
Rollforward of Level 3 Fair Value Measurements      
Balance at beginning of the period 77.8 63.6  
Total realized and unrealized gains (losses) (0.9) 9.3  
Purchases 0.0 15.8  
Sales/Settlements 0.0 0.0  
Balance at end of the period 75.9 88.0  
Loan participation      
Rollforward of Level 3 Fair Value Measurements      
Balance at beginning of the period 20.0 0.0  
Total realized and unrealized gains (losses) 0.0 0.0  
Purchases 0.0 0.0  
Sales/Settlements (0.1) 0.0  
Balance at end of the period 19.9 0.0  
Contingent consideration (liabilities)      
Rollforward of Level 3, (liabilities)      
Balance at beginning of the period (28.2) (28.8)  
Total realized and unrealized gains (losses) (0.1) 0.0  
Foreign currency gains (losses) through Other Comprehensive Income 0.0 0.0  
Purchases 0.0 0.0  
Sales/Settlements 0.0 0.0  
Balance at end of the period (28.3) (28.8)  
Other Comprehensive Income Foreign Currency Gain Loss [Member]      
Rollforward of Level 3, Derivative instruments assets & (liabilities)      
Foreign currency gains (losses) through Other Comprehensive Income 0.0 0.0  
Other Comprehensive Income Foreign Currency Gain Loss [Member] | Fixed maturity investments      
Rollforward of Level 3 Fair Value Measurements      
Gains (losses) through Other Comprehensive Income 0.0 0.0  
Other Comprehensive Income Foreign Currency Gain Loss [Member] | Other long-term investments      
Rollforward of Level 3 Fair Value Measurements      
Gains (losses) through Other Comprehensive Income (1.0) (0.7)  
Other Comprehensive Income Foreign Currency Gain Loss [Member] | Loan participation      
Rollforward of Level 3 Fair Value Measurements      
Gains (losses) through Other Comprehensive Income $ 0.0 $ 0.0