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Fair value measurements - Rollforward of Level 3 Fair Value Measurements (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Rollforward of Level 3, Derivative instruments assets & (liabilities)    
Balance at beginning of the period $ (0.5) $ (6.1)
Total realized and unrealized gains (7.1) 12.0
Purchases 0.0 0.0
Sales/settlements 8.4 (6.4)
Balance at end of the period 0.8 (0.5)
Foreign currency losses    
Rollforward of Level 3, Derivative instruments assets & (liabilities)    
Foreign currency losses through Other Comprehensive Income 0.0 0.0
Contingent consideration (liabilities)    
Rollforward of Level 3, (liabilities)    
Balance at beginning of the period (28.8) (42.8)
Total realized and unrealized gains (6.3) 9.6
Foreign currency losses through Other Comprehensive Income 0.0 0.0
Purchases 0.0 0.0
Sales/settlements 6.9 4.4
Balance at end of the period (28.2) (28.8)
Fixed maturity investments    
Rollforward of Level 3 Fair Value Measurements    
Balance at beginning of the period 5.4 8.0
Total realized and unrealized gains 0.0 (6.1)
Purchases 17.0 4.0
Sales/settlements (5.4) (0.5)
Balance at end of the period 17.0 5.4
Fixed maturity investments | Foreign currency losses    
Rollforward of Level 3 Fair Value Measurements    
Foreign currency losses through Other Comprehensive Income 0.0 0.0
Other long-term investments    
Rollforward of Level 3 Fair Value Measurements    
Balance at beginning of the period 63.6 64.2
Total realized and unrealized gains 7.3 6.8
Purchases 15.7 1.2
Sales/settlements (8.2) (4.2)
Balance at end of the period 77.8 63.6
Other long-term investments | Foreign currency losses    
Rollforward of Level 3 Fair Value Measurements    
Foreign currency losses through Other Comprehensive Income (0.6) (4.4)
Loan participation    
Rollforward of Level 3 Fair Value Measurements    
Balance at beginning of the period 0.0 0.0
Total realized and unrealized gains 0.0 0.0
Purchases 20.0 0.0
Sales/settlements 0.0 0.0
Balance at end of the period 20.0 0.0
Loan participation | Foreign currency losses    
Rollforward of Level 3 Fair Value Measurements    
Foreign currency losses through Other Comprehensive Income 0.0 0.0
Hedge funds and private equity funds    
Rollforward of Level 3, (liabilities)    
Fair value of hedges $ 269.0 $ 301.5