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Fair value measurements - Rollforward of Level 3 Fair Value Measurements (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Rollforward of Level 3 Fair Value Measurements    
Transfers out $ 0.0  
Rollforward of Level 3, Derivative instruments assets & (liabilities)    
Balance at beginning of the period (6.1) $ 12.7
Total realized and unrealized gains (losses) 12.0 (14.6)
Sales/Settlements (6.4) (4.2)
Balance at end of the period (0.5) (6.1)
Contingent consideration (liabilities)    
Rollforward of Level 3, (liabilities)    
Balance at beginning of the period (42.8)  
Fair value of contingent consideration liabilities at date of purchase   (122.2)
Total realized and unrealized gains 9.6 48.8
Sales/Settlements 4.4 (30.6)
Balance at end of the period (28.8) (42.8)
Fixed maturity investments    
Rollforward of Level 3 Fair Value Measurements    
Balance at beginning of the period 8.0 27.7
Total realized and unrealized gains (6.1) (4.9)
Purchases 4.0 4.7
Sales/settlements (0.5) (1.0)
Transfers out   (18.4)
Balance at end of the period 5.4 8.0
Fixed maturity investments | Foreign currency losses    
Rollforward of Level 3 Fair Value Measurements    
Losses through Other Comprehensive Income   (0.1)
Other long-term investments    
Rollforward of Level 3 Fair Value Measurements    
Balance at beginning of the period 64.2 29.1
Total realized and unrealized gains 6.8 (0.5)
Purchases 1.2 36.0
Sales/settlements (4.2) (1.4)
Balance at end of the period 63.6 64.2
Other long-term investments | Foreign currency losses    
Rollforward of Level 3 Fair Value Measurements    
Losses through Other Comprehensive Income (4.4) 1.0
Hedge funds and private equity funds    
Rollforward of Level 3, (liabilities)    
Fair value of hedges $ 301.5 $ 205.3