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Investment securities - Equity securities and Other long-term investments (Details) - USD ($)
$ in Millions
6 Months Ended 12 Months Ended
Jun. 30, 2019
Dec. 31, 2018
Equity securities    
Equity securities and Other long-term investments    
Cost or amortized cost $ 376.2 $ 409.4
Gross unrealized gains 38.6 17.8
Gross unrealized losses (36.7) (50.8)
Net foreign currency gains (losses) 9.7 3.6
Fair value 387.8 380.0
Other long-term investments    
Equity securities and Other long-term investments    
Cost or amortized cost 349.9 337.6
Gross unrealized gains 44.2 32.6
Gross unrealized losses (24.6) (13.5)
Net foreign currency gains (losses) 10.4 8.3
Fair value 379.9 365.0
Other long-term investments | Hedge funds and private equity funds    
Equity securities and Other long-term investments    
Fair value 291.9 301.4
Other long-term investments | Limited liability companies and private equity securities    
Equity securities and Other long-term investments    
Fair value 88.0 63.6
Investment grade fixed income mutual funds    
Equity securities and Other long-term investments    
Fair value 151.9 157.7
Common shares    
Equity securities and Other long-term investments    
Fair value 233.4 $ 222.3
Other    
Equity securities and Other long-term investments    
Fair value $ 2.5