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Investments in debt and equity securities - Additional Information (Details)
$ in Millions
Sep. 30, 2018
USD ($)
investment
Dec. 31, 2017
USD ($)
Investments, Debt and Equity Securities [Abstract]    
Net unrealized investment gains on equity securities held | $ $ 7.0 $ 5.8
Number of investments in an unrealized loss position 334  
Number of investments in an unrealized loss positions for more than 12 months 83