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Investment Securities (Other long-term investments) (Details) - USD ($)
$ in Millions
Sep. 30, 2019
Dec. 31, 2018
Kudu Investment Management, LLC    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments $ 219.3 $ 0.0
MediaAlpha    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 150.0 0.0
DavidShield & PassportCard    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 90.0 75.0
Elementum Holdings, L.P.    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 55.1 0.0
Other unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 39.5 60.0
Kudu    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 0.0 30.7
Total unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 553.9 165.7
Hedge and private equity funds included in other long-term investments    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 145.5 146.1
Insurance-linked securities funds    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 41.4 0.0
Other long-term investments    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments 32.9 13.8
White Mountains    
Debt and Equity Securities, FV-NI [Line Items]    
Other Investments $ 773.7 $ 325.6