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Investment Securities - Other long-term investments (Details) - USD ($)
$ in Millions
Sep. 30, 2020
Dec. 31, 2019
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments $ 1,171.2 $ 856.3
Marketing Technology (MediaAlpha)    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 475.0 180.0
Asset Management (Kudu)    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 325.5 266.5
PassportCard/DavidShield    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 95.0 90.0
Elementum Holdings, L.P.    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 55.1 55.1
Other unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 31.8 33.7
Total unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 982.4 625.3
Private equity funds and hedge funds    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 118.2 161.1
Insurance-linked securities funds    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 52.7 41.2
Private debt instruments    
Debt and Equity Securities, FV-NI [Line Items]    
Other Long-term Investments 17.9 28.7
Private debt investments $ 5.1 $ 5.0