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Investment Securities - Other long-term investments (Details) - USD ($)
$ in Millions
Sep. 30, 2021
Dec. 31, 2020
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments $ 1,285.5 $ 786.8
Asset Management (Kudu)    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 604.7 400.6
PassportCard/DavidShield    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 105.0 95.0
Elementum Holdings L.P.    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 56.7 55.1
Other unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 27.0 42.4
Total unconsolidated entities    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 793.4 593.1
Private equity funds and hedge funds    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 144.2 121.2
Lloyd’s trust deposits    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 111.2 0.0
Bank loan fund    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 161.7 0.0
ILS funds    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 53.9 51.4
Private debt investments    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments 13.3 21.1
Other    
Debt and Equity Securities, FV-NI [Line Items]    
Total other long-term investments $ 7.8 $ 0.0