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Fair Value Measurements - Financial Assets Measured on Recurring Basis (Details) - USD ($)
$ in Millions
Mar. 31, 2018
Dec. 31, 2017
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value $ 35.0 $ 33.5
Derivatives at fair value 15.6 6.4
Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value 34.8 32.4
Loan notes issued by variable interest entities, at fair value (32.2) (44.2)
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) (7.6) (42.4)
Total 7,139.7 7,485.4
Fair Value, Measurements, Recurring | Short term investments, trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 27.0 73.0
Fair Value, Measurements, Recurring | Equity investments trading, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 491.0
Fair Value, Measurements, Recurring | Derivatives at fair value, assets | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 15.6 6.4
Fair Value, Measurements, Recurring | Liabilities under derivative contracts — foreign exchange contracts | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities at fair value (2.3) (1.0)
Available for sale financial assets | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 5,412.2 5,231.0
Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,292.2 1,159.4
Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 52.7 52.1
Available for sale financial assets | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 47.6 54.9
Available for sale financial assets | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 2,446.2 2,415.7
Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 97.8 91.3
Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 483.4 484.9
Available for sale financial assets | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 18.5 26.2
Available for sale financial assets | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 973.8 946.5
Short-term investments | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 54.6 89.9
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,637.6 1,649.3
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 141.7 161.9
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 74.3 32.2
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,003.6 1,046.3
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1.0 1.0
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 216.6 202.5
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 8.3 9.9
Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 192.1 195.5
Level 1 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value 0.0 0.0
Loan notes issued by variable interest entities, at fair value 0.0 0.0
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0.0 0.0
Total 1,897.4 2,338.3
Level 1 | Fair Value, Measurements, Recurring | Short term investments, trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 23.3 73.0
Level 1 | Fair Value, Measurements, Recurring | Equity investments trading, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 491.0
Level 1 | Fair Value, Measurements, Recurring | Derivatives at fair value, assets | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0.0 0.0
Level 1 | Fair Value, Measurements, Recurring | Liabilities under derivative contracts — foreign exchange contracts | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,630.2 1,500.6
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,292.2 1,159.4
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 338.0 341.2
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Available for sale financial assets | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Short-term investments | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 52.5 87.3
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 191.4 186.4
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 141.7 161.9
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 49.7 24.5
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 1 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 2 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value 34.8 32.4
Loan notes issued by variable interest entities, at fair value 0.0 0.0
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0.0 0.0
Total 5,282.1 5,233.7
Level 2 | Fair Value, Measurements, Recurring | Short term investments, trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 3.7 0.0
Level 2 | Fair Value, Measurements, Recurring | Equity investments trading, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 2 | Fair Value, Measurements, Recurring | Derivatives at fair value, assets | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 15.6 6.4
Level 2 | Fair Value, Measurements, Recurring | Liabilities under derivative contracts — foreign exchange contracts | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities at fair value (2.3) (1.0)
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 3,782.0 3,730.4
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 52.7 52.1
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 47.6 54.9
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 2,446.2 2,415.7
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 97.8 91.3
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 145.4 143.7
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 18.5 26.2
Level 2 | Available for sale financial assets | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 973.8 946.5
Level 2 | Short-term investments | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 2.1 2.6
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,446.2 1,462.9
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 74.3 32.2
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1,003.6 1,046.3
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 1.0 1.0
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 166.9 178.0
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 8.3 9.9
Level 2 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 192.1 195.5
Level 3 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value 0.0 0.0
Loan notes issued by variable interest entities, at fair value (32.2) (44.2)
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) (7.6) (42.4)
Total (39.8) (86.6)
Level 3 | Fair Value, Measurements, Recurring | Short term investments, trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Fair Value, Measurements, Recurring | Equity investments trading, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Fair Value, Measurements, Recurring | Derivatives at fair value, assets | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0.0 0.0
Level 3 | Fair Value, Measurements, Recurring | Liabilities under derivative contracts — foreign exchange contracts | Foreign Exchange Contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | U.S. agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Available for sale financial assets | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Short-term investments | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Municipal    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government-backed corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Non-U.S. government    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Asset-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value 0.0 0.0
Level 3 | Held for trading financial assets, at fair value | Fair Value, Measurements, Recurring | Agency mortgage-backed    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, at fair value $ 0.0 $ 0.0