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Segment Information (Distribution of gross and net written premium) (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 7,285,320 $ 6,299,929 $ 5,587,894
Percentage Distribution of gross premiums written 100.00% 100.00% 100.00%
North America      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 3,752,000 $ 2,929,000 $ 2,620,000
Percentage Distribution of gross premiums written 51.00% 47.00% 47.00%
Europe      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 2,155,000 $ 2,152,000 $ 1,866,000
Percentage Distribution of gross premiums written 30.00% 34.00% 33.00%
Asia, Australia and New Zealand      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 835,000 $ 699,000 $ 565,000
Percentage Distribution of gross premiums written 11.00% 11.00% 10.00%
Latin America and the Caribbean      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 264,000 $ 260,000 $ 267,000
Percentage Distribution of gross premiums written 4.00% 4.00% 5.00%
Middle East, Africa, Russia and the Commonwealth of Independent States (CIS)      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 279,000 $ 260,000 $ 270,000
Percentage Distribution of gross premiums written 4.00% 4.00% 5.00%
P&C      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 3,579,000 $ 3,015,000 $ 2,671,000
P&C | Casualty      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 1,394,000 1,052,000 804,000
P&C | Property      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 644,000 615,000 547,000
P&C | Catastrophe      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 537,000 478,000 481,000
P&C | Motor      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 400,000 308,000 262,000
P&C | US Health      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 391,000 405,000 416,000
P&C | Multiline & Other      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 213,000 157,000 161,000
Specialty      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 2,213,000 2,050,000 1,934,000
Specialty | Casualty      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 13,000 42,000 45,000
Specialty | Property      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 151,000 112,000 90,000
Specialty | Multiline & Other      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 276,000 307,000 199,000
Specialty | Financial Risks      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 587,000 549,000 490,000
Specialty | Agriculture      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 483,000 506,000 557,000
Specialty | Aviation & space      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 286,000 228,000 219,000
Specialty | Energy Reinsurance      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 183,000 79,000 63,000
Specialty | Marine      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 132,000 103,000 154,000
Specialty | Engineering      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written 102,000 124,000 117,000
Life and Health      
Distribution Of Gross Premiums Written [Line Items]      
Gross premiums written $ 1,492,778 $ 1,235,149 $ 982,956