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Revenue by Operating Segment (Detail) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 580,976 $ 495,224
Ceded Written Premiums (119,309) (101,962)
Net Written Premiums 461,667 393,262
Net Earned Premiums $ 377,189 322,627
% Change Gross Written Premiums 17.30%  
% Change Ceded Written Premiums 17.00%  
% Change Net Written Premiums 17.40%  
% Change Net Earned Premiums 16.90%  
U.S.Insurance    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 291,967 239,928
Ceded Written Premiums (73,795) (66,581)
Net Written Premiums 218,172 173,347
Net Earned Premiums $ 202,037 172,913
% Change Gross Written Premiums 21.70%  
% Change Ceded Written Premiums 10.80%  
% Change Net Written Premiums 25.90%  
% Change Net Earned Premiums 16.80%  
U.S.Insurance | Marine    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 47,801 41,724
Ceded Written Premiums (15,077) (17,480)
Net Written Premiums 32,724 24,244
Net Earned Premiums $ 23,357 21,092
% Change Gross Written Premiums 14.60%  
% Change Ceded Written Premiums (13.70%)  
% Change Net Written Premiums 35.00%  
% Change Net Earned Premiums 10.70%  
U.S.Insurance | Property Casualty    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 207,802 168,193
Ceded Written Premiums (53,544) (44,912)
Net Written Premiums 154,258 123,281
Net Earned Premiums $ 151,171 127,590
% Change Gross Written Premiums 23.50%  
% Change Ceded Written Premiums 19.20%  
% Change Net Written Premiums 25.10%  
% Change Net Earned Premiums 18.50%  
U.S.Insurance | Professional Liability    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 36,364 30,011
Ceded Written Premiums (5,174) (4,189)
Net Written Premiums 31,190 25,822
Net Earned Premiums $ 27,509 24,231
% Change Gross Written Premiums 21.20%  
% Change Ceded Written Premiums 23.50%  
% Change Net Written Premiums 20.80%  
% Change Net Earned Premiums 13.50%  
International Insurance    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 156,129 127,872
Ceded Written Premiums (37,731) (28,888)
Net Written Premiums 118,398 98,984
Net Earned Premiums $ 108,913 93,210
% Change Gross Written Premiums 22.10%  
% Change Ceded Written Premiums 30.60%  
% Change Net Written Premiums 19.60%  
% Change Net Earned Premiums 16.80%  
International Insurance | Marine    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 54,861 56,478
Ceded Written Premiums (11,236) (8,054)
Net Written Premiums 43,625 48,424
Net Earned Premiums $ 35,744 39,279
% Change Gross Written Premiums (2.90%)  
% Change Ceded Written Premiums 39.50%  
% Change Net Written Premiums (9.90%)  
% Change Net Earned Premiums (9.00%)  
International Insurance | Property Casualty    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 58,567 33,960
Ceded Written Premiums (14,037) (13,667)
Net Written Premiums 44,530 20,293
Net Earned Premiums $ 36,033 21,769
% Change Gross Written Premiums 72.50%  
% Change Ceded Written Premiums 2.70%  
% Change Net Written Premiums 119.40%  
% Change Net Earned Premiums 65.50%  
International Insurance | Professional Liability    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 42,701 37,434
Ceded Written Premiums (12,458) (7,167)
Net Written Premiums 30,243 30,267
Net Earned Premiums $ 37,136 32,162
% Change Gross Written Premiums 14.10%  
% Change Ceded Written Premiums 73.80%  
% Change Net Written Premiums (0.10%)  
% Change Net Earned Premiums 15.50%  
Global Reinsurance    
Segment Reporting Information [Line Items]    
Gross Written Premiums $ 132,880 127,424
Ceded Written Premiums (7,783) (6,493)
Net Written Premiums 125,097 120,931
Net Earned Premiums $ 66,239 $ 56,504
% Change Gross Written Premiums 4.30%  
% Change Ceded Written Premiums 19.90%  
% Change Net Written Premiums 3.40%  
% Change Net Earned Premiums 17.20%