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Segment Information (Net Premiums Earned by Line of Business) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2015
Sep. 30, 2014
Segment Reporting Information [Line Items]        
Net premiums earned $ 650,653 $ 541,737 $ 1,865,577 $ 1,609,269
Operating Segments [Member] | North American Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 332,722 277,203 974,232 808,453
Operating Segments [Member] | North American Insurance [Member] | Casualty [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 112,093 86,114 326,236 240,981
Operating Segments [Member] | North American Insurance [Member] | Professional Liability [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 87,678 68,512 251,005 197,042
Operating Segments [Member] | North American Insurance [Member] | Property [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 39,333 42,457 123,201 127,402
Operating Segments [Member] | North American Insurance [Member] | Programs [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 38,306 28,933 109,163 88,109
Operating Segments [Member] | North American Insurance [Member] | Healthcare [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 35,322 40,775 111,759 126,591
Operating Segments [Member] | North American Insurance [Member] | Specialty and Other [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 19,990 10,412 52,868 28,328
Operating Segments [Member] | Global Markets Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 110,327 41,574 262,993 114,584
Operating Segments [Member] | Global Markets Insurance [Member] | Casualty [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 32,033 4,396 68,979 10,298
Operating Segments [Member] | Global Markets Insurance [Member] | Professional Liability [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 27,719 17,001 76,976 47,091
Operating Segments [Member] | Global Markets Insurance [Member] | Property [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 20,623 8,262 47,152 25,260
Operating Segments [Member] | Global Markets Insurance [Member] | Specialty and Other [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 29,952 11,915 69,886 31,935
Operating Segments [Member] | Reinsurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 207,604 222,960 628,352 686,232
Operating Segments [Member] | Reinsurance [Member] | Property [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 102,329 113,560 311,498 379,575
Operating Segments [Member] | Reinsurance [Member] | Casualty [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned 58,170 65,915 173,953 163,591
Operating Segments [Member] | Reinsurance [Member] | Specialty [Member]        
Segment Reporting Information [Line Items]        
Net premiums earned $ 47,105 $ 43,485 $ 142,901 $ 143,066