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Business Segments (Financial Information of Company Operating Segments) (Details)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2018
USD ($)
Sep. 30, 2017
USD ($)
Sep. 30, 2018
USD ($)
segment
Sep. 30, 2017
USD ($)
Segment Reporting Information [Line Items]        
Number of reportable segments | segment     2  
Earned Premiums $ 1,603,485 $ 1,581,500 $ 4,751,947 $ 4,720,244
Investment Income 186,124 142,479 514,419 426,601
Other 148,293 307,363 473,700 602,963
Total revenues 1,937,902 2,031,342 5,740,066 5,749,808
Pre-Tax Income (Loss) 209,223 226,113 649,455 571,370
Net Income (Loss) to Common Stockholders 161,920 162,054 508,392 394,505
Net investment gains 22,334 183,959 140,429 276,760
Net investment gains, net of tax 17,644 119,573 110,939 179,894
Corporate, other and eliminations        
Segment Reporting Information [Line Items]        
Earned Premiums 0 0 0 0
Investment Income 15,979 15,027 47,306 38,251
Other 106,512 123,404 276,148 326,203
Total revenues 122,491 138,431 323,454 364,454
Pre-Tax Income (Loss) (54,759) (71,681) (195,597) (224,716)
Net Income (Loss) to Common Stockholders (45,862) (45,685) (158,949) (146,324)
Insurance        
Segment Reporting Information [Line Items]        
Earned Premiums 1,488,658 1,433,729 4,377,003 4,262,485
Insurance | Operating Segments        
Segment Reporting Information [Line Items]        
Earned Premiums 1,488,658 1,433,729 4,377,003 4,262,485
Investment Income 146,319 105,924 396,514 320,552
Other 19,447 0 57,123 0
Total revenues 1,654,424 1,539,653 4,830,640 4,583,037
Pre-Tax Income (Loss) 226,856 171,478 653,936 557,605
Net Income (Loss) to Common Stockholders 178,571 123,240 516,397 381,736
Reinsurance        
Segment Reporting Information [Line Items]        
Earned Premiums 114,827 147,771 374,944 457,759
Reinsurance | Operating Segments        
Segment Reporting Information [Line Items]        
Earned Premiums 114,827 147,771 374,944 457,759
Investment Income 23,826 21,528 70,599 67,798
Other 0 0 0 0
Total revenues 138,653 169,299 445,543 525,557
Pre-Tax Income (Loss) 14,792 (57,643) 50,687 (38,279)
Net Income (Loss) to Common Stockholders 11,567 (35,074) 40,005 (20,801)
Re-insurance - International | Operating Segments        
Segment Reporting Information [Line Items]        
Total revenues 51,000 49,000 163,000 150,000
Net investment gains        
Segment Reporting Information [Line Items]        
Earned Premiums 0 0 0 0
Investment Income 0 0 0 0
Insurance-International Segment | Operating Segments        
Segment Reporting Information [Line Items]        
Total revenues $ 176,000 $ 166,000 $ 535,000 $ 513,000