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Industry Segments (Financial Information of Company Operating Segments) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2016
Sep. 30, 2015
Segment Reporting Information [Line Items]        
Earned Premiums $ 1,585,944 $ 1,531,558 $ 4,673,072 $ 4,496,612
Investment Income and Funds 145,668 133,214 404,850 385,036
Other Revenues 288,115 196,185 604,618 513,753
Total revenues 2,019,727 1,860,957 5,682,540 5,395,401
Pre-Tax Income (Loss) 331,615 228,920 664,605 575,824
Net Income (Loss) 220,650 152,607 449,127 393,949
Net investment gains 175,736 53,904 189,394 100,505
Net investment gains, net of tax 114,228 35,038 123,106 65,328
Intersegment Eliminations and Corporate, Non-Segment [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums [1] 0 0 0 0
Investment Income and Funds [1] 6,802 6,757 22,827 21,124
Other Revenues [1] 89,560 119,260 338,009 340,267
Total revenues [1] 96,362 126,017 360,836 361,391
Pre-Tax Income (Loss) [1] (81,941) (51,506)   (170,226)
Net Income (Loss) [1] (53,055) (37,684) (123,610) (116,094)
Insurance-Domestic Segment [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums 1,431,664 1,379,501 4,206,887 4,042,159
Insurance-Domestic Segment [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums 1,431,664 1,379,501 4,206,887 4,042,159
Investment Income and Funds 117,388 106,989 322,779 309,337
Other Revenues 22,819 23,021 77,215 72,981
Total revenues 1,571,871 1,509,511 4,606,881 4,424,477
Pre-Tax Income (Loss) 215,649 204,109 604,825 575,748
Net Income (Loss) 144,310 139,446 407,346 395,581
Insurance-International Segment [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Other Revenues       0
Reinsurance-Global Segment [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums 154,280 152,057 466,185 454,453
Reinsurance-Global Segment [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums 154,280 152,057 466,185 454,453
Investment Income and Funds 21,478 19,468 59,244 54,575
Other Revenues 0 0 0  
Total revenues 175,758 171,525 525,429 509,028
Pre-Tax Income (Loss) 22,171 22,413 61,041 69,797
Net Income (Loss) 15,167 15,807 42,285 49,134
Corporate, Other and Eliminations Segment [Member] | Intersegment Eliminations and Corporate, Non-Segment [Member]        
Segment Reporting Information [Line Items]        
Pre-Tax Income (Loss) [1]     (190,655)  
Net Investment Gains Segment [Member]        
Segment Reporting Information [Line Items]        
Earned Premiums 0 0 0  
Investment Income and Funds $ 0 $ 0 $ 0 $ 0
[1] Corporate, other and eliminations represent corporate revenues and expenses that are not allocated to business segments.