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Industry Segments (Financial Information of Company Operating Segments) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Segment Reporting Information [Line Items]                      
Earned Premiums                 $ 6,040,609 $ 5,744,418 $ 5,226,537
Investment Income                 512,645 600,885 544,291
Other Revenues                 653,203 783,625 637,706
Total revenues $ 1,811,056 $ 1,860,957 $ 1,789,765 $ 1,744,679 $ 1,784,428 $ 1,840,605 $ 1,796,989 $ 1,706,906 7,206,457 7,128,928 6,408,534
Pre-Tax Income (Loss)                 732,030 952,196 698,888
Net income to common stockholders $ 109,745 $ 152,607 $ 123,035 $ 118,307 $ 110,711 $ 188,539 $ 179,961 $ 169,673 503,694 648,884 499,925
Net investment gains, before tax                 92,324 254,852 121,544
Net investment gains, net of tax                 60,011 165,654 74,118
Insurance-Domestic                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 4,659,359 4,271,933 3,782,416
Insurance-International                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 772,141 802,375 723,151
Reinsurance-Global                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 609,109 670,110 720,970
Net Investment Gains Segment [Member]                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 0 0 0
Investment Income                 0 0 0
Operating Segments | Insurance-Domestic                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 4,659,359 4,271,933 3,782,416
Investment Income                 358,935 428,632 404,280
Other Revenues                 96,487 106,853 107,517
Total revenues                 5,114,781 4,807,418 4,294,213
Pre-Tax Income (Loss)                 724,667 796,309 648,740
Net income to common stockholders                 495,082 539,461 449,981
Operating Segments | Insurance-International                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 772,141 802,375 723,151
Investment Income                 51,522 55,407 47,039
Other Revenues                 0 0 0
Total revenues                 823,663 857,782 770,190
Pre-Tax Income (Loss)                 51,926 29,779 56,922
Net income to common stockholders                 37,204 22,182 40,292
Operating Segments | Reinsurance-Global                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 609,109 670,110 720,970
Investment Income                 74,226 88,821 89,090
Other Revenues                 0 0 0
Total revenues                 683,335 758,931 810,060
Pre-Tax Income (Loss)                 94,852 115,677 110,425
Net income to common stockholders                 66,627 79,720 78,013
Corporate, Other and Eliminations Segment                      
Segment Reporting Information [Line Items]                      
Earned Premiums                 0 0 [1] 0 [1]
Investment Income                 27,962 28,025 [1] 3,882 [1]
Other Revenues                 464,392 421,920 [1] 408,645 [1]
Total revenues [1]                 492,354 449,945 412,527
Pre-Tax Income (Loss)                 (231,739) (244,421) [1] (238,743) [1]
Net income to common stockholders                 $ (155,230) $ (158,133) [1] $ (142,479) [1]
[1] Corporate, other and eliminations represent corporate revenues and expenses and other items that are not allocated to business segments.