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Unaudited Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Quarterly Financial Information Disclosure [Abstract]                      
Net premiums earned $ 245,665 $ 250,426 $ 246,964 $ 232,107 $ 237,425 $ 237,083 $ 231,136 $ 229,103 $ 975,162 $ 934,747 $ 925,226
Investment income, net of expenses 38,328 36,380 34,502 32,121 31,276 30,402 29,716 29,477 141,331 120,871 110,666
Realized (losses) gains (241) 1,114 (1,897) (329) 458 (50) (52) (125) (1,353) 231 8,921
Other revenue 1,881 2,525 2,431 1,871 2,343 2,925 2,512 2,425 8,708 10,205 17,670
Loss incurred, net 27,685 (1,518) (13,455) 23,850 (30,996) 29,747 27,339 27,619 36,562 53,709 240,157
Underwriting and other expenses, net 63,239 60,069 57,933 61,895 57,042 56,146 55,292 59,304 243,136 227,784  
Loss on debt extinguishment         0 0 65 0 0 65 90,531
Provision for income tax 36,963 49,994 50,708 36,388 218,142 64,440 61,994 84,159 174,053 428,735 172,197
Net income $ 157,746 $ 181,900 $ 186,814 $ 143,637 $ 27,314 $ 120,027 $ 118,622 $ 89,798 $ 670,097 $ 355,761 $ 342,517
Earnings per Share [Abstract]                      
Basic (in dollars per share) $ 0.44 $ 0.50 $ 0.51 $ 0.39 $ 0.07 $ 0.32 $ 0.32 $ 0.26 $ 1.83 $ 0.98 $ 1.00
Diluted (in dollars per share) $ 0.43 $ 0.49 $ 0.49 $ 0.38 $ 0.07 $ 0.32 $ 0.31 $ 0.24 $ 1.78 $ 0.95 $ 0.86