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Unaudited Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Quarterly Financial Information Disclosure [Abstract]                      
Net premiums earned $ 266,267 $ 267,857 $ 247,102 $ 249,762 $ 245,665 $ 250,426 $ 246,964 $ 232,107 $ 1,030,988 $ 975,162 $ 934,747
Investment income, net of expenses 41,322 42,715 42,423 40,585 38,328 36,380 34,502 32,121 167,045 141,331 120,871
Realized (losses) gains 1,320 4,205 307 (526) (241) 1,114 (1,897) (329) 5,306 (1,353) 231
Other revenue 2,717 3,606 2,485 1,830 1,881 2,525 2,431 1,871 10,638 8,708 10,205
Loss incurred, net 23,690 33,985 21,836 39,064 27,685 (1,518) (13,455) 23,850 118,575 36,562 53,709
Underwriting and other expenses, net 65,227 61,278 59,270 61,650 63,239 60,069 57,933 61,895 247,425 243,136  
Loss on debt extinguishment                 0 0 65
Provision for income tax 45,599 46,186 43,433 38,996 36,963 49,994 50,708 36,388 174,214 174,053 428,735
Net income $ 177,110 $ 176,934 $ 167,778 $ 151,941 $ 157,746 $ 181,900 $ 186,814 $ 143,637 $ 673,763 $ 670,097 $ 355,761
Earnings per Share [Abstract]                      
Basic (in dollars per share) $ 0.51 $ 0.50 $ 0.47 $ 0.43 $ 0.44 $ 0.50 $ 0.51 $ 0.39 $ 1.91 $ 1.83 $ 0.98
Diluted (in dollars per share) $ 0.49 $ 0.49 $ 0.46 $ 0.42 $ 0.43 $ 0.49 $ 0.49 $ 0.38 $ 1.85 $ 1.78 $ 0.95