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Reinsurance (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2018
Jun. 30, 2017
Dec. 31, 2017
Written premiums:          
Written premiums, direct $ 1,785,266 $ 1,727,014 $ 3,572,501 $ 3,448,076  
Written premiums, assumed 162,808 160,139 354,995 375,283  
Written premiums, ceded (323,970) (322,902) (638,054) (612,270)  
Total net premiums written 1,624,104 1,564,251 3,289,442 3,211,089  
Earned premiums:          
Earned premiums, direct 1,705,277 1,666,938 3,379,827 3,280,302  
Earned premiums, assumed 180,509 193,683 369,375 402,310  
Earned premiums, ceded (304,733) (291,918) (600,741) (543,868)  
Net premiums earned 1,581,053 1,568,703 3,148,461 3,138,744  
Ceded losses and loss expenses incurred 161,073 142,609 400,068 177,801  
Ceded commissions earned 65,922 $ 57,752 132,278 $ 114,302  
Uncollectible reinsurance $ 1,000   $ 1,000   $ 1,000