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Reinsurance (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Dec. 31, 2018
Written premiums:          
Written premiums, direct $ 1,853,881 $ 1,746,197 $ 5,566,728 $ 5,318,698  
Written premiums, assumed 239,169 181,587 662,412 536,582  
Written premiums, ceded (343,144) (303,570) (1,026,169) (941,624)  
Total net premiums written 1,749,906 1,624,214 5,202,971 4,913,656  
Earned premiums:          
Earned premiums, direct 1,797,726 1,735,576 5,294,773 5,115,403  
Earned premiums, assumed 209,094 177,996 595,946 547,372  
Earned premiums, ceded (330,010) (310,087) (974,212) (910,828)  
Net premiums earned 1,676,810 1,603,485 4,916,507 4,751,947  
Ceded losses and loss expenses incurred 172,009 186,538 584,323 586,607  
Ceded commissions earned 76,001 $ 68,938 220,110 $ 201,216  
Uncollectible reinsurance $ 1,000   $ 1,000   $ 1,000