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Reinsurance (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Dec. 31, 2019
Written premiums:      
Written premiums, direct $ 1,964,490 $ 1,829,815  
Written premiums, assumed 266,882 216,415  
Written premiums, ceded (385,526) (336,629)  
Total net premiums written 1,845,846 1,709,601  
Earned premiums:      
Earned premiums, direct 1,829,713 1,723,610  
Earned premiums, assumed 228,214 188,191  
Earned premiums, ceded (366,509) (318,945)  
Net premiums earned 1,691,418 1,592,856  
Ceded losses and loss expenses incurred 235,183 173,046  
Ceded commissions earned 81,045 $ 71,017  
Cumulative effect adjustment resulting from changes in accounting principles $ 6,800   $ 690