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Premiums and Reinsurance Related Information (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Jun. 30, 2020
Dec. 31, 2019
Written premiums:            
Written premiums, direct $ 2,018,530 $ 1,853,881 $ 5,875,379 $ 5,566,728    
Written premiums, assumed 244,015 239,169 750,784 662,412    
Written premiums, ceded (383,229) (343,144) (1,161,183) (1,026,169)    
Total net premiums written 1,879,316 1,749,906 5,464,980 5,202,971    
Earned premiums:            
Earned premiums, direct 1,877,234 1,797,726 5,511,791 5,294,773    
Earned premiums, assumed 237,815 209,094 699,025 595,946    
Earned premiums, ceded (366,128) (330,010) (1,093,563) (974,212)    
Net premiums earned 1,748,921 1,676,810 5,117,253 4,916,507    
Ceded losses and loss expenses incurred 209,706 172,009 677,761 584,323    
Ceded commissions earned 89,104 $ 76,001 255,742 $ 220,110    
Cumulative effect adjustment resulting from changes in accounting principles $ 7,741   $ 7,741   $ 7,175 $ 690