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Premiums and Reinsurance Related Information (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Mar. 31, 2020
Dec. 31, 2019
Written premiums:            
Written premiums, direct $ 1,892,359 $ 1,883,032 $ 3,856,848 $ 3,712,847    
Written premiums, assumed 239,887 206,828 506,769 423,243    
Written premiums, ceded (392,428) (346,396) (777,953) (683,025)    
Total net premiums written 1,739,818 1,743,464 3,585,664 3,453,065    
Earned premiums:            
Earned premiums, direct 1,804,844 1,773,437 3,634,558 3,497,047    
Earned premiums, assumed 232,996 198,661 461,210 386,852    
Earned premiums, ceded (360,925) (325,257) (727,435) (644,202)    
Net premiums earned 1,676,915 1,646,841 3,368,333 3,239,697    
Ceded losses and loss expenses incurred 232,873 239,267 468,055 412,314    
Ceded commissions earned 85,593 $ 73,092 166,638 $ 144,109    
Cumulative effect adjustment resulting from changes in accounting principles $ 7,175   $ 7,175   $ 6,800 $ 690