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Premiums and Reinsurance Related Information (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Jun. 30, 2022
Dec. 31, 2021
Jun. 30, 2021
Dec. 31, 2020
Written premiums:                
Written premiums, direct $ 2,775,236 $ 2,490,875 $ 8,075,311 $ 7,063,151        
Written premiums, assumed 306,702 296,623 918,864 870,295        
Written premiums, ceded (504,664) (462,360) (1,418,012) (1,346,089)        
Total net premiums written 2,577,274 2,325,138 7,576,163 6,587,357        
Earned premiums:                
Earned premiums, direct 2,617,680 2,276,173 7,533,856 6,430,957        
Earned premiums, assumed 318,962 273,808 903,882 792,515        
Earned premiums, ceded (494,681) (468,963) (1,389,533) (1,320,874)        
Net premiums earned 2,441,961 2,081,018 7,048,205 5,902,598        
Ceded losses and loss expenses incurred 347,439 318,283 905,667 872,186        
Ceded commissions earned 121,721 113,523 356,157 322,037        
Cumulative effect adjustment resulting from changes in accounting principles $ 7,999 $ 7,277 $ 7,999 $ 7,277 $ 7,744 $ 7,713 $ 7,283 $ 7,801