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Allowance for Expected Credit Losses - Ceded credit risk (Details) - USD ($)
$ in Thousands
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Jun. 30, 2022
Sep. 30, 2021
Jun. 30, 2021
Dec. 31, 2020
Ceded Credit Risk [Line Items]            
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses $ 6,356,456 $ 5,880,735 $ 5,938,511 $ 5,358,852 $ 4,314,515 $ 4,500,802
Reinsurance recoverable | Reinsurer concentration risk | AM Best A minus Or Better Rating            
Ceded Credit Risk [Line Items]            
Concentration risk percentage 69.50% 69.70%        
Reinsurance recoverable | Reinsurer concentration risk | AM Best Rating Below A Minus | All Other Carriers            
Ceded Credit Risk [Line Items]            
Concentration risk percentage 0.10% 0.10%        
Reinsurance recoverable | Reinsurer concentration risk | Not Rated | All Other Carriers            
Ceded Credit Risk [Line Items]            
Concentration risk percentage [1] 30.40% 30.20%        
Reinsurance recoverable | Reinsurer concentration risk | Not Rated | Reinsurance trusts or letters of credit            
Ceded Credit Risk [Line Items]            
Concentration risk percentage 95.00% 91.00%        
Stockholders' equity | Reinsurer concentration risk | Largest Balance Due From Any One Carrier            
Ceded Credit Risk [Line Items]            
Concentration risk percentage 9.10% 6.70%        
[1] At September 30, 2022 and December 31, 2021 over 95% and 91% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively