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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of period $ 12,848,362 $ 11,620,393  
Net provision for losses and loss expenses:      
Claims occurring during the current year 4,260,179 3,598,969  
Decrease in estimates for claims occurring in prior years 54,632 1,552  
Loss reserve discount accretion 24,835 23,109  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 4,339,646 3,623,630  
Net payments for claims:      
Current year 643,908 547,082  
Prior years 2,499,319 2,161,877  
Total 3,143,227 2,708,959  
Foreign currency translation (193,755) (53,935)  
Net reserves at end of period 13,851,026 12,481,129 $ 12,848,362
Ceded reserves at end of period 2,689,097 2,438,447  
Gross reserves at end of period 16,540,123 $ 14,919,576 $ 15,390,888
Liability for Claims and Claims Adjustment Expense [Line Items]      
Liability recognized for best estimate net of reinsurance, incurred but not reported (IBNR) 5,000    
Liability recognized for best estimate net of reinsurance, reported losses $ 343,000