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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of period $ 11,620,393 $ 10,697,998  
Net provision for losses and loss expenses:      
Claims occurring during the current year 3,598,969 3,328,827  
Decrease in estimates for claims occurring in prior years 1,552 849  
Loss reserve discount accretion 23,109 27,335  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 3,623,630 3,357,011  
Net payments for claims:      
Current year 547,082 570,924  
Prior years 2,161,877 2,077,945  
Total 2,708,959 2,648,869  
Foreign currency translation (53,935) (21,003)  
Net reserves at end of period 12,481,129 11,391,064 $ 11,620,393
Ceded reserves at end of period 2,438,447 2,068,295  
Gross reserves at end of period 14,919,576 13,459,359 13,784,430
Cumulative effect adjustment resulting from changes in accounting principles      
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of period 0 5,927  
Net payments for claims:      
Net reserves at end of period     0
Cumulative Effect, Period Of Adoption, Adjusted Balance      
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of period $ 11,620,393 $ 10,703,925  
Net payments for claims:      
Net reserves at end of period     $ 11,620,393