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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Dec. 31, 2018
Sep. 30, 2018
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]          
Net reserves at beginning of period $ 10,248,883 $ 10,056,914      
Net provision for losses and loss expenses:          
Claims occurring during the current year 3,007,364 2,917,231      
Decrease in estimates for claims occurring in prior years 22,340 5,262      
Loss reserve discount accretion 29,246 32,082      
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 3,058,950 2,954,575      
Net payments for claims:          
Current year 767,945 597,859      
Prior years 1,907,979 2,106,394      
Total 2,675,924 2,704,253      
Foreign currency translation (49,455) (101,071)      
Net reserves at end of period $ 10,248,883 $ 10,056,914 $ 10,582,454 $ 10,248,883 $ 10,206,165
Ceded reserves at end of period     1,814,501   1,665,997
Gross reserves at end of period     $ 12,396,955 $ 11,966,448 $ 11,872,162