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Reserve for Loss and Loss Expense (Rollforward of Reserve for Loss and Loss Expense) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Gross reserve for loss and loss expense, at beginning of year $ 3,893,868 $ 3,771,240 $ 3,691,719
Less: reinsurance recoverable on unpaid loss and loss expense, at beginning of year 537,388 585,855 611,200
Net reserves for loss and loss expense, at beginning of year 3,356,480 3,185,385 3,080,519
Incurred loss and loss expense for claims occurring in the current year 1,601,780 1,527,997 1,384,266
Incurred loss and loss expense for claims occurring in the prior years (50,289) (29,863) (39,192)
Total incurred loss and loss expense 1,551,491 1,498,134 1,345,074
Paid loss and loss expense for claims occurring in current year 579,527 573,718 497,486
Paid loss and loss expense for claims occurring in prior years 805,443 753,321 742,722
Total paid loss and loss expense 1,384,970 1,327,039 1,240,208
Net reserves for loss and loss expense, at end of year 3,523,001 3,356,480 3,185,385
Add: reinsurance recoverable on unpaid loss and loss expense, at end of year 544,162 537,388 585,855
Gross reserve for loss and loss expense, at end of year 4,067,163 3,893,868 3,771,240
Increase of net loss and loss expense reserves 166,500 171,100 104,900
Anticipated recoveries for salvage and subrogation claims $ 76,700 $ 67,700 $ 64,800