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Reinsurance - Effects of Reinsurance (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Net premiums written:                      
Net premiums written                 $ 10,680,758 $ 10,242,683 $ 7,951,063
Net premiums earned:                      
Direct premiums earned                 9,078,575 9,142,690 7,717,173
Assumed premiums earned                 5,138,187 4,340,132 3,775,337
Ceded premiums earned                 (3,880,150) (3,704,888) (3,266,085)
Net amount, premiums earned $ 2,676,002 $ 2,620,902 $ 2,516,917 $ 2,522,791 $ 2,457,075 $ 2,434,037 $ 2,532,212 $ 2,354,610 10,336,612 9,777,934 8,226,425
Property and casualty operations                      
Net premiums written:                      
Direct premiums written                 8,965,259 9,166,627 7,847,236
Assumed premiums written                 5,787,313 4,458,981 2,821,771
Ceded premiums written                 (4,084,148) (3,394,972) (2,780,183)
Net premiums written                 10,668,424 10,230,636 7,888,824
Net premiums earned:                      
Direct premiums earned                 9,078,575 9,142,690 7,717,173
Assumed premiums earned                 4,903,909 4,074,817 3,465,421
Ceded premiums earned                 (3,658,206) (3,451,620) (3,018,410)
Net amount, premiums earned                 $ 10,324,278 $ 9,765,887 $ 8,164,184