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Taxation (Income Before Income Taxes, Foreign and Domestic) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Income Tax Expense (Benefit)                      
Income before taxes $ 83,550 $ 186,745 $ 179,168 $ 180,925 $ 134,322 $ 107,704 $ 89,154 $ 165,196 $ 630,388 $ 496,376 $ 686,864
Bermuda | Domestic Country                      
Income Tax Expense (Benefit)                      
Domestic                 652,758 511,114 701,476
U.K. | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 (24,278) (22,712) (3,166)
U.S. | Internal Revenue Service (IRS)                      
Income Tax Expense (Benefit)                      
Foreign                 (1,236) 12,523 (10,977)
Ireland | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 964 188 1,549
Singapore | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 $ 2,180 $ (4,737) $ (2,018)