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Taxation (Income Before Income Taxes, Foreign and Domestic) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Income Tax Expense (Benefit)                      
Income from continuing operations before taxes $ 134,322 $ 107,704 $ 89,154 $ 165,196 $ 220,978 $ 104,132 $ 162,222 $ 199,532 $ 496,376 $ 686,864 $ 841,038
Bermuda | Domestic Country                      
Income Tax Expense (Benefit)                      
Domestic                 511,114 701,476 873,103
United Kingdom | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 (22,712) (3,166) (12,678)
U.S. | Internal Revenue Service (IRS)                      
Income Tax Expense (Benefit)                      
Foreign                 12,523 (10,977) (20,019)
Ireland | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 188 1,549 1,855
Singapore | Foreign                      
Income Tax Expense (Benefit)                      
Foreign                 $ (4,737) $ (2,018) $ (1,223)