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Unaudited Quarterly Financial Data - Summary of Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Millions
 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, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Quarterly Financial Information Disclosure [Abstract]                              
Net earned premium $ 511.0 $ 652.5 $ 562.0 $ 581.1 $ 612.4 $ 681.0 $ 680.8 $ 663.1 $ 629.7 $ 640.6 $ 609.4 $ 593.6 $ 2,306.6 $ 2,637.3 $ 2,473.3
Net investment income 47.5 46.4 47.4 47.7 43.2 46.4 48.0 49.5 46.4 45.0 46.7 47.4 189.0 187.1 185.5
Realized and unrealized investment gains 18.8 29.9 49.0 51.2 (29.0) 26.7 45.1 65.6 12.9 10.7 13.5 57.4 148.9 108.4 94.5
Other income 3.9 (2.2) 3.6 3.6 3.3 1.5 (0.5) 1.4 (0.3) (2.3) (1.2) 3.9 8.9 5.7 0.1
Total revenues 581.2 726.6 662.0 683.6 629.9 755.6 773.4 779.6 688.7 694.0 668.4 702.3 2,653.4 2,938.5 2,753.4
Losses and loss adjustment expenses 544.2 776.2 346.1 328.2 387.3 389.2 442.2 357.4 334.0 365.6 360.5 306.1 1,994.7 1,576.1 1,366.2
Amortization of deferred policy acquisition costs 85.1 105.4 96.3 113.7 141.1 130.9 126.7 130.2 118.2 132.0 114.1 119.3 400.5 528.9 483.6
General, administrative and corporate expenses 150.1 110.9 119.9 121.3 128.9 125.0 116.4 119.8 125.9 100.5 95.4 102.2 502.2 490.1 424.0
Interest on long-term debt 7.3 7.4 7.4 7.4 7.4 7.3 7.4 7.4 7.4 7.4 7.3 7.4 29.5 29.5 29.5
Change in fair value of derivatives (2.5) (4.5) (17.6) (3.1) 17.6 (0.6) 0.4 7.2 (2.5) (10.1) (2.0) 7.8 (27.7) 24.6 (6.8)
Change in fair value of loan notes issued by variable interest entities (17.6) (9.8) 3.3 2.9 3.4 9.8 (0.5) 4.4 5.3 8.3 3.3 2.9 (21.2) 17.1 19.8
Realized and unrealized investment losses 4.0 12.4 7.0 5.0 29.1 5.2 8.3 20.6 (17.7) 51.9 28.8 14.5 28.4 63.2 77.5
Net realized and unrealized foreign exchange (gains)/losses(1) 2.8 (8.4) 20.6 8.9 (12.0) (10.8) 5.3 15.7 (5.0) 8.4 11.6 6.4 23.9 (1.8) 21.4
Other (expense) 2.9 0.0 2.0 0.0 1.2 (0.9) 1.0 0.0 (0.1) 0.0 (1.8) 2.6 4.9 1.3 0.7
Total expenses 776.3 989.6 585.0 584.3 704.0 655.1 707.2 662.7 565.5 664.0 617.2 569.2 2,935.2 2,729.0 2,415.9
(Loss)/income from operations before income tax (195.1) (263.0) 77.0 99.3 (74.1) 100.5 66.2 116.9 123.2 30.0 51.2 133.1 (281.8) 209.5 337.5
Income tax credit 10.2 9.2 (1.2) (2.8) 2.6 (4.9) (1.3) (2.5) (5.3) (1.8) (2.2) (5.1) 15.4 (6.1) (14.4)
Net (loss)/income $ (184.9) $ (253.8) $ 75.8 $ 96.5 $ (71.5) $ 95.6 $ 64.9 $ 114.4 $ 117.9 $ 28.2 $ 49.0 $ 128.0 $ (266.4) $ 203.4 $ 323.1
Ordinary shares:                              
Basic weighted average ordinary shares 59,431,469 59,759,730 59,966,358 59,862,662 60,152,420 60,225,705 60,705,028 60,867,815 60,784,832 60,779,295 61,408,633 62,159,303 59,753,886 60,478,740 61,287,884
Diluted weighted average ordinary shares 59,431,469 59,795,730 61,022,981 61,196,772 61,198,041 61,577,018 62,192,142 62,483,938 62,176,505 62,155,125 62,896,907 63,532,662 59,753,886 61,860,689 62,687,503
Weighted average number of ordinary share and share equivalents                              
Basic, dollars per share $ (3.25) $ (4.48) $ 1.09 $ 1.39 $ (1.41) $ 1.43 $ 0.91 $ 1.73 $ 1.78 $ 0.30 $ 0.64 $ 1.91 $ (5.22) $ 2.67 $ 4.64
Diluted, dollars per share $ (3.25) $ (4.48) $ 1.07 $ 1.36 $ (1.41) $ 1.40 $ 0.89 $ 1.68 $ 1.75 $ 0.30 $ 0.62 $ 1.87 $ (5.22) $ 2.61 $ 4.54