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Income taxes - Location (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2019 | Sep. 30, 2019 | Jun. 30, 2019 | Mar. 31, 2019 | Dec. 31, 2018 | Sep. 30, 2018 | Jun. 30, 2018 | Mar. 31, 2018 | Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income (loss) before income tax (expense) benefit | $ 29,020 | $ (15,312) | $ 52,991 | $ 134,633 | $ (306,429) | $ (13,388) | $ 24,201 | $ (25,863) | $ 201,332 | $ (321,479) | $ 293,747
Bermuda |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income (loss) before income tax (expense) benefit |  |  |  |  |  |  |  |  | $ 197,973 | (273,697) | 266,497
Effective tax rate |  |  |  |  |  |  |  |  | 0.00% |  |
United States |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income (loss) before income tax (expense) benefit |  |  |  |  |  |  |  |  | $ 3,245 | (47,771) | 27,172
Effective tax rate |  |  |  |  |  |  |  |  | 21.00% |  |
United Kingdom |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income (loss) before income tax (expense) benefit |  |  |  |  |  |  |  |  | $ 114 | $ (11) | $ 78
Effective tax rate |  |  |  |  |  |  |  |  | 19.00% |  |

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