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Income taxes (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] |  |  |  |  |  |  |  |  |  |  |
Uncertain tax positions | $ 1,500 |  |  |  | $ 1,500 |  |  |  | $ 1,500 | $ 1,500 |
Income tax (expense) benefit | $ (718) | $ (213) | $ (74) | $ 1,718 | $ (8,417) | $ (111) | $ 4,390 | $ 128 | 713 | (4,010) | $ 11,976
Income tax expense (benefit) related to U.S. and U.K. subsidiaries |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income tax (expense) benefit |  |  |  |  |  |  |  |  | 713 | (10,035) | 9,248
Change in uncertain tax positions |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income tax (expense) benefit |  |  |  |  |  |  |  |  | 0 | (300) | 155
Withholding taxes on certain investment transactions |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |
Income tax (expense) benefit |  |  |  |  |  |  |  |  | $ 0 | $ 6,325 | $ 2,573

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