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Income taxes (Narrative) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
Income Tax Disclosure [Line Items] |  |  |
Net deferred income tax liabilities | $ 781,899 | $ 815,259 |
Deferred income tax assets | 131,532 | 95,077 |
Deferred income tax liabilities | 913,431 | 910,336 |
Unrecognized tax benefits | $ 30,700 | $ 30,100 |
Local statutory tax rate | 12.50% | 12.50% | 12.50%
Valuation allowance on tax assets | $ 79,393 | $ 74,361 | $ 92,298
Ireland |  |  |
Income Tax Disclosure [Line Items] |  |  |
Net deferred income tax liabilities | $ 812,372 | $ 854,259 |
Local statutory tax rate | 12.50% | 12.50% | 12.50%
Valuation allowance on tax assets | $ 7,536 | $ 5,654 |
United States |  |  |
Income Tax Disclosure [Line Items] |  |  |
Local statutory tax rate | 21.00% | 21.00% | 22.00%
Valuation allowance on tax assets | $ 50,805 | $ 38,720 |
The Netherlands |  |  |
Income Tax Disclosure [Line Items] |  |  |
Local statutory tax rate | 25.00% | 25.00% | 25.00%
Valuation allowance on tax assets | $ 4,278 | $ 16,025 |
Tax credit carry back period | 1 year |  |
Tax credit carry forward period | 6 years |  |

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- Definition Amount, after allocation of valuation allowances and deferred tax liability, of deferred tax asset attributable to deductible differences and carryforwards, with jurisdictional netting. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=120406818&loc=d3e31931-109318 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=120406818&loc=d3e31917-109318 + Details
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