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Income taxes (Provision for income taxes by tax jurisdiction) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015
Income Tax Disclosure [Line Items] |  |  |
Deferred tax expense (benefit) | $ 179,524 | $ 105,979 | $ 100,959
Deferred tax expense (benefit) related to an increase (decrease) in changes in valuation allowance of deferred tax assets | (22,503) | 55,361 | 10,067
Current tax expense (benefit) | 7,697 | 12,156 | 78,779
Provision for income taxes | 164,718 | 173,496 | 189,805
Ireland |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax expense (benefit) | 144,532 | 141,364 | 151,623
Deferred tax expense (benefit) related to an increase (decrease) in changes in valuation allowance of deferred tax assets | 1,366 | 1,562 | 0
Current tax expense (benefit) | 5,606 | 4,730 | (99)
United States |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax expense (benefit) | 56,650 | (41,163) | (65,341)
Deferred tax expense (benefit) related to an increase (decrease) in changes in valuation allowance of deferred tax assets | (29,147) | 54,056 | 10,074
Current tax expense (benefit) | (1,659) | 3,166 | 39,358
The Netherlands |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax expense (benefit) | (7,470) | (8,346) | (7,453)
Deferred tax expense (benefit) related to an increase (decrease) in changes in valuation allowance of deferred tax assets | (8,518) | 12,843 | 13,915
Current tax expense (benefit) | 717 | 1,164 | 37,512
Other |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax expense (benefit) | (14,188) | 14,124 | 22,130
Deferred tax expense (benefit) related to an increase (decrease) in changes in valuation allowance of deferred tax assets | 13,796 | (13,100) | (13,922)
Current tax expense (benefit) | $ 3,033 | $ 3,096 | $ 2,008

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- Definition Amount of current income tax expense (benefit) pertaining to taxable income (loss) from continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 9 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=65882285&loc=d3e32639-109319 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Current Tax Expense (or Benefit) -URI http://asc.fasb.org/extlink&oid=6509736 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)) -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e23780-122690 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.7) -URI http://asc.fasb.org/extlink&oid=34349781&loc=d3e330036-122817 + Details
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