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Income taxes (Provision for income taxes by tax jurisdiction) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Income Tax Disclosure [Line Items]      
Deferred tax expense (benefit) $ 160,148 $ 179,524 $ 105,979
Deferred tax (benefit) expense related to a (decrease) increase in changes in valuation allowance of deferred tax assets (12,560) (22,503) 55,361
Current tax (benefit) expense (3,509) 7,697 12,156
Provision for income taxes 144,079 164,718 173,496
Ireland      
Income Tax Disclosure [Line Items]      
Deferred tax expense (benefit) 140,621 144,532 141,364
Deferred tax (benefit) expense related to a (decrease) increase in changes in valuation allowance of deferred tax assets 368 1,366 1,562
Current tax (benefit) expense (27) 5,606 4,730
United States      
Income Tax Disclosure [Line Items]      
Deferred tax expense (benefit) 6,510 56,650 (41,163)
Deferred tax (benefit) expense related to a (decrease) increase in changes in valuation allowance of deferred tax assets (2,838) (29,147) 54,056
Current tax (benefit) expense (3,691) (1,659) 3,166
The Netherlands      
Income Tax Disclosure [Line Items]      
Deferred tax expense (benefit) 4,136 (7,470) (8,346)
Deferred tax (benefit) expense related to a (decrease) increase in changes in valuation allowance of deferred tax assets (2,302) (8,518) 12,843
Current tax (benefit) expense (307) 717 1,164
Other      
Income Tax Disclosure [Line Items]      
Deferred tax expense (benefit) 8,881 (14,188) 14,124
Deferred tax (benefit) expense related to a (decrease) increase in changes in valuation allowance of deferred tax assets (7,788) 13,796 (13,100)
Current tax (benefit) expense $ 516 $ 3,033 $ 3,096