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Income taxes (Net deferred tax (liabilities) assets) (Details) - USD ($)
$ in Thousands
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment $ (1,607,193) $ (1,325,739)  
Deferred tax liabilities, intangibles (13,119) (9,500)  
Deferred tax liabilities, interest expense (126) (166)  
Deferred tax liabilities, accrued maintenance liability   (307)  
Deferred tax assets, accrued maintenance liability 1,267    
Deferred tax liabilities, obligations under capital leases and debt obligations (4,255) (4,691)  
Deferred tax liabilities, investments (8,619) (8,095)  
Deferred tax assets, deferred losses on sale of assets 28,770 32,119  
Deferred tax assets, accrued expenses 1,952 7,338  
Valuation allowance (92,298) (104,858) $ (127,361)
Deferred tax assets, losses and credits forward 1,110,815 961,812  
Deferred tax liabilities, other (83,511) (70,627)  
Net deferred income tax (liabilities) (666,317) (522,714)  
Ireland      
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment (1,612,534) (1,336,757)  
Deferred tax liabilities, intangibles (7,011) (4,159)  
Deferred tax liabilities, accrued maintenance liability (3,242) (4,362)  
Deferred tax liabilities, obligations under capital leases and debt obligations (4,255) (4,691)  
Valuation allowance (3,296) (2,928)  
Deferred tax assets, losses and credits forward 996,676 850,774  
Deferred tax liabilities, other (77,973) (70,042)  
Net deferred income tax (liabilities) (711,635) (572,165)  
United States      
Income Tax Disclosure [Line Items]      
Deferred tax assets, depreciation and impairment 254 1,553  
Deferred tax liabilities, intangibles (6,108) (5,341)  
Deferred tax liabilities, interest expense (126) (166)  
Deferred tax assets, accrued maintenance liability 4,509 4,055  
Deferred tax liabilities, investments (8,619) (8,095)  
Deferred tax assets, deferred losses on sale of assets 28,770 32,119  
Deferred tax assets, accrued expenses 1,952 7,338  
Valuation allowance (57,145) (59,983)  
Deferred tax assets, losses and credits forward 62,351 59,260  
Deferred tax liabilities, other (1,324) (2,543)  
Net deferred income tax assets 24,514 28,197  
The Netherlands      
Income Tax Disclosure [Line Items]      
Deferred tax assets, depreciation and impairment 5,974 9,138  
Valuation allowance (15,938) (18,240)  
Deferred tax assets, losses and credits forward 28,770 26,047  
Deferred tax liabilities, other (1,760) (542)  
Net deferred income tax assets 17,046 16,403  
Other      
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment (887)    
Deferred tax assets, depreciation and impairment   327  
Valuation allowance (15,919) (23,707)  
Deferred tax assets, losses and credits forward 23,018 25,731  
Deferred tax liabilities, other (2,454)    
Deferred tax asset, other   2,500  
Net deferred income tax assets $ 3,758 $ 4,851