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Income taxes (Net deferred tax (liabilities) assets) (Details) - USD ($)
$ in Thousands
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment $ (2,157,019) $ (1,919,478)  
Deferred tax liabilities, intangibles (7,546) (9,816)  
Deferred tax liabilities, accrued maintenance liability (1,575) (1,790)  
Deferred tax liabilities, obligations under capital leases and debt obligations (3,343) (3,806)  
Deferred tax liabilities, investments (7,836) (7,996)  
Deferred tax assets, deferred losses on sale of assets 20,534 24,178  
Valuation allowance (79,393) (74,361) $ (92,298)
Deferred tax assets, losses and credits forward 1,506,678 1,244,191  
Deferred tax liabilities, other (52,399) (66,381)  
Net deferred income tax (liabilities) (781,899) (815,259)  
Ireland      
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment (2,154,075) (1,924,492)  
Deferred tax liabilities, intangibles (3,560) (4,594)  
Deferred tax liabilities, accrued maintenance liability (1,985) (3,456)  
Deferred tax liabilities, obligations under capital leases and debt obligations (3,343) (3,806)  
Valuation allowance (7,536) (5,654)  
Deferred tax assets, losses and credits forward 1,410,570 1,146,434  
Deferred tax liabilities, other (52,443) (58,691)  
Net deferred income tax (liabilities) (812,372) (854,259)  
United States      
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment (14,014) (606)  
Deferred tax liabilities, intangibles (3,986) (5,222)  
Deferred tax assets, accrued maintenance liability 410 1,666  
Deferred tax liabilities, investments (7,836) (7,996)  
Deferred tax assets, deferred losses on sale of assets 20,534 24,178  
Valuation allowance (50,805) (38,720)  
Deferred tax assets, losses and credits forward 67,697 58,099  
Deferred tax liabilities, other   (99)  
Deferred tax asset, other 1,002    
Net deferred income tax assets 13,002 31,300  
The Netherlands      
Income Tax Disclosure [Line Items]      
Deferred tax assets, depreciation and impairment 12,510 6,873  
Valuation allowance (4,278) (16,025)  
Deferred tax assets, losses and credits forward 12,359 20,568  
Deferred tax liabilities, other   (1,773)  
Deferred tax asset, other 356    
Net deferred income tax assets 20,947 9,643  
Other      
Income Tax Disclosure [Line Items]      
Deferred tax liabilities, depreciation/impairment (1,440) (1,253)  
Valuation allowance (16,774) (13,962)  
Deferred tax assets, losses and credits forward 16,052 19,090  
Deferred tax liabilities, other (1,314) (5,818)  
Net deferred income tax (liabilities) $ (3,476) $ (1,943)