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Income taxes (Net deferred tax (liabilities) assets) (Details) - USD ($) $ in Thousands | Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2019
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Income Tax Disclosure [Line Items] |  |  |
Deferred tax liabilities, depreciation/impairment | $ (2,884,095) | $ (2,157,019) |
Deferred tax liabilities, intangibles | (397,938) | (7,546) |
Accrued maintenance liability | (19,994) | (1,575) |
Obligations under capital leases and debt obligations | (180,378) | (3,343) |
Associated companies | (10,507) | (7,836) |
Deferred tax assets, deferred losses on sale of assets | 17,079 | 20,534 |
Valuation allowance | (152,077) | (79,393) | $ (74,361)
Deferred tax assets, losses and credits forward | 1,841,023 | 1,506,678 |
Deferred tax liabilities, other | (176,772) | (52,399) |
Net deferred income tax (liabilities) | (1,963,659) | (781,899) |
Ireland |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax liabilities, depreciation/impairment | (3,091,396) | (2,154,075) |
Deferred tax liabilities, intangibles | (390,846) | (3,560) |
Accrued maintenance liability | (20,286) | (1,985) |
Obligations under capital leases and debt obligations | (2,079) | (3,343) |
Valuation allowance | (10,664) | (7,536) |
Deferred tax assets, losses and credits forward | 1,726,510 | 1,410,570 |
Deferred tax liabilities, other | (185,787) | (52,443) |
Net deferred income tax (liabilities) | (1,974,548) | (812,372) |
United States |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax liabilities, depreciation/impairment | 214,404 | (14,014) |
Deferred tax liabilities, intangibles | (7,092) | (3,986) |
Accrued maintenance liability | 292 | 410 |
Obligations under capital leases and debt obligations | (178,299) |  |
Associated companies | (10,507) | (7,836) |
Deferred tax assets, deferred losses on sale of assets | 17,079 | 20,534 |
Valuation allowance | (112,177) | (50,805) |
Deferred tax assets, losses and credits forward | 87,199 | 67,697 |
Deferred tax asset, other | 9,863 | (1,002) |
Net deferred income tax assets | 20,762 | 13,002 |
Other |  |  |
Income Tax Disclosure [Line Items] |  |  |
Deferred tax liabilities, depreciation/impairment | (7,103) | 11,070 |
Valuation allowance | (29,236) | (21,052) |
Deferred tax assets, losses and credits forward | 27,314 | 28,411 |
Deferred tax liabilities, other | (848) | (958) |
Net deferred income tax (liabilities) | $ (9,873) |  |
Net deferred income tax assets |  | $ 17,471 |

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