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Geographic information (Long-lived assets by individual countries) (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015
Segment Reporting Information [Line Items] |  |  |
Long-lived assets | $ 35,408,168 | $ 34,277,259 |
AeroTurbine, Inc. [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Long-lived assets |  | $ 105,700 |
Geographic Concentration Risk | Sales Revenue, Segment [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 100.00% | 100.00% | 100.00%
Geographic Concentration Risk | Long-Lived Assets [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 100.00% | 100.00% |
China |  |  |
Segment Reporting Information [Line Items] |  |  |
Long-lived assets | $ 5,218,057 | $ 4,962,336 |
China | Geographic Concentration Risk | Sales Revenue, Segment [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 13.80% | 13.80% | 13.20%
China | Geographic Concentration Risk | Long-Lived Assets [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 14.70% | 14.50% |
United States |  |  |
Segment Reporting Information [Line Items] |  |  |
Long-lived assets | $ 4,816,416 | $ 4,752,971 |
United States | Geographic Concentration Risk | Sales Revenue, Segment [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 12.10% | 11.00% | 10.80%
United States | Geographic Concentration Risk | Long-Lived Assets [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 13.60% | 13.90% |
Ireland |  |  |
Segment Reporting Information [Line Items] |  |  |
Long-lived assets | $ 1,141,992 | $ 703,635 |
Ireland | Geographic Concentration Risk | Sales Revenue, Segment [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 2.60% | 2.40% | 1.20%
Ireland | Geographic Concentration Risk | Long-Lived Assets [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 3.20% | 2.10% |
Other Countries |  |  |
Segment Reporting Information [Line Items] |  |  |
Long-lived assets | $ 24,231,703 | $ 23,858,317 |
Other Countries | Geographic Concentration Risk | Sales Revenue, Segment [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 71.50% | 72.80% | 74.80%
Other Countries | Geographic Concentration Risk | Long-Lived Assets [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Percentage of long-lived assets | 68.50% | 69.50% |

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