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Income taxes (Summary of valuation allowance) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2019 | Dec. 31, 2018
Deferred Tax Assets, Valuation Allowance [Roll Forward] |  |
Valuation allowance at beginning of period | $ 92,298 | $ 104,858
Decrease of allowance to income tax provision | (17,937) | (12,560)
Valuation allowance at end of period | $ 74,361 | $ 92,298

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- Definition Deferred Tax Assets, Valuation Allowance + References No definition available. + Details
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Namespace Prefix: | aer_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32537-109319 + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | credit
Period Type: | instant

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- Definition Amount of increase (decrease) in the valuation allowance for a specified deferred tax asset. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 20 -URI http://asc.fasb.org/extlink&oid=116821951&loc=d3e32123-109318 + Details
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Namespace Prefix: | us-gaap_
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