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Income Taxes - Narrative (Details) € in Thousands, $ in Thousands |  |  |  | 12 Months Ended | 36 Months Ended
--- | --- | --- | --- | --- | ---
Dec. 22, 2020 EUR (€) | Oct. 22, 2020 EUR (€) | Mar. 10, 2020 EUR (€) | Dec. 31, 2020 USD ($) | Dec. 31, 2019 USD ($) | Dec. 31, 2018 USD ($) | Dec. 31, 2014 EUR (€)
Income Taxes [Line Items] |  |  |  |  |  |  |
Percentage of earnings from continuing operations before income taxes attributable to the United States |  |  |  | 16.00% |  |  |
Valuation allowance against deferred tax asset |  |  |  | $ 267,838 | $ 232,196 |  |
Increase (decrease) in the valuation allowance |  |  |  | 35,642 | (115,590) |  |
Net operating loss carryforwards and tax credit |  |  |  | 433,822 | 376,375 |  |
Net operating loss carryforwards in the U.S. |  |  |  | 10,179 |  |  |
Net operating loss carryforwards in various foreign jurisdictions |  |  |  | 1,710,619 |  |  |
Repatriation transition tax expense |  |  |  |  | 134,754 |  |
Accumulated earnings |  |  |  |  | 2,126,617 |  |
Distribution of previously taxed earnings |  |  |  | 1,742,539 |  |  |
Gross unrecognized tax benefits |  |  |  | 1,388,391 | 1,260,970 | $ 1,330,713 |
Unrecognized tax benefits that would impact effective tax rate |  |  |  | 33,144 |  |  |
Interest and penalties |  |  |  | 11,485 | 12,555 |  |
Accrued/(reversed) interest and penalties |  |  |  | (695) | 5,368 | $ (1,085) |
Expected decrease in unrecognized tax benefits within next twelve months |  |  |  | $ 8,575 |  |  |
Luxembourg |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Net operating loss carryforwards in various foreign jurisdictions |  |  |  |  | $ 1,344,589 |  |
Domestic tax authority |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Effective income tax rate |  |  |  | (12.00%) | 36.60% | 28.70% |
Foreign tax authority |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Effective income tax rate |  |  |  | 16.30% | (9.40%) | 11.00% |
Foreign tax authority | Tax year 2005 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | € 46,135
Foreign tax authority | Tax year 2006 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | 38,817
Foreign tax authority | Tax year 2007 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | 39,635
Foreign tax authority | Tax year 2008 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | 30,131
Foreign tax authority | Tax year 2009 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | 25,486
Foreign tax authority | Tax year 2010 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  |  |  |  |  | € 43,117
Foreign tax authority | Tax Year 2016 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  |  | € 67,959 |  |  |  |
Foreign tax authority | Tax year 2017 | Luxembourg |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  | € 65,152 |  |  |  |  |
Foreign tax authority | Tax year 2017 | Belgium |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € | € 17,655 |  |  |  |  |  |
Foreign tax authority | Tax year 2013 | Luxembourg |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Foreign tax assessment | € |  | € 45,466 |  |  |  |  |
State |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Net operating loss carryforwards and tax credit |  |  |  | $ 57,613 |  |  |
Tax Rate Changes, Foreign Currency Translations, and Other Activities |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Increase (decrease) in the valuation allowance |  |  |  |  | $ 32,650 |  |
State deferred tax assets |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Valuation allowance against deferred tax asset |  |  |  | 29,919 |  |  |
Operating Loss Carryforward, Domestic |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Valuation allowance against deferred tax asset |  |  |  | 5,881 |  |  |
Operating Loss Carryforward, Foreign Jurisdiction |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Valuation allowance against deferred tax asset |  |  |  | $ 232,038 |  |  |
Restructuring Charges |  |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |  |
Increase (decrease) in the valuation allowance |  |  |  |  | $ 148,240 |  |

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