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Income Taxes (Narrative) (Details) € in Thousands, $ in Thousands | 1 Months Ended | 12 Months Ended | 36 Months Ended
--- | --- | --- | ---
Mar. 30, 2019 EUR (€) | Dec. 31, 2019 USD ($) | Dec. 31, 2018 USD ($) | Dec. 31, 2017 USD ($) | Dec. 31, 2014 EUR (€)
Income Taxes [Line Items] |  |  |  |  |
Percentage of earnings from continuing operations before income taxes attributable to the United States |  | 22.00% |  |  |
Deferred tax asset resulting from restructuring |  | $ 775,064 | $ 759,143 |  |
Deferred tax benefit related to tax basis of intangible assets |  | 107,842 | (88,456) | $ 75,591 |
Valuation allowance against deferred tax asset |  | 232,196 | 347,786 |  |
Increase (decrease) in the valuation allowance |  | (115,590) | (15,177) |  |
Net operating loss carryforwards and tax credit |  | 376,375 | 575,625 |  |
Net operating loss carryforwards in various foreign jurisdictions |  | 1,549,745 |  |  |
Repatriation transition tax expense |  | 6,000 | 133,366 |  |
Accumulated earnings |  | 177,000 | 1,936,000 |  |
TCJA revaluation of deferred tax assets and liabilities |  |  |  | 106,107 |
Belgium tax reform, income tax expense (benefit) |  |  | 44,439 |  |
Gross unrecognized tax benefits |  | 1,260,970 | 1,330,713 | 65,631 |
Unrecognized tax benefits that would impact effective tax rate |  | 29,420 |  |  |
Interest and penalties |  | 12,555 | 7,184 |  |
Accrued/(reversed) interest and penalties |  | 5,368 | (1,085) | $ 165 |
Expected decrease in unrecognized tax benefits within next twelve months |  | 6,772 |  |  |
Luxembourg |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Net operating loss carryforwards in various foreign jurisdictions |  | $ 1,224,545 | $ 1,298,737 |  |
Domestic tax authority |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Effective income tax rate |  | 36.60% | 28.70% | 43.10% |
Foreign tax authority |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Effective income tax rate |  | (9.40%) | 11.00% | 3.20% |
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 | € |  |  |  |  | 35,567
Foreign tax authority | Tax year 2010 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € |  |  |  |  | € 43,117
Foreign tax authority | Tax year 2011 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | € 40,617 |  |  |  |
Foreign tax authority | Tax year 2012 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | 39,732 |  |  |  |
Foreign tax authority | Tax year 2013 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | 11,358 |  |  |  |
Foreign tax authority | Tax year 2014 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | 23,919 |  |  |  |
Foreign tax authority | Tax year 2015 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | 30,610 |  |  |  |
Foreign tax authority | Tax year 2016 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | 93,145 |  |  |  |
Foreign tax authority | Tax year 2017 | Belgium |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Foreign tax assessment | € | € 79,933 |  |  |  |
State |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Net operating loss carryforwards and tax credit |  | $ 51,175 |  |  |
Tax Rate Changes, Foreign Currency Translations, and Other Activities |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Increase (decrease) in the valuation allowance |  | 32,650 |  |  |
Restructuring Charges |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Deferred tax benefit related to tax basis of intangible assets |  | 136,194 |  |  |
Foreign subsidiary and state net operating losses and tax credits |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Increase (decrease) in the valuation allowance |  |  | $ 15,357 |  |
State deferred tax assets |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Valuation allowance against deferred tax asset |  | 31,349 |  |  |
Operating loss carryforward, foreign jurisdiction |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Valuation allowance against deferred tax asset |  | 200,847 |  |  |
Restructuring Charges |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Current tax liability |  | 148,240 |  |  |
Deferred tax asset resulting from restructuring |  | 136,194 |  |  |
Increase (decrease) in the valuation allowance |  | $ 148,240 |  |  |

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