Income Taxes (Narrative) (Details) € in Thousands, $ in Thousands		1 Months Ended				12 Months Ended
	Dec. 28, 2012 EUR (€)	Jan. 31, 2019 EUR (€)	Dec. 31, 2018 EUR (€)	Dec. 31, 2013 EUR (€)	Jan. 31, 2012 EUR (€)	Dec. 31, 2018 USD ($)	Dec. 31, 2017 USD ($)	Dec. 31, 2016 USD ($)
Income Taxes [Line Items]
Percentage of earnings from continuing operations before income taxes attributable to the United States						37.00%
Valuation allowance against deferred tax asset						$ 347,786	$ 362,963
Increase (decrease) in the valuation allowance						(15,177)	73,885
Net operating loss carryforwards and tax credit						575,625	530,978
Net operating loss carryforwards in various foreign jurisdictions						1,805,648
Repatriation transition tax expense						133,366	105,165
Accumulated earnings						1,936,000
TCJA net provisional tax expense							45,249
Related transactions for repatriation transition tax expense							46,191
TCJA revaluation of deferred tax assets and liabilities							106,107
Provisional income tax expense (benefit)							25,564
Transition tax for accumulated foreign earnings, provisional liability						132,236
Gross unrecognized tax benefits						1,330,713	65,631	$ 46,434
Unrecognized tax benefits that would impact effective tax rate						23,477
Interest and penalties						7,184	8,252
Accrued/(reversed) interest and penalties						(1,085)	$ 165	$ 2,170
Expected decrease in unrecognized tax benefits within next twelve months						9,166
Luxembourg
Income Taxes [Line Items]
Net operating loss carryforwards in various foreign jurisdictions						$ 1,298,737
Domestic tax authority
Income Taxes [Line Items]
Effective income tax rate						28.70%	43.10%	38.50%
Foreign tax authority
Income Taxes [Line Items]
Effective income tax rate						11.00%	3.20%	10.80%
Foreign tax authority | Tax year 2008 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €					€ 30,131
Foreign tax authority | Tax year 2005 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €				€ 46,135
Foreign tax authority | Tax year 2009 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €	€ 35,567
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 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 | €			€ 37,991
State
Income Taxes [Line Items]
Net operating loss carryforwards and tax credit						$ 68,714
Repatriation transition tax expense						1,130
Foreign subsidiary and state net operating losses and tax credits
Income Taxes [Line Items]
Increase (decrease) in the valuation allowance						(15,357)	$ 36,792
State deferred tax assets
Income Taxes [Line Items]
Valuation allowance against deferred tax asset						37,870
Operating loss carryforward, foreign jurisdiction
Income Taxes [Line Items]
Valuation allowance against deferred tax asset						$ 309,916
Subsequent Event | Foreign tax authority | Tax year 2012 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		€ 38,858
Subsequent Event | Foreign tax authority | Tax year 2013 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		11,108
Subsequent Event | Foreign tax authority | Tax year 2014 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		23,522
Subsequent Event | Foreign tax authority | Tax year 2015 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		30,610
Subsequent Event | Foreign tax authority | Tax year 2016 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		92,109
Subsequent Event | Foreign tax authority | Tax year 2017 | Belgium
Income Taxes [Line Items]
Foreign tax assessment | €		€ 78,174