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Income Taxes (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Tax Credit Carryforward [Line Items]          
One-time tax reserves   $ 98.7      
Net benefit related to U.S. Tax Reform $ 29.9   $ 29.9    
Valuation allowance release related to U.S Tax Reform     33.5    
Uncertain tax position related to U.S Tax Reform     3.6    
Write-off of deferred tax asset related to U.S. Tax Reform     161.4    
Reversal of deferred tax liability related to unremitted earnings due to U.S. Tax Reform     66.7    
Establishment of deferred tax assets for other miscellaneous withholding tax items due to U.S. Tax Reform     5.5    
One-time tax on offshore earnings due to U.S. Tax Reform     2.9    
Net increase (decrease) in valuation allowance   45.6      
Deferred tax assets, tax credit carryforwards, excluding adoption of ASU 2013-11   842.5      
Tax credit carryforwards 981.0 830.5 981.0    
Tax credit carryforward, valuation allowance   812.5      
Foreign tax credit carryforwards   793.8      
Minimum tax credit carryforwards   18.0      
Tax credit carryforwards, research   21.0      
Deferred tax assets, net operating loss   2,166.2      
Operating loss carryforwards, valuation allowance   2,073.3      
Operating loss carryforwards, foreign   2,045.5      
Change in deferred tax liability associated with undistributed earnings   (5.1)      
Deferred tax liabilities, undistributed foreign earnings   17.5      
Undistributed earnings of foreign subsidiaries   1,100.0      
Total gross unrecognized tax benefits 48.6 137.6 48.6 $ 58.7 $ 53.0
Unrecognized tax benefits that would impact effective tax rate   123.2      
Expense for interest and penalties   1.3 0.0 $ 2.5  
Accrued interest and penalties 9.9 7.4 $ 9.9    
Foreign          
Tax Credit Carryforward [Line Items]          
Operating loss carryforwards, valuation allowance   1,974.5      
State and Local Jurisdiction          
Tax Credit Carryforward [Line Items]          
Operating loss carryforwards, valuation allowance   98.8      
Deferred tax assets, state tax loss carryforwards   98.8      
Operating loss carryforwards   1,396.7      
Europe, Middle East & Africa          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance $ 25.5        
Foreign          
Tax Credit Carryforward [Line Items]          
Operating loss carryforwards   8,616.2      
Operating loss carryforwards, not subject to expiration   6,927.5      
Operating loss carryforwards, subject to expiration   1,688.7      
Investment Tax Credit Carryforward          
Tax Credit Carryforward [Line Items]          
Tax credit carryforward   9.7      
Deferred Tax Asset Generated In Current Year          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   138.6      
Deferred Tax Assets Expensed Or Written Off In Current Year          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   (93.0)      
Excess Tax Basis Reallocated          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   (57.2)      
State Deferred Tax Assets          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   (15.3)      
Other Deferred Tax Assets          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   (11.7)      
Deferred Tax Assets Associated With Repatriation Of Earnings          
Tax Credit Carryforward [Line Items]          
Net increase (decrease) in valuation allowance   $ (8.8)