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Income Taxes (Narrative) (Details)
$ / shares in Units, DKK in Millions, $ in Millions
12 Months Ended 36 Months Ended
Jan. 01, 2018
Dec. 31, 2017
USD ($)
Dec. 31, 2017
USD ($)
$ / shares
Dec. 31, 2016
USD ($)
$ / shares
Dec. 31, 2015
USD ($)
$ / shares
Dec. 31, 2012
DKK
Dec. 31, 2014
USD ($)
Dec. 10, 2013
DKK
Net deferred tax liabilities   $ 2,333.3 $ 2,333.3 $ 2,851.8        
Valuation allowance, deferred tax asset, change in amount     18.0          
Basis differences in investments outside the U.S.   8,000.0 $ 8,000.0          
Statutory federal income tax rate     35.00% 35.00% 35.00%      
TCJA, income tax benefit     $ (1,200.0)          
TCJA, effect on income tax expense, transition tax     $ 1,200.0          
Effective income tax rate     16.00% 17.50% 14.40%      
Effective income tax rate reconciliation, other reconciling items, percent     (5.00%) (3.50%) (2.90%)      
Income tax payments     $ 689.0 $ 767.0 $ 584.0      
Employee service share-based compensation, tax benefit from exercise of stock options     85.0 99.0 147.0      
Excess tax benefit from share-based compensation, financing activities     55.0 50.0 88.0      
Net operating loss carryforwards   502.0 502.0          
Operating loss carryforwards, valuation allowances   283.0 283.0          
Deferred tax assets, valuation allowances   324.6 324.6 306.5        
Gross unrecognized tax benefits   736.8 736.8 992.2 990.2   $ 728.5  
Unrecognized tax benefits, net of offsetting indirect tax benefits       933.0        
Unrecognized tax benefits, indirect tax benefits       179.0        
Potential interest and penalties       (120.0)        
Recognized potential interest and penalties     41.0 47.0 39.0      
Unrecognized tax benefits that would impact effective tax rate   691.0 691.0          
International                
Cash   593.0 593.0          
TCJA, cash equivalents   656.0 656.0          
Entity | United States                
Net deferred tax liabilities   2,000.0 2,000.0 2,500.0        
Entity | International                
Net deferred tax liabilities   301.0 301.0 374.0        
Foreign tax authority                
Income tax examination, amount of tax assessments   245.0 245.0         DKK 1,500
Income tax examination, amount of potential additional tax assessments   144.0       DKK 895    
Income tax holiday, aggregate dollar amount     $ 62.0 $ 61.0 $ 33.0      
Income tax holiday, income tax benefits per share | $ / shares     $ 0.09 $ 0.09 $ 0.05      
Deferred tax asset, other                
Deferred tax assets, valuation allowances   12.0 $ 12.0          
Continuing operations                
Gross unrecognized tax benefits   737.0 737.0          
Unrecognized tax benefits, net of offsetting indirect tax benefits   736.0 736.0          
Unrecognized tax benefits, indirect tax benefits   104.0 104.0          
Potential interest and penalties   (103.0) (103.0)          
Estimated reduction in unrecognized tax benefits within twelve months   (130.0) (130.0)          
Continuing operations | General business and foreign tax credit                
Tax credit carryforwards   171.0 171.0          
Tax credit carryforward, valuation allowance   $ 30.0 $ 30.0          
Scenario, forecast                
Statutory federal income tax rate 21.00%