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Income Taxes (Narrative) (Details)
$ / shares in Units, DKK in Millions, $ in Millions
3 Months Ended 6 Months Ended 36 Months Ended
Jul. 03, 2015
USD ($)
Dec. 10, 2013
DKK
Jul. 03, 2015
USD ($)
$ / shares
Jun. 27, 2014
Jul. 03, 2015
Jun. 27, 2014
Dec. 31, 2012
DKK
Income Tax Examination [Line Items]              
Effective income tax rate, percent     23.00% 23.00% 23.30% 23.40%  
Federal statutory income tax rate, percent         35.00% 35.00%  
Net discrete tax benefit (expense), amount     $ 16        
Net discrete tax benefit (expense), per share, diluted | $ / shares     $ 0.02        
Denmark, kroner | Foreign tax authority              
Income Tax Examination [Line Items]              
Income tax examination, amount of tax assessments | DKK   DKK 1,200          
Income tax examination, amount of potential additional tax assessments | DKK             DKK 675
United States of America, dollars | Foreign tax authority              
Income Tax Examination [Line Items]              
Income tax examination, amount of tax assessments $ 178            
Income tax examination, amount of potential additional tax assessments $ 100            
Communications business | Test & Measurement              
Income Tax Examination [Line Items]              
Net discrete tax benefit (expense), amount     $ (17)        
Net discrete tax benefit (expense), per share, diluted | $ / shares     $ 0.02