Special Charges (Narrative) (Details)
$ in Millions
 3 Months Ended 12 Months Ended
Jan. 02, 2016
USD ($)
Jan. 02, 2016
USD ($)
settlement
Jan. 03, 2015
USD ($)
settlement
Dec. 28, 2013
USD ($)
Dec. 29, 2012
division
Restructuring Cost and Reserve [Line Items]          
Number of operating divisions | division         2
Number of legal settlements | settlement   2 3    
Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Settlement gain (expense)   $ (3) $ (37) $ (22)  
Operating Expense [Member] | Product Liability Claim [Member]          
Restructuring Cost and Reserve [Line Items]          
Favorable (unfavorable) judgment charge   (1)      
Operating Expense [Member] | Field Action Costs [Member]          
Restructuring Cost and Reserve [Line Items]          
Litigation charges   19 31 28  
Operating Expense [Member] | March 2010 Securities Class Action [Member]          
Restructuring Cost and Reserve [Line Items]          
Insurance recoveries   10      
Operating Expense [Member] | Purchased Technology and Patents [Member]          
Restructuring Cost and Reserve [Line Items]          
Settlement gain (expense)     48    
Cost of Sales [Member] | Field Action Costs, Scrapped Inventory [Member]          
Restructuring Cost and Reserve [Line Items]          
Product field action, estimated expense (benefit)   (5) 23    
Cost of Sales [Member] | Field Action Costs, Neuromodulation Voluntary Product Field Action [Member]          
Restructuring Cost and Reserve [Line Items]          
Product field action, estimated expense (benefit)   (2) (4) 10  
IPR&D [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Intangible asset impairment charges, Indefinite-lived     50 15  
Trade Names [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Intangible asset impairment charges, Indefinite-lived     8 14  
Customer Relationships [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Intangible asset impairment charges, Finite-lived   2   13  
2016 Initiatives [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges $ 34        
Expected costs remaining $ 30 30      
Restructuring and Related Cost, Incurred Cost   2      
2016 Initiatives [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   22      
2016 Initiatives [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   12      
2016 Initiatives [Member] | Other Restructuring [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   0      
2016 Initiatives [Member] | Other Restructuring [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   1      
Manufacturing and Supply Optimization Plan [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   78 32    
Manufacturing and Supply Optimization Plan [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   49 25    
Manufacturing and Supply Optimization Plan [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   29 7    
Manufacturing and Supply Optimization Plan [Member] | Other Restructuring [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   29 8    
Manufacturing and Supply Optimization Plan [Member] | Other Restructuring [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   7 0    
2012 Business Realignment Restructuring Plan [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   14 108 220  
2012 Business Realignment Restructuring Plan [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   9 78 185  
2012 Business Realignment Restructuring Plan [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges   5 30 35  
2012 Business Realignment Restructuring Plan [Member] | Other Restructuring [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs     36 102  
2012 Business Realignment Restructuring Plan [Member] | Other Restructuring [Member] | Operating Expense [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   5 35 97  
2012 Business Realignment Restructuring Plan [Member] | Other Restructuring [Member] | Cost of Sales [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs   $ 0 1 5  
2012 Business Realignment Restructuring Plan [Member] | Contract Termination [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs     22 64  
2012 Business Realignment Restructuring Plan [Member] | Other Costs [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs       38  
2012 Business Realignment Restructuring Plan [Member] | Research agreement termination cost [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs       $ 23  
2012 Business Realignment Restructuring Plan [Member] | Discontinuation of a clinical trial [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs     10    
2012 Business Realignment Restructuring Plan [Member] | Facility Closing [Member]          
Restructuring Cost and Reserve [Line Items]          
Special charges, other restructuring costs     $ 4