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Employee Stock Benefit Plans (Narrative) (Details)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 01, 2016
USD ($)
$ / shares
shares
Jan. 02, 2015
USD ($)
$ / shares
shares
Jan. 03, 2014
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Employee Stock Purchase Plan ESPP Cash Contributions To ESPP | $ $ 18.1 $ 16.4 $ 13.5
Shares available for future grant 10,800,000 14,400,000  
Total intrinsic value of options exercised | $ $ 13.9 $ 61.3 $ 55.5
Employee Service Share-based Compensation, Nonvested Awards, Compensation Not yet Recognized, Stock Options | $ $ 94.6    
Total unamortized compensation expense weighted-average recognition period, in years 2 years 1 month 6 days    
Stock Plan Assumed Through Acquisition [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock plan acquired 1    
Employee Stock Purchase Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares authorized for grant 39,100,000    
Percentage of lower fair market value to be purchased of common stock through payroll deductions 85.00%    
Employee stock options granted term, in months 6 months    
Shares issued 1,000,000 700,000 600,000
Shares available for future grant 10,900,000    
1990 Stock Option Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for future grant 0    
Two Thousand Two Stock Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares authorized for grant 62,600,000    
Percentage of fair market value of Common Stock 100.00%    
Share units granted vesting period, in years 4 years    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 7 years    
2002 Stock Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for future grant 0    
1992 Employee Stock Bonus Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for future grant 1,606    
Options to purchase, number of shares outstanding 0    
Restricted Stock Units (RSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted Average Grant-Date Fair Value, Granted | $ / shares $ 24.84    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value | $ / shares $ 23.22 $ 30.18 $ 28.17
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value | $ $ 16.3 $ 3.9 $ 10.0
Restricted Stock Units (RSUs) [Member] | Two Thousand Two Stock Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share units granted vesting period, in years 3 years    
Grants Shares Per Unit on Plan Reserve 1.69    
Employee Stock Purchase Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted Average Grant-Date Fair Value, Granted | $ / shares $ 5.24 $ 8.32 $ 8.05
Employee Stock Option [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Options to purchase, number of shares outstanding 11,600,000 13,100,000  
Weighted average grant-date fair value of stock options granted | $ / shares $ 7.36 $ 9.07 $ 7.90
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | $ $ 18.3 $ 20.5 $ 20.3
Non Employee Director Stock Options [Member] | Two Thousand Two Stock Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share units granted vesting period, in years 1 year    
Market Based Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average grant-date fair value of stock options granted | $ / shares $ 31.60    
Market Based Restricted Stock Units [Member] | Two Thousand Two Stock Plan [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 0.00%    
Market Based Restricted Stock Units [Member] | Two Thousand Two Stock Plan [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 200.00%