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Employee Stock Benefit Plans (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 03, 2020
Dec. 28, 2018
Dec. 29, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unamortized Stock-based Compensation Expense $ 174.4    
Unamortized compensation expense weighted-average recognition period, in years 2 years 4 months 24 days    
Total intrinsic value of options exercised $ 16.4 $ 30.0 $ 41.1
Weighted average grant-date fair value of stock options granted $ 12.92 $ 10.62  
Fair Value of Stock Options Vested $ 0.2 $ 1.9 $ 6.5
Common Stock, Shares Authorized 360,000,000.0 360,000,000.0  
Two Thousand Two Stock Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares authorized for grant 74,600,000    
Remaining Number of Shares Available for Grant under the 2002 Stock Plan 8,100,000    
Restricted Stock Units (RSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period [1],[2] 3,700,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period [2] 2,400,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number [2] 5,700,000 4,900,000  
Weighted Average Grant-Date Fair Value, Granted $ 41.38 [2] $ 37.43 $ 40.19
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value $ 75.7 $ 73.9 $ 40.4
Employee Stock Purchase Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common Stock, Shares Authorized 39,000,000.0    
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    
Stock Issued During Period, Shares, Employee Stock Purchase Plans 800,000 800,000 800,000
Stock Issued During Period, Value, Employee Stock Purchase Plan $ 25.7 $ 24.0 $ 20.4
Common Stock, Capital Shares Reserved for Future Issuance 7,400,000    
Share-based Payment Arrangement, Option [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    
Share-based Payment Arrangement, Option [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, Expiration Period 7 years    
Share-based Payment Arrangement, Option [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, Expiration Period 10 years    
Performance-Based Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period 1,900,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period 1,300,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 2,000,000.0    
PSUs Related to Performance Adjustments Above Target levels at Vesting Date 600,000    
Performance-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 units granted vesting period, in years 2 years    
Performance-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 units granted vesting period, in years 3 years    
Time 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 units granted vesting period, in years 3 years    
Time 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 units granted vesting period, in years 4 years    
Performance Stock Units (PSU) Granted Prior to 2019 [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of the Target Grant Amount Received at Vesting 0.00%    
Performance Stock Units (PSU) Granted Prior to 2019 [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of the Target Grant Amount Received at Vesting 200.00%    
Performance Stock Units (PSU) Granted During Fiscal 2019 [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of the Target Grant Amount Received at Vesting 0.00%    
Performance Stock Units (PSU) Granted During Fiscal 2019 [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of the Target Grant Amount Received at Vesting 250.00%    
[1] Includes 0.6 million PSUs related to performance adjustments above target levels at the vesting date.
[2] Includes 1.9 million PSUs granted, 1.3 million PSUs vested, and 2.0 million PSUs outstanding at the end of the year.