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Employee Stock Benefit Plans (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 01, 2021
Jan. 03, 2020
Dec. 28, 2018
Nov. 20, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unamortized stock-based compensation expense $ 164.5      
Unamortized compensation expense weighted-average recognition period, in years 2 years 4 months 24 days      
Total intrinsic value of options exercised $ 11.5 $ 16.4 $ 30.0  
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 14.30 $ 12.92 $ 10.62  
Fair value of stock options vested $ 0.2 $ 0.2 $ 1.9  
Common stock, shares authorized (in shares) 360,000,000.0 360,000,000.0    
2002 Stock Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Maximum number of shares authorized for grant (in shares) 92,600,000     18,000,000.0
Share-based compensation, remaining number of shares available (in shares) 21,100,000      
PSUs | 2002 Stock Plan | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share units granted vesting period, in years 2 years      
PSUs | 2002 Stock Plan | Maximum        
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 | 2002 Stock Plan | Minimum        
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 | 2002 Stock Plan | Maximum        
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 | Minimum        
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 | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Percentage of the target grant amount received at vesting 200.00%      
Restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Weighted average grant-date fair value, granted (in dollars per share) $ 42.50 $ 41.38 $ 37.43  
Share-based compensation, equity instruments other than options, vested in period, fair value $ 78.0 $ 75.7 $ 73.9  
Stock options | 2002 Stock Plan | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share units granted vesting period, in years 3 years      
Share-based payment award, expiration period 7 years      
Stock options | 2002 Stock Plan | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share units granted vesting period, in years 5 years      
Share-based payment award, expiration period 10 years      
ESPP        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common stock, shares authorized (in shares) 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 (in shares) 6 months      
Stock issued during period, shares, employee stock purchase plans (in shares) 800,000 800,000 800,000  
Stock issued during period, value, employee stock purchase plan $ 26.9 $ 25.7 $ 24.0  
Number of shares reserved for future purchases (in shares) 6,600,000