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Shareholders' Equity (Narrative) (Details) - USD ($)
12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Oct. 25, 2019
Jul. 24, 2018
Dec. 28, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock repurchase program, authorized amount       $ 250,000,000.0 $ 250,000,000.0 $ 3,000,000.0
Stock acquired and retired (in shares) 315,072 2,013,782        
Treasury stock acquired (in dollars per share) $ 79.38 $ 74.52        
Stock repurchased $ 25,000,000.0 $ 150,100,000        
Share-based compensation expense 9,200,000 13,000,000.0 $ 16,900,000      
Income tax benefit recognized for share-based compensation 2,200,000 3,100,000 4,100,000      
Fair value of shares and options vested 7,700,000 23,000,000.0 12,800,000      
Unrecognized compensation cost related to share-based compensation $ 17,900,000          
Share-based compensation expected to recognize over a weighted average period, years 1 year 9 months 18 days          
Options and SAR's            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expected to recognize over a weighted average period, years 2 years 6 months          
Allocated share-based compensation expense $ 2,800,000 $ 2,700,000 4,700,000      
Compensation costs not yet recognized $ 5,600,000          
SARs            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Expiration period 10 years          
SARs | Tranche one            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Award vesting period   5 years        
SARs | Tranche two            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Award vesting period 3 years          
Restricted Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expected to recognize over a weighted average period, years 3 months 18 days          
Award vesting period 1 year          
Allocated share-based compensation expense $ 1,200,000 $ 1,200,000 $ 1,200,000      
Compensation costs not yet recognized $ 400,000          
Weighted average grant date fair value (in dollars per share) $ 70.05 $ 80.41 $ 74.68      
Restricted Stock Units (RSUs)            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expected to recognize over a weighted average period, years 1 year 8 months 12 days          
Allocated share-based compensation expense $ 3,800,000 $ 6,200,000 $ 7,800,000      
Compensation costs not yet recognized $ 7,200,000          
Weighted average grant date fair value (in dollars per share) $ 86.70 $ 78.98 $ 74.51      
Restricted Stock Units (RSUs) | Tranche one            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share based compensation granted percentage 33.00%          
Restricted Stock Units (RSUs) | Tranche two            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share based compensation granted percentage 33.00%          
Restricted Stock Units (RSUs) | Tranche three            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share based compensation granted percentage 33.00%          
Performance Share Units            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expected to recognize over a weighted average period, years 1 year 9 months 18 days          
Award vesting period 3 years          
Expiration period 3 years          
Allocated share-based compensation expense $ 1,400,000 $ 2,900,000 $ 3,200,000      
Compensation costs not yet recognized $ 4,700,000          
Weighted average grant date fair value (in dollars per share) $ 117.63 $ 85.54 $ 83.80      
Potential payout as a percentage of target 100.00%          
Performance Share Units | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Potential payout as a percentage of target 0.00%          
Performance Share Units | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Potential payout as a percentage of target 200.00%          
2018 Plan | Common Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorized shares of common stock (in shares)     2,100,000      
Share available for future grant or payment under the various plans (in shares) 3,400,000          
2019 Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock acquired and retired (in shares)   180,763        
Treasury stock acquired (in dollars per share)   $ 83.01        
Stock repurchased   $ 15,000,000.0        
Remaining number of shares authorized to be repurchased (in shares) 210,000,000.0