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Shareholders' Equity (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Oct. 03, 2015
Sep. 27, 2014
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Treasury Stock, Shares, Acquired 180,000 500,000      
Treasury Stock Acquired, Average Cost Per Share $ 66.56 $ 69.94      
Payments for Repurchase of Common Stock $ 12.0 $ 35.0 $ 0.0 $ 12.0 $ 35.0
Number of shares approved to be repurchased     3,000,000.0    
Stock Repurchase Program, Remaining Number of Shares Authorized to be Repurchased     2,300,000    
Share-Based Compensation Expense     $ 13.3 13.9 11.9
Income tax benefit recognized for share-based compensation     5.1 5.3 4.5
Fair value of shares and options vested     11.3 10.9 $ 11.1
Unrecognized compensation cost related to share-based compensation     $ 24.2    
Vesting period, minimum     5 years    
Share-based compensation expected to recognize over a weighted average period, years     2 years 18 days    
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Period     10 years    
Options and SAR's [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Allocated Share-based Compensation Expense     $ 4.2    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Share-based Awards Other than Options     $ 9.8    
Share-based compensation expected to recognize over a weighted average period, years     3 years 3 months 12 days    
Restricted Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Allocated Share-based Compensation Expense     $ 1.1    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Share-based Awards Other than Options     $ 0.4    
Share-based compensation expected to recognize over a weighted average period, years     5 months 2 days    
Restricted Stock Units (RSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Allocated Share-based Compensation Expense     $ 5.6    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Share-based Awards Other than Options     $ 9.2    
Share-based compensation expected to recognize over a weighted average period, years     1 year 7 months 30 days    
Performance Share Units [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Allocated Share-based Compensation Expense     $ 2.4 $ 1.8  
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Share-based Awards Other than Options     $ 4.8    
Share-based compensation expected to recognize over a weighted average period, years     2 years 3 days    
Share-based Compensation Arrangement by Share-based Payment Award, Performance Award Performance Period     3 years    
Performance Share Units [Member] | Minimum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Compensation Arrangement by Share-based Payment Award, Performance Shares Term, Potential Payout as a Percentage of Target     0.00%    
Performance Share Units [Member] | Maximum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Compensation Arrangement by Share-based Payment Award, Performance Shares Term, Potential Payout as a Percentage of Target     200.00%    
Common Stock [Member] | 2013 Equity Incentive Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Authorized shares of common stock (in shares)         3,500,000.0
Share available for future grant or payment under the various plans (in shares)     1,400,000