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Business Combinations (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2016
Jan. 02, 2015
Jan. 03, 2014
Business Acquisition [Line Items]      
Number of Businesses Acquired 13 13 16
Business Combination Pro Forma Information Revenue Of Acquiree Since Acquisition Date Actual Percentage Of Total Revenue 1.00% 1.00% 3.00%
Business Combination Valuation Remeasurement Window 1 year    
Acquisition-related costs $ 12.0 $ 13.4 $ 13.5
Net deferred tax liabilities $ 30.2 71.4  
Customer Relationships [Member]      
Business Acquisition [Line Items]      
Weighted-average amortization period, years 7 years    
Developed Product Technology [Member]      
Business Acquisition [Line Items]      
Weighted-average amortization period, years 6 years    
Trade Names And Trademarks [Member]      
Business Acquisition [Line Items]      
Weighted-average amortization period, years 5 years    
Distribution Rights And Other Intellectual Properties [Member]      
Business Acquisition [Line Items]      
Weighted-average amortization period, years 8 years    
Minimum [Member]      
Business Acquisition [Line Items]      
Business Combination, Consideration Transferred $ 2.0 0.6 0.5
Maximum [Member]      
Business Acquisition [Line Items]      
Business Combination, Consideration Transferred $ 30.0 $ 83.1 $ 80.0