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GOODWILL AND OTHER INTANGIBLES RESULTING FROM BUSINESS ACQUISITIONS (Details 2) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Finite-Lived Intangible Assets      
Gross Carrying Amount $ 307.1 $ 314.2  
Accumulated Amortization 269.1 254.7  
Net Carrying Amount 38.0 59.5  
Amortization expense on finite-lived intangible assets from business acquisition 20.5 24.4 $ 28.5
Customer relationships      
Finite-Lived Intangible Assets      
Gross Carrying Amount 224.3 228.9  
Accumulated Amortization 193.9 180.2  
Net Carrying Amount 30.4 48.7  
Patents and other acquired technology      
Finite-Lived Intangible Assets      
Gross Carrying Amount 49.0 49.0  
Accumulated Amortization 45.3 42.7  
Net Carrying Amount 3.7 6.3  
Trade names and trademarks      
Finite-Lived Intangible Assets      
Gross Carrying Amount 22.0 24.0  
Accumulated Amortization 18.7 20.5  
Net Carrying Amount 3.3 3.5  
Other intangibles      
Finite-Lived Intangible Assets      
Gross Carrying Amount 11.8 12.3  
Accumulated Amortization 11.2 11.3  
Net Carrying Amount $ 0.6 $ 1.0