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GOODWILL AND OTHER INTANGIBLES RESULTING FROM BUSINESS ACQUISITIONS - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Finite-Lived Intangible Assets      
Gross Carrying Amount $ 1,128.2 $ 549.0  
Accumulated Amortization 372.4 346.3  
Net Carrying Amount 755.8 202.7  
Amortization expense on finite-lived intangible assets from business acquisition 44.6 19.9 $ 13.5
Customer relationships      
Finite-Lived Intangible Assets      
Gross Carrying Amount 862.5 373.3  
Accumulated Amortization 277.2 254.1  
Net Carrying Amount 585.3 119.2  
Patented and other developed technology      
Finite-Lived Intangible Assets      
Gross Carrying Amount 247.7 147.3  
Accumulated Amortization 84.7 69.8  
Net Carrying Amount 163.0 77.5  
Trade names and trademarks      
Finite-Lived Intangible Assets      
Gross Carrying Amount 14.8 28.2  
Accumulated Amortization 9.7 22.2  
Net Carrying Amount 5.1 6.0  
Other intangibles      
Finite-Lived Intangible Assets      
Gross Carrying Amount 3.2 0.2  
Accumulated Amortization 0.8 0.2  
Net Carrying Amount $ 2.4 $ 0.0