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Retirement and Post Retirement Health Care Plans (Level 3 Plan Assets) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Change in Fair Value of Plan Assets:    
Fair Value of Plan Assets at Beginning of Period $ 230.2  
Fair Value of Plan Assets at End of Period 478.9 $ 230.2
Level 3    
Change in Fair Value of Plan Assets:    
Fair Value of Plan Assets at Beginning of Period 10.0  
Acquisition 33.6  
Net Sales (11.6)  
Net Gains 3.0  
Translation (1.0)  
Fair Value of Plan Assets at End of Period 34.0 10.0
Level 3 | Real Estate Fund    
Change in Fair Value of Plan Assets:    
Fair Value of Plan Assets at Beginning of Period 10.0 9.9
Acquisition 0.0 0.0
Net Sales (11.6) 0.0
Net Gains 1.6 0.1
Translation 0.0 0.0
Fair Value of Plan Assets at End of Period 0.0 10.0
Level 3 | Insurance Contracts    
Change in Fair Value of Plan Assets:    
Fair Value of Plan Assets at Beginning of Period 0.0  
Acquisition 33.6  
Net Sales 0.0  
Net Gains 1.4  
Translation (1.0)  
Fair Value of Plan Assets at End of Period $ 34.0 $ 0.0