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Exit and Disposal Activities - Summary of Exit and Disposal Activities (Details) - USD ($)
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs $ 0 $ 12,500,000
Commercial & Industrial Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 6,400,000
Repair Systems  & Information Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 5,500,000
Snap-on Tools Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 600,000
Cost of goods sold:    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 7,100,000
Cost of goods sold: | Commercial & Industrial Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 6,400,000
Cost of goods sold: | Repair Systems  & Information Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 700,000
Operating expenses    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 5,400,000
Operating expenses | Repair Systems  & Information Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs 0 4,800,000
Operating expenses | Snap-on Tools Group    
Restructuring Cost and Reserve [Line Items]    
Exit and disposal costs $ 0 $ 600,000