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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Details)
$ in Millions
6 Months Ended
Jul. 01, 2023
USD ($)
Goodwill [Roll Forward]  
Beginning balances $ 1,045.3
Currency translation 3.3
Ending balances 1,048.6
Commercial & Industrial Group  
Goodwill [Roll Forward]  
Beginning balances 302.9
Currency translation 2.5
Ending balances 305.4
Snap-on Tools Group  
Goodwill [Roll Forward]  
Beginning balances 12.4
Currency translation 0.0
Ending balances 12.4
Repair Systems & Information Group  
Goodwill [Roll Forward]  
Beginning balances 730.0
Currency translation 0.8
Ending balances $ 730.8