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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Details)
$ in Millions
3 Months Ended
Apr. 02, 2022
USD ($)
Goodwill [Roll Forward]  
Balance as of January 1, 2022 $ 1,116.5
Currency translation (6.1)
Acquisition-related adjustments (32.6)
Balance as of April 2, 2022 1,077.8
Commercial & Industrial Group  
Goodwill [Roll Forward]  
Balance as of January 1, 2022 325.8
Currency translation (3.6)
Acquisition-related adjustments 0.0
Balance as of April 2, 2022 322.2
Snap-on Tools Group  
Goodwill [Roll Forward]  
Balance as of January 1, 2022 12.4
Currency translation 0.0
Acquisition-related adjustments 0.0
Balance as of April 2, 2022 12.4
Repair Systems & Information Group  
Goodwill [Roll Forward]  
Balance as of January 1, 2022 778.3
Currency translation (2.5)
Acquisition-related adjustments (32.6)
Balance as of April 2, 2022 $ 743.2