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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022
Goodwill [Roll Forward]
Beginning Balance	$ 1,116.5	$ 982.4
Currency translation	(38.1)	(30.7)
Acquisition adjustments		164.8
Acquisition adjustments	(33.1)
Ending Balance	1,045.3	1,116.5
Commercial & Industrial Group
Goodwill [Roll Forward]
Beginning Balance	325.8	331.2
Currency translation	(22.4)	(19.4)
Acquisition adjustments		14.0
Acquisition adjustments	(0.5)
Ending Balance	302.9	325.8
Snap-on Tools Group
Goodwill [Roll Forward]
Beginning Balance	12.4	12.4
Currency translation	0.0	0.0
Acquisition adjustments		0.0
Acquisition adjustments	0.0
Ending Balance	12.4	12.4
Repair Systems  & Information Group
Goodwill [Roll Forward]
Beginning Balance	778.3	638.8
Currency translation	(15.7)	(11.3)
Acquisition adjustments		150.8
Acquisition adjustments	(32.6)
Ending Balance	$ 730.0	$ 778.3

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Goodwill Acquired During Period Net Of Purchase Accounting Adjustments

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of increase (decrease) from adjustments after acquisition date under purchase accounting of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of increase (decrease) from foreign currency translation adjustments and purchase accounting adjustments of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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