Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended
Apr. 01, 2023	Apr. 02, 2022
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,176.5	$ 1,091.9
Net sales	1,275.6	1,185.5
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(164.4)	(152.6)
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	363.8	340.1
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	537.0	512.1
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	446.6	398.2
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	92.6	87.7
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.5	5.9
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,183.0	1,097.8
Total net sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	925.5	860.5
Total net sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	257.5	237.3
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(164.4)	(152.6)
Total net sales \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	1,347.4	1,250.4
Total net sales \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	278.6	261.2
Total net sales \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	21.1	23.9
Total net sales \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	257.5	237.3
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	85.2	78.9
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	363.8	340.1
Total net sales \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	537.0	512.1
Total net sales \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	537.0	512.1
Total net sales \| Snap-on Tools Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Snap-on Tools Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Snap-on Tools Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	537.0	512.1
Total net sales \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	367.4	324.5
Total net sales \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	367.4	324.5
Total net sales \| Repair Systems & Information Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Repair Systems & Information Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	79.2	73.7
Total net sales \| Repair Systems & Information Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	446.6	398.2
Total net sales \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Financial Services \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| North America
Disaggregation of Revenue [Line Items]
Net sales	893.3	804.3
Total net sales \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	137.6	113.7
Total net sales \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	473.9	447.8
Total net sales \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	281.8	242.8
Total net sales \| North America \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Europe
Disaggregation of Revenue [Line Items]
Net sales	173.9	183.8
Total net sales \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	75.0	81.8
Total net sales \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	35.7	40.1
Total net sales \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	63.2	61.9
Total net sales \| Europe \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| All other
Disaggregation of Revenue [Line Items]
Net sales	115.8	109.7
Total net sales \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	66.0	65.7
Total net sales \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	27.4	24.2
Total net sales \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	22.4	19.8
Total net sales \| All other \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue
Disaggregation of Revenue [Line Items]
Net sales	92.6	87.7
Financial services revenue \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 92.6	$ 87.7