Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended
Apr. 02, 2022	Apr. 03, 2021
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,091.9	$ 1,018.8
Net sales	1,185.5	1,113.2
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(152.6)	(147.0)
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	340.1	345.7
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	512.1	478.3
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	398.2	347.6
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	87.7	88.6
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	5.9	5.8
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,097.8	1,024.6
Total net sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	860.5	777.6
Total net sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	237.3	247.0
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(152.6)	(147.0)
Total net sales \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	1,250.4	1,171.6
Total net sales \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	261.2	271.1
Total net sales \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	23.9	24.1
Total net sales \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	237.3	247.0
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	78.9	74.6
Total net sales \| Commercial & Industrial Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	340.1	345.7
Total net sales \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	512.1	478.3
Total net sales \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	512.1	478.3
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 \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	512.1	478.3
Total net sales \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	324.5	275.2
Total net sales \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	324.5	275.2
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	73.7	72.4
Total net sales \| Repair Systems & Information Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	398.2	347.6
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 \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| North America
Disaggregation of Revenue [Line Items]
Net sales	804.3	727.0
Total net sales \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	113.7	118.0
Total net sales \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	447.8	408.1
Total net sales \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	242.8	200.9
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	183.8	189.1
Total net sales \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	81.8	84.3
Total net sales \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	40.1	44.2
Total net sales \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	61.9	60.6
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	109.7	108.5
Total net sales \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	65.7	68.8
Total net sales \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	24.2	26.0
Total net sales \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	19.8	13.7
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	87.7	88.6
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	$ 87.7	$ 88.6