Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,130.5	$ 1,075.3	$ 2,222.4	$ 2,094.1
Net sales	1,223.0	1,168.3	2,408.5	2,281.5
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(159.9)	(151.8)	(312.5)	(298.8)
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	359.1	350.5	699.2	696.2
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	520.6	484.1	1,032.7	962.4
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	416.8	398.6	815.0	746.2
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	86.4	86.9	174.1	175.5
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.1	6.1	12.0	11.9
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,136.6	1,081.4	2,234.4	2,106.0
Total net sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	885.7	832.4	1,746.2	1,610.0
Total net sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	250.9	249.0	488.2	496.0
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(159.9)	(151.8)	(312.5)	(298.8)
Total net sales \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	1,296.5	1,233.2	2,546.9	2,404.8
Total net sales \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	276.1	274.7	537.3	545.8
Total net sales \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	25.2	25.7	49.1	49.8
Total net sales \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	250.9	249.0	488.2	496.0
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	83.0	75.8	161.9	150.4
Total net sales \| Commercial & Industrial Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	359.1	350.5	699.2	696.2
Total net sales \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	520.6	484.1	1,032.7	962.4
Total net sales \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	520.6	484.1	1,032.7	962.4
Total net sales \| Snap-on Tools Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Snap-on Tools Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Snap-on Tools Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	520.6	484.1	1,032.7	962.4
Total net sales \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	339.9	322.6	664.4	597.8
Total net sales \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	339.9	322.6	664.4	597.8
Total net sales \| Repair Systems & Information Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Repair Systems & Information Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	76.9	76.0	150.6	148.4
Total net sales \| Repair Systems & Information Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	416.8	398.6	815.0	746.2
Total net sales \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| North America
Disaggregation of Revenue [Line Items]
Net sales	843.7	779.7	1,648.0	1,506.7
Total net sales \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	128.7	126.6	242.4	244.6
Total net sales \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	460.3	416.3	908.1	824.4
Total net sales \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	254.7	236.8	497.5	437.7
Total net sales \| North America \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Europe
Disaggregation of Revenue [Line Items]
Net sales	169.9	189.5	353.7	378.6
Total net sales \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	73.1	79.2	154.9	163.5
Total net sales \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	36.4	43.8	76.5	88.0
Total net sales \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	60.4	66.5	122.3	127.1
Total net sales \| Europe \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| All other
Disaggregation of Revenue [Line Items]
Net sales	123.0	112.2	232.7	220.7
Total net sales \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	74.3	68.9	140.0	137.7
Total net sales \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	23.9	24.0	48.1	50.0
Total net sales \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	24.8	19.3	44.6	33.0
Total net sales \| All other \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue
Disaggregation of Revenue [Line Items]
Net sales	86.4	86.9	174.1	175.5
Financial services revenue \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 86.4	$ 86.9	$ 174.1	$ 175.5