Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 01, 2023	Jul. 02, 2022	Jul. 01, 2023	Jul. 02, 2022
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,184.6	$ 1,130.5	$ 2,361.1	$ 2,222.4
Net sales	1,284.7	1,223.0	2,560.3	2,408.5
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(148.0)	(159.9)	(312.4)	(312.5)
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	364.2	359.1	728.0	699.2
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	523.1	520.6	1,060.1	1,032.7
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	452.0	416.8	898.6	815.0
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	93.4	86.4	186.0	174.1
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.7	6.1	13.2	12.0
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,191.3	1,136.6	2,374.3	2,234.4
Total net sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	923.2	885.7	1,848.7	1,746.2
Total net sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	268.1	250.9	525.6	488.2
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(148.0)	(159.9)	(312.4)	(312.5)
Total net sales \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	1,339.3	1,296.5	2,686.7	2,546.9
Total net sales \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	289.8	276.1	568.4	537.3
Total net sales \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	21.7	25.2	42.8	49.1
Total net sales \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	268.1	250.9	525.6	488.2
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	74.4	83.0	159.6	161.9
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	364.2	359.1	728.0	699.2
Total net sales \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	523.1	520.6	1,060.1	1,032.7
Total net sales \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	523.1	520.6	1,060.1	1,032.7
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 \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	523.1	520.6	1,060.1	1,032.7
Total net sales \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	378.4	339.9	745.8	664.4
Total net sales \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	378.4	339.9	745.8	664.4
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	73.6	76.9	152.8	150.6
Total net sales \| Repair Systems & Information Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	452.0	416.8	898.6	815.0
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 \| Total assets from reportable 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	889.5	843.7	1,782.8	1,648.0
Total net sales \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	144.3	128.7	281.9	242.4
Total net sales \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	459.3	460.3	933.2	908.1
Total net sales \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	285.9	254.7	567.7	497.5
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	178.1	169.9	352.0	353.7
Total net sales \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	75.5	73.1	150.5	154.9
Total net sales \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	39.0	36.4	74.7	76.5
Total net sales \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	63.6	60.4	126.8	122.3
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	123.7	123.0	239.5	232.7
Total net sales \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	70.0	74.3	136.0	140.0
Total net sales \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	24.8	23.9	52.2	48.1
Total net sales \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	28.9	24.8	51.3	44.6
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	93.4	86.4	186.0	174.1
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	$ 93.4	$ 86.4	$ 186.0	$ 174.1