Segments - Net Sales by Segment (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021
Segment Reporting Information [Line Items]
Total revenues	$ 1,223.0	$ 1,168.3	$ 2,408.5	$ 2,281.5
Operating earnings	311.9	286.0	605.4	552.2
Interest expense	(11.7)	(14.3)	(23.3)	(28.6)
Other income (expense) – net	9.3	3.4	17.6	7.7
Earnings before income taxes and equity earnings	309.5	275.1	599.7	531.3
Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	359.1	350.5	699.2	696.2
Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	520.6	484.1	1,032.7	962.4
Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	416.8	398.6	815.0	746.2
Financial Services
Segment Reporting Information [Line Items]
Total revenues	86.4	86.9	174.1	175.5
Operating segments
Segment Reporting Information [Line Items]
Operating earnings	337.1	314.6	660.8	610.9
Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(159.9)	(151.8)	(312.5)	(298.8)
Corporate
Segment Reporting Information [Line Items]
Operating earnings	25.2	28.6	55.4	58.7
Total net sales
Segment Reporting Information [Line Items]
Total revenues	1,136.6	1,081.4	2,234.4	2,106.0
Operating earnings	246.6	217.1	469.7	418.0
Total net sales | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	276.1	274.7	537.3	545.8
Total net sales | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	520.6	484.1	1,032.7	962.4
Total net sales | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	339.9	322.6	664.4	597.8
Total net sales | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Operating segments
Segment Reporting Information [Line Items]
Total revenues	1,296.5	1,233.2	2,546.9	2,404.8
Total net sales | Operating segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	359.1	350.5	699.2	696.2
Operating earnings	51.7	55.5	97.4	106.2
Total net sales | Operating segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	520.6	484.1	1,032.7	962.4
Operating earnings	124.4	103.5	240.4	202.4
Total net sales | Operating segments | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	416.8	398.6	815.0	746.2
Operating earnings	95.7	86.7	187.3	168.1
Total net sales | Operating segments | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(159.9)	(151.8)	(312.5)	(298.8)
Total net sales | Intersegment eliminations | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	83.0	75.8	161.9	150.4
Total net sales | Intersegment eliminations | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Intersegment eliminations | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	76.9	76.0	150.6	148.4
Total net sales | Intersegment eliminations | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue
Segment Reporting Information [Line Items]
Total revenues	86.4	86.9	174.1	175.5
Operating earnings	65.3	68.9	135.7	134.2
Financial services revenue | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Financial Services
Segment Reporting Information [Line Items]
Total revenues	86.4	86.9	174.1	175.5
Financial services revenue | Operating segments | Financial Services
Segment Reporting Information [Line Items]
Operating earnings	65.3	68.9	135.7	134.2
Financial services revenue | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	$ 0.0	$ 0.0	$ 0.0	$ 0.0