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Segments - Net Sales by Segment (Detail) - USD ($) $ in Millions	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020
Segment Reporting Information [Line Items]
Total revenues	$ 1,113.2	$ 938.1
Operating earnings	266.2	195.8
Interest expense	(14.3)	(11.4)
Other income (expense) – net	4.3	1.5
Earnings before income taxes and equity earnings	256.2	185.9
Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	345.7	299.9
Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	478.3	375.9
Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	347.6	314.6
Financial Services
Segment Reporting Information [Line Items]
Total revenues	88.6	85.9
Operating Segments
Segment Reporting Information [Line Items]
Total revenues	1,171.6	990.4
Operating earnings	296.3	214.3
Operating Segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	345.7	299.9
Operating earnings	50.7	31.5
Operating Segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	478.3	375.9
Operating earnings	98.9	48.6
Operating Segments | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	347.6	314.6
Operating earnings	81.4	77.3
Operating Segments | Financial Services
Segment Reporting Information [Line Items]
Operating earnings	65.3	56.9
Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(147.0)	(138.2)
Corporate
Segment Reporting Information [Line Items]
Operating earnings	(30.1)	(18.5)
Excluding Financial Services
Segment Reporting Information [Line Items]
Total revenues	1,024.6	852.2
Operating earnings	200.9	138.9
Excluding Financial Services | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	271.1	227.0
Excluding Financial Services | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	478.3	375.9
Excluding Financial Services | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	275.2	249.3
Excluding Financial Services | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Excluding Financial Services | Operating Segments
Segment Reporting Information [Line Items]
Total revenues	1,024.6	852.2
Excluding Financial Services | Operating Segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	345.7	299.9
Excluding Financial Services | Operating Segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	478.3	375.9
Excluding Financial Services | Operating Segments | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	347.6	314.6
Excluding Financial Services | Operating Segments | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Excluding Financial Services | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(147.0)	(138.2)
Excluding Financial Services | Intersegment eliminations | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	74.6	72.9
Excluding Financial Services | Intersegment eliminations | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Excluding Financial Services | Intersegment eliminations | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	72.4	65.3
Excluding Financial Services | Intersegment eliminations | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Financial Service
Segment Reporting Information [Line Items]
Total revenues	88.6	85.9
Operating earnings	65.3	56.9
Financial Service | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Financial Service | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Financial Service | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0
Financial Service | Financial Services
Segment Reporting Information [Line Items]
Total revenues	88.6	85.9
Financial Service | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	$ 0.0	$ 0.0

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