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Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,018.8	$ 846.6
Net sales	1,113.2	938.1
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(147.0)	(138.2)
Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,171.6	990.4
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	345.7	299.9
Commercial & Industrial Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	345.7	299.9
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	478.3	375.9
Snap-on Tools Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	478.3	375.9
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	347.6	314.6
Repair Systems & Information Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	347.6	314.6
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	88.6	85.9
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	5.8	5.6
Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	1,024.6	852.2
Excluding Financial Services | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	777.6	644.6
Excluding Financial Services | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	247.0	207.6
Excluding Financial Services | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(147.0)	(138.2)
Excluding Financial Services | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,024.6	852.2
Excluding Financial Services | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	271.1	227.0
Excluding Financial Services | Commercial & Industrial Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	24.1	19.4
Excluding Financial Services | Commercial & Industrial Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	247.0	207.6
Excluding Financial Services | Commercial & Industrial Group | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	74.6	72.9
Excluding Financial Services | Commercial & Industrial Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	345.7	299.9
Excluding Financial Services | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	478.3	375.9
Excluding Financial Services | Snap-on Tools Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	478.3	375.9
Excluding Financial Services | Snap-on Tools Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Snap-on Tools Group | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Snap-on Tools Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	478.3	375.9
Excluding Financial Services | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	275.2	249.3
Excluding Financial Services | Repair Systems & Information Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	275.2	249.3
Excluding Financial Services | Repair Systems & Information Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Repair Systems & Information Group | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	72.4	65.3
Excluding Financial Services | Repair Systems & Information Group | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	347.6	314.6
Excluding Financial Services | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Financial Services | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Financial Services | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Financial Services | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Financial Services | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | North America
Disaggregation of Revenue [Line Items]
Net sales	727.0	613.1
Excluding Financial Services | North America | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	118.0	108.9
Excluding Financial Services | North America | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	408.1	326.9
Excluding Financial Services | North America | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	200.9	177.3
Excluding Financial Services | North America | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | Europe
Disaggregation of Revenue [Line Items]
Net sales	189.1	154.8
Excluding Financial Services | Europe | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	84.3	67.1
Excluding Financial Services | Europe | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	44.2	31.1
Excluding Financial Services | Europe | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	60.6	56.6
Excluding Financial Services | Europe | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Excluding Financial Services | All other
Disaggregation of Revenue [Line Items]
Net sales	108.5	84.3
Excluding Financial Services | All other | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	68.8	51.0
Excluding Financial Services | All other | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	26.0	17.9
Excluding Financial Services | All other | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	13.7	15.4
Excluding Financial Services | All other | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial Service
Disaggregation of Revenue [Line Items]
Net sales	88.6	85.9
Financial Service | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial Service | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial Service | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial Service | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial Service | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 88.6	$ 85.9

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