Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 03, 2021	Jun. 27, 2020	Jul. 03, 2021	Jun. 27, 2020
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,075.3	$ 718.4	$ 2,094.1	$ 1,565.0
Net sales	1,168.3	808.9	2,281.5	1,747.0
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(151.8)	(105.9)	(298.8)	(244.1)
Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,233.2	830.2	2,404.8	1,820.6
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	350.5	261.9	696.2	561.8
Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	350.5	261.9	696.2	561.8
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	484.1	323.3	962.4	699.2
Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	484.1	323.3	962.4	699.2
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	398.6	245.0	746.2	559.6
Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	398.6	245.0	746.2	559.6
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	86.9	84.6	175.5	170.5
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.1	5.9	11.9	11.5
Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	1,081.4	724.3	2,106.0	1,576.5
Excluding Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	832.4	539.8	1,610.0	1,184.4
Excluding Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	249.0	184.5	496.0	392.1
Excluding Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(151.8)	(105.9)	(298.8)	(244.1)
Excluding Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,081.4	724.3	2,106.0	1,576.5
Excluding Financial Services \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	274.7	204.5	545.8	431.5
Excluding Financial Services \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	25.7	20.0	49.8	39.4
Excluding Financial Services \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	249.0	184.5	496.0	392.1
Excluding Financial Services \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	75.8	57.4	150.4	130.3
Excluding Financial Services \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	350.5	261.9	696.2	561.8
Excluding Financial Services \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	484.1	323.3	962.4	699.2
Excluding Financial Services \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	484.1	323.3	962.4	699.2
Excluding Financial Services \| Snap-on Tools Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Snap-on Tools Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	484.1	323.3	962.4	699.2
Excluding Financial Services \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	322.6	196.5	597.8	445.8
Excluding Financial Services \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	322.6	196.5	597.8	445.8
Excluding Financial Services \| Repair Systems & Information Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Repair Systems & Information Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	76.0	48.5	148.4	113.8
Excluding Financial Services \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	398.6	245.0	746.2	559.6
Excluding Financial Services \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| North America
Disaggregation of Revenue [Line Items]
Net sales	779.7	536.9	1,506.7	1,150.0
Excluding Financial Services \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	126.6	96.9	244.6	205.8
Excluding Financial Services \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	416.3	291.5	824.4	618.4
Excluding Financial Services \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	236.8	148.5	437.7	325.8
Excluding Financial Services \| North America \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| Europe
Disaggregation of Revenue [Line Items]
Net sales	189.5	109.3	378.6	264.1
Excluding Financial Services \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	79.2	54.9	163.5	122.0
Excluding Financial Services \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	43.8	17.5	88.0	48.6
Excluding Financial Services \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	66.5	36.9	127.1	93.5
Excluding Financial Services \| Europe \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Excluding Financial Services \| All other
Disaggregation of Revenue [Line Items]
Net sales	112.2	78.1	220.7	162.4
Excluding Financial Services \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	68.9	52.7	137.7	103.7
Excluding Financial Services \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	24.0	14.3	50.0	32.2
Excluding Financial Services \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	19.3	11.1	33.0	26.5
Excluding Financial Services \| All other \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial Service
Disaggregation of Revenue [Line Items]
Net sales	86.9	84.6	175.5	170.5
Financial Service \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial Service \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial Service \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial Service \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial Service \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 86.9	$ 84.6	$ 175.5	$ 170.5