Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 02, 2021	Sep. 26, 2020	Oct. 02, 2021	Sep. 26, 2020
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,031.6	$ 935.8	$ 3,125.7	$ 2,500.8
Net sales	1,125.0	1,027.4	3,406.5	2,774.4
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(149.5)	(134.1)	(448.3)	(378.2)
Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,187.2	1,075.7	3,592.0	2,896.3
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	351.4	308.4	1,047.6	870.2
Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	351.4	308.4	1,047.6	870.2
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	471.4	449.8	1,433.8	1,149.0
Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	471.4	449.8	1,433.8	1,149.0
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	364.4	317.5	1,110.6	877.1
Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	364.4	317.5	1,110.6	877.1
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	87.3	85.8	262.8	256.3
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.1	5.8	18.0	17.3
Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	1,037.7	941.6	3,143.7	2,518.1
Excluding Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	790.3	728.2	2,400.3	1,912.6
Excluding Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	247.4	213.4	743.4	605.5
Excluding Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(149.5)	(134.1)	(448.3)	(378.2)
Excluding Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,037.7	941.6	3,143.7	2,518.1
Excluding Financial Services \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	271.7	235.7	817.5	667.2
Excluding Financial Services \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	24.3	22.3	74.1	61.7
Excluding Financial Services \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	247.4	213.4	743.4	605.5
Excluding Financial Services \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	79.7	72.7	230.1	203.0
Excluding Financial Services \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	351.4	308.4	1,047.6	870.2
Excluding Financial Services \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	471.4	449.8	1,433.8	1,149.0
Excluding Financial Services \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	471.4	449.8	1,433.8	1,149.0
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	471.4	449.8	1,433.8	1,149.0
Excluding Financial Services \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	294.6	256.1	892.4	701.9
Excluding Financial Services \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	294.6	256.1	892.4	701.9
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	69.8	61.4	218.2	175.2
Excluding Financial Services \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	364.4	317.5	1,110.6	877.1
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	753.2	679.1	2,259.9	1,829.1
Excluding Financial Services \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	128.3	103.9	372.9	309.7
Excluding Financial Services \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	407.4	389.2	1,231.8	1,007.6
Excluding Financial Services \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	217.5	186.0	655.2	511.8
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	175.9	160.3	554.5	424.4
Excluding Financial Services \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	76.9	66.8	240.4	188.8
Excluding Financial Services \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	40.3	38.6	128.3	87.2
Excluding Financial Services \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	58.7	54.9	185.8	148.4
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	108.6	102.2	329.3	264.6
Excluding Financial Services \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	66.5	65.0	204.2	168.7
Excluding Financial Services \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	23.7	22.0	73.7	54.2
Excluding Financial Services \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	18.4	15.2	51.4	41.7
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	87.3	85.8	262.8	256.3
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	$ 87.3	$ 85.8	$ 262.8	$ 256.3