Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 01, 2022	Oct. 02, 2021
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,096.3	$ 1,031.6	$ 3,318.7	$ 3,125.7
Net sales	1,189.8	1,125.0	3,598.3	3,406.5
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(164.9)	(149.5)	(477.4)	(448.3)
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	356.8	351.4	1,056.0	1,047.6
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	496.6	471.4	1,529.3	1,433.8
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	414.0	364.4	1,229.0	1,110.6
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	87.3	87.3	261.4	262.8
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	6.2	6.1	18.2	18.0
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,102.5	1,037.7	3,336.9	3,143.7
Total net sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	860.5	790.3	2,606.7	2,400.3
Total net sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	242.0	247.4	730.2	743.4
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(164.9)	(149.5)	(477.4)	(448.3)
Total net sales \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	1,267.4	1,187.2	3,814.3	3,592.0
Total net sales \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	262.8	271.7	800.1	817.5
Total net sales \| Commercial & Industrial Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	20.8	24.3	69.9	74.1
Total net sales \| Commercial & Industrial Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	242.0	247.4	730.2	743.4
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	94.0	79.7	255.9	230.1
Total net sales \| Commercial & Industrial Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	356.8	351.4	1,056.0	1,047.6
Total net sales \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	496.6	471.4	1,529.3	1,433.8
Total net sales \| Snap-on Tools Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	496.6	471.4	1,529.3	1,433.8
Total net sales \| Snap-on Tools Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Snap-on Tools Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Snap-on Tools Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	496.6	471.4	1,529.3	1,433.8
Total net sales \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	343.1	294.6	1,007.5	892.4
Total net sales \| Repair Systems & Information Group \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	343.1	294.6	1,007.5	892.4
Total net sales \| Repair Systems & Information Group \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Repair Systems & Information Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	70.9	69.8	221.5	218.2
Total net sales \| Repair Systems & Information Group \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	414.0	364.4	1,229.0	1,110.6
Total net sales \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Operating segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| North America
Disaggregation of Revenue [Line Items]
Net sales	837.6	753.2	2,485.6	2,259.9
Total net sales \| North America \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	128.2	128.3	370.6	372.9
Total net sales \| North America \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	440.6	407.4	1,348.7	1,231.8
Total net sales \| North America \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	268.8	217.5	766.3	655.2
Total net sales \| North America \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Europe
Disaggregation of Revenue [Line Items]
Net sales	143.7	175.9	497.4	554.5
Total net sales \| Europe \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	62.0	76.9	216.9	240.4
Total net sales \| Europe \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	29.8	40.3	106.3	128.3
Total net sales \| Europe \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	51.9	58.7	174.2	185.8
Total net sales \| Europe \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| All other
Disaggregation of Revenue [Line Items]
Net sales	121.2	108.6	353.9	329.3
Total net sales \| All other \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	72.6	66.5	212.6	204.2
Total net sales \| All other \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	26.2	23.7	74.3	73.7
Total net sales \| All other \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	22.4	18.4	67.0	51.4
Total net sales \| All other \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue
Disaggregation of Revenue [Line Items]
Net sales	87.3	87.3	261.4	262.8
Financial services revenue \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 87.3	$ 87.3	$ 261.4	$ 262.8