Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Oct. 01, 2022	Sep. 30, 2023	Oct. 01, 2022
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 1,152.2	$ 1,096.3	$ 3,513.3	$ 3,318.7
Net sales	1,254.2	1,189.8	3,814.5	3,598.3
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(154.3)	(164.9)	(466.7)	(477.4)
Commercial & Industrial Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	366.4	356.8	1,094.4	1,056.0
Snap-on Tools Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	515.4	496.6	1,575.5	1,529.3
Repair Systems & Information Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	431.8	414.0	1,330.4	1,229.0
Financial Services \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	94.9	87.3	280.9	261.4
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	7.1	6.2	20.3	18.2
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	1,159.3	1,102.5	3,533.6	3,336.9
Total net sales \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	1,159.3	1,102.5	3,533.6	3,336.9
Total net sales \| Vehicle service professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	898.2	860.5	2,746.9	2,606.7
Total net sales \| All other professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	261.1	242.0	786.7	730.2
Total net sales \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	1,313.6	1,267.4	4,000.3	3,814.3
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(154.3)	(164.9)	(466.7)	(477.4)
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	366.4	356.8	1,094.4	1,056.0
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	280.5	262.8	848.9	800.1
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments \| Vehicle service professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	19.4	20.8	62.2	69.9
Total net sales \| Commercial & Industrial Group \| Total assets from reportable segments \| All other professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	261.1	242.0	786.7	730.2
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	85.9	94.0	245.5	255.9
Total net sales \| Snap-on Tools Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	515.4	496.6	1,575.5	1,529.3
Total net sales \| Snap-on Tools Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	515.4	496.6	1,575.5	1,529.3
Total net sales \| Snap-on Tools Group \| Total assets from reportable segments \| Vehicle service professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	515.4	496.6	1,575.5	1,529.3
Total net sales \| Snap-on Tools Group \| Total assets from reportable segments \| All other professionals \| External Sales
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 \| Repair Systems & Information Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	431.8	414.0	1,330.4	1,229.0
Total net sales \| Repair Systems & Information Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	363.4	343.1	1,109.2	1,007.5
Total net sales \| Repair Systems & Information Group \| Total assets from reportable segments \| Vehicle service professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	363.4	343.1	1,109.2	1,007.5
Total net sales \| Repair Systems & Information Group \| Total assets from reportable segments \| All other professionals \| External Sales
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	68.4	70.9	221.2	221.5
Total net sales \| Financial Services \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Total assets from reportable segments \| Vehicle service professionals \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Financial Services \| Total assets from reportable segments \| All other professionals \| External Sales
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 \| North America \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	879.8	837.6	2,662.6	2,485.6
Total net sales \| North America \| Commercial & Industrial Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	146.4	128.2	428.3	370.6
Total net sales \| North America \| Snap-on Tools Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	451.4	440.6	1,384.6	1,348.7
Total net sales \| North America \| Repair Systems & Information Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	282.0	268.8	849.7	766.3
Total net sales \| North America \| Financial Services \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| Europe \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	161.1	143.7	513.1	497.4
Total net sales \| Europe \| Commercial & Industrial Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	69.6	62.0	220.1	216.9
Total net sales \| Europe \| Snap-on Tools Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	37.5	29.8	112.2	106.3
Total net sales \| Europe \| Repair Systems & Information Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	54.0	51.9	180.8	174.2
Total net sales \| Europe \| Financial Services \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Total net sales \| All other \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	118.4	121.2	357.9	353.9
Total net sales \| All other \| Commercial & Industrial Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	64.5	72.6	200.5	212.6
Total net sales \| All other \| Snap-on Tools Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	26.5	26.2	78.7	74.3
Total net sales \| All other \| Repair Systems & Information Group \| Total assets from reportable segments \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	27.4	22.4	78.7	67.0
Total net sales \| All other \| Financial Services \| Total assets from reportable segments \| External Sales
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	94.9	87.3	280.9	261.4
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 \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Snap-on Tools Group \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Financial services revenue \| Repair Systems & Information Group \| Total assets from reportable segments
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	94.9	87.3	280.9	261.4
Financial services revenue \| Financial Services \| Total assets from reportable segments
Disaggregation of Revenue [Line Items]
Net sales	$ 94.9	$ 87.3	$ 280.9	$ 261.4