Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 4,703.2	$ 4,468.6
Net sales	5,108.3	4,842.5	$ 4,601.7
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(598.1)	(645.3)
Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,458.3	1,399.2
Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	2,088.8	2,072.0
Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,781.2	1,666.9
Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	378.1	349.7
Europe
Disaggregation of Revenue [Line Items]
Net sales	760.9	723.3	808.5
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	27.0	24.2
Total net sales
Disaggregation of Revenue [Line Items]
Net sales	4,730.2	4,492.8	4,252.0
Total net sales \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	5,328.3	5,138.1	4,848.0
Total net sales \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(598.1)	(645.3)	(596.0)
Total net sales \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,458.3	1,399.2	1,406.3
Total net sales \| Commercial & Industrial Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	312.7	340.9
Total net sales \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	2,088.8	2,072.0	1,938.6
Total net sales \| Snap-on Tools Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,781.2	1,666.9	1,503.1
Total net sales \| Repair Systems & Information Group \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	285.4	304.4
Total net sales \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| Financial Services \| Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales
Disaggregation of Revenue [Line Items]
Net sales	4,730.2	4,492.8
Total net sales \| External Sales \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	3,667.1	3,525.3
Total net sales \| External Sales \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	1,063.1	967.5
Total net sales \| External Sales \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,145.6	1,058.3
Total net sales \| External Sales \| Commercial & Industrial Group \| Operating Segments \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	82.5	90.8
Total net sales \| External Sales \| Commercial & Industrial Group \| Operating Segments \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	1,063.1	967.5
Total net sales \| External Sales \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	2,088.8	2,072.0
Total net sales \| External Sales \| Snap-on Tools Group \| Operating Segments \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	2,088.8	2,072.0
Total net sales \| External Sales \| Snap-on Tools Group \| Operating Segments \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,495.8	1,362.5
Total net sales \| External Sales \| Repair Systems & Information Group \| Operating Segments \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	1,495.8	1,362.5
Total net sales \| External Sales \| Repair Systems & Information Group \| Operating Segments \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| Financial Services \| Operating Segments \| Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| Financial Services \| Operating Segments \| All other professionals
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| North America
Disaggregation of Revenue [Line Items]
Net sales	3,566.2	3,384.7
Total net sales \| External Sales \| North America \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	580.5	498.3
Total net sales \| External Sales \| North America \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,839.2	1,840.3
Total net sales \| External Sales \| North America \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,146.5	1,046.1
Total net sales \| External Sales \| North America \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| Europe
Disaggregation of Revenue [Line Items]
Net sales	688.9	650.3
Total net sales \| External Sales \| Europe \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	295.7	284.9
Total net sales \| External Sales \| Europe \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	149.7	137.9
Total net sales \| External Sales \| Europe \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	243.5	227.5
Total net sales \| External Sales \| Europe \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Total net sales \| External Sales \| All other
Disaggregation of Revenue [Line Items]
Net sales	475.1	457.8
Total net sales \| External Sales \| All other \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	269.4	275.1
Total net sales \| External Sales \| All other \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	99.9	93.8
Total net sales \| External Sales \| All other \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	105.8	88.9
Total net sales \| External Sales \| All other \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue
Disaggregation of Revenue [Line Items]
Net sales	378.1	349.7	$ 349.7
Financial services revenue \| Commercial & Industrial Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Snap-on Tools Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Repair Systems & Information Group \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Financial services revenue \| Financial Services \| Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	$ 378.1	$ 349.7