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Segments - Capital Expenditures, Depreciation and Amortization (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Segment Reporting Information [Line Items]
Capital expenditures	$ 84.2	$ 70.1	$ 65.6
Depreciation and amortization	100.2	104.8	96.7
Operating Segments
Segment Reporting Information [Line Items]
Capital expenditures	80.4	67.6	60.0
Depreciation and amortization	96.4	101.2	93.1
Operating Segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Capital expenditures	26.0	24.3	20.3
Depreciation and amortization	26.1	28.2	25.1
Operating Segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Capital expenditures	35.0	27.1	24.2
Depreciation and amortization	29.3	31.2	32.7
Operating Segments | Repair Systems  & Information Group
Segment Reporting Information [Line Items]
Capital expenditures	18.3	15.4	14.7
Depreciation and amortization	40.1	40.9	34.6
Operating Segments | Financial Services
Segment Reporting Information [Line Items]
Capital expenditures	1.1	0.8	0.8
Depreciation and amortization	0.9	0.9	0.7
Corporate
Segment Reporting Information [Line Items]
Capital expenditures	3.8	2.5	5.6
Depreciation and amortization	$ 3.8	$ 3.6	$ 3.6

X

- Definition

The aggregate expense recognized in the current period that allocates the cost of tangible assets, intangible assets, or depleting assets to periods that benefit from use of the assets.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 280
-SubTopic 10
-Section 50
-Paragraph 22
-Subparagraph (e)
-URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8736-108599

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585

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- Definition

The cash outflow for acquisition of or capital improvements to properties held for investment (operating, managed, leased) or for use.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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- Definition

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+ References

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