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Segments - Capital Expenditures, Depreciation and Amortization (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Segment Reporting Information [Line Items]
Capital expenditures	$ 65.6	$ 99.4	$ 90.9
Depreciation and amortization	96.7	92.4	94.1
Operating Segments
Segment Reporting Information [Line Items]
Capital expenditures	60.0	96.3	87.7
Depreciation and amortization	93.1	88.9	91.0
Operating Segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Capital expenditures	20.3	30.1	21.5
Depreciation and amortization	25.1	23.5	23.6
Operating Segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Capital expenditures	24.2	42.7	46.0
Depreciation and amortization	32.7	31.7	29.9
Operating Segments | Repair Systems  & Information Group
Segment Reporting Information [Line Items]
Capital expenditures	14.7	22.7	19.7
Depreciation and amortization	34.6	33.0	36.7
Operating Segments | Financial Services
Segment Reporting Information [Line Items]
Capital expenditures	0.8	0.8	0.5
Depreciation and amortization	0.7	0.7	0.8
Corporate
Segment Reporting Information [Line Items]
Capital expenditures	5.6	3.1	3.2
Depreciation and amortization	$ 3.6	$ 3.5	$ 3.1

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 http://asc.fasb.org/extlink&oid=120311839&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 http://asc.fasb.org/extlink&oid=121586364&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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