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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015
Goodwill [Line Items]
Beginning Balance	$ 810.7	$ 838.8
Currency translation	(26.8)	(41.3)
Acquisition	6.2	13.2
Ending Balance	790.1	810.7
Commercial & Industrial Group [Member]
Goodwill [Line Items]
Beginning Balance	275.9	312.5
Currency translation	(22.8)	(36.6)
Ending Balance	253.1	275.9
Snap-on Tools Group [Member]
Goodwill [Line Items]
Beginning Balance	$ 12.5	$ 12.5
Currency translation
Acquisition
Ending Balance	$ 12.5	$ 12.5
Repair Systems & Information Group [Member]
Goodwill [Line Items]
Beginning Balance	522.3	513.8
Currency translation	(4.0)	(4.7)
Acquisition	6.2	13.2
Ending Balance	$ 524.5	$ 522.3

X

- Definition

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13816-109267

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 45
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6388280&loc=d3e13770-109266

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X

- Definition

Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13816-109267

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+ References

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- Definition

Amount of increase (decrease) from foreign currency translation adjustments and purchase accounting adjustments of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (f)
-URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13816-109267

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