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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Details) $ in Millions	3 Months Ended
	Apr. 01, 2023 USD ($)
Goodwill [Roll Forward]
Balance as of January 1, 2022	$ 1,045.3
Currency translation	5.3
Balance as of July 2, 2022	1,050.6
Commercial & Industrial Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	302.9
Currency translation	3.7
Balance as of July 2, 2022	306.6
Snap-on Tools Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	12.4
Currency translation	0.0
Balance as of July 2, 2022	12.4
Repair Systems & Information Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	730.0
Currency translation	1.6
Balance as of July 2, 2022	$ 731.6

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/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
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-Section S99
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X

- Definition

Amount of foreign currency translation gain (loss) which increases (decreases) an asset representing future economic benefits 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/disclosureRef
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-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (f)
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- Definition

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+ References

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