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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill by Segment (Details) $ in Millions	6 Months Ended
	Jul. 02, 2022 USD ($)
Goodwill [Roll Forward]
Balance as of January 1, 2022	$ 1,116.5
Currency translation	(37.4)
Acquisition-related adjustments	(33.1)
Balance as of July 2, 2022	1,046.0
Commercial & Industrial Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	325.8
Currency translation	(22.7)
Acquisition-related adjustments	(0.5)
Balance as of July 2, 2022	302.6
Snap-on Tools Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	12.4
Currency translation	0.0
Acquisition-related adjustments	0.0
Balance as of July 2, 2022	12.4
Repair Systems & Information Group
Goodwill [Roll Forward]
Balance as of January 1, 2022	778.3
Currency translation	(14.7)
Acquisition-related adjustments	(32.6)
Balance as of July 2, 2022	$ 731.0

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- Definition

Goodwill acquired and related adjustment.

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- 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
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- 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

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