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Segments - Assets by Segment (Details) - USD ($) $ in Millions	Oct. 01, 2022	Jan. 01, 2022
Segment Reporting Information [Line Items]
Assets	$ 6,835.5	$ 6,759.7
Operating segments
Segment Reporting Information [Line Items]
Assets	5,866.2	5,788.6
Operating segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Assets	1,180.3	1,209.3
Operating segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Assets	875.9	791.4
Operating segments | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Assets	1,618.5	1,624.3
Operating segments | Financial Services
Segment Reporting Information [Line Items]
Assets	2,191.5	2,163.6
Corporate
Segment Reporting Information [Line Items]
Assets	1,061.8	1,039.7
Elimination of intersegment receivables
Segment Reporting Information [Line Items]
Assets	$ (92.5)	$ (68.6)

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Sum of the carrying amounts as of the balance sheet date of all assets that are recognized. Assets are probable future economic benefits obtained or controlled by an entity as a result of past transactions or events.

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