Amount of expenses associated with exit or disposal activities pursuant to an authorized plan. Includes, but is not limited to, one-time termination benefits, termination of an operating lease or other contract, consolidating or closing facilities, and relocating employees, and termination benefits associated with an ongoing benefit arrangement. Excludes expenses associated with special or contractual termination benefits, a discontinued operation or an asset retirement obligation.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SAB Topic 5.P.4(b))
-URI http://asc.fasb.org/extlink&oid=115931487&loc=d3e140904-122747

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=6394359&loc=d3e17939-110869

Reference 3: 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

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 5.P.3)
-URI http://asc.fasb.org/extlink&oid=115931487&loc=d3e140864-122747

Name:	us-gaap_BusinessExitCosts1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

Exit and Disposal Activities - Summary of Exit and Disposal Activities (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	$ 12.5	$ 0.0
Commercial & Industrial Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	6.4
Repair Systems & Information Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	5.5
Snap-on Tools Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	0.6
Cost of goods sold:
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	7.1
Cost of goods sold: \| Commercial & Industrial Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	6.4
Cost of goods sold: \| Repair Systems & Information Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	0.7
Operating expenses
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	5.4
Operating expenses \| Repair Systems & Information Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	4.8
Operating expenses \| Snap-on Tools Group
Restructuring Cost and Reserve [Line Items]
Exit and disposal costs	$ 0.6