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Property and Equipment - Summary of Estimated Service Lives of Property and Equipment (Detail)	12 Months Ended
	Jan. 02, 2021
Minimum | Buildings and improvements
Property, Plant and Equipment [Line Items]
Estimate life, years	3 years
Minimum | Machinery, equipment and computer software
Property, Plant and Equipment [Line Items]
Estimate life, years	2 years
Maximum | Buildings and improvements
Property, Plant and Equipment [Line Items]
Estimate life, years	50 years
Maximum | Machinery, equipment and computer software
Property, Plant and Equipment [Line Items]
Estimate life, years	15 years

X

- Definition

Estimated service lives of property and equipment.

+ References

No definition available.

+ Details

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Namespace Prefix:	sna_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_PropertyPlantAndEquipmentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_PropertyPlantAndEquipmentByTypeAxis=us-gaap_BuildingImprovementsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_PropertyPlantAndEquipmentByTypeAxis=sna_MachineryEquipmentAndComputerSoftwareMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: