Short-term and Long-term Debt - Narrative (Details)	3 Months Ended
Apr. 01, 2023 USD ($) revision	Dec. 31, 2022 USD ($)
Schedule Of Debt Instruments [Line Items]
Notes payable	$ 18,200,000	$ 17,200,000
Commercial paper borrowings
Schedule Of Debt Instruments [Line Items]
Short-term debt	0
Five-year Multi-Currency Revolving Credit Facility
Schedule Of Debt Instruments [Line Items]
Revolving credit facility, amount available	800,000,000
Revolving credit facility, outstanding amount	$ 0
Number of allowed revisions to debt ratios \| revision	2
Debt maturity, term	5 years
Actual debt-to-capital ratio	0.08
Actual debt-to-income ratio	0.30
Five-year Multi-Currency Revolving Credit Facility \| Maximum
Schedule Of Debt Instruments [Line Items]
Maximum limit of required debt-to-capital ratio	0.60
Maximum limit of required debt-to-income ratio	3.50
Five-year Multi-Currency Revolving Credit Facility \| Maximum \| Material Acquisition
Schedule Of Debt Instruments [Line Items]
Maximum limit of required debt-to-capital ratio	0.65
Maximum limit of required debt-to-income ratio	4.00

Actual Debt To Capital Ratio

No definition available.

Name:	sna_ActualDebtToCapitalRatio
Namespace Prefix:	sna_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Actual Debt To Income Ratio

+ References

No definition available.

+ Details

Name:	sna_ActualDebtToIncomeRatio
Namespace Prefix:	sna_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Line Of Credit Facility, Number Of Allowed Revisions To Debt Ratios

+ References

No definition available.

+ Details

Name:	sna_LineOfCreditFacilityNumberOfAllowedRevisionsToDebtRatios
Namespace Prefix:	sna_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Definition

Notes Payable And Current Maturities Of Long Term Debt

+ References

No definition available.

+ Details

Name:	sna_NotesPayableAndCurrentMaturitiesOfLongTermDebt
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Required Debt To Capital Ratio

+ References

No definition available.

+ Details

Name:	sna_RequiredDebtToCapitalRatio
Namespace Prefix:	sna_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Required Debt To Income Ratio

+ References

No definition available.

+ Details

Name:	sna_RequiredDebtToIncomeRatio
Namespace Prefix:	sna_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Schedule Of Debt Instruments [Line Items]

+ References

No definition available.

+ Details

Name:	sna_ScheduleOfDebtInstrumentsLineItems
Namespace Prefix:	sna_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Period of time between issuance and maturity of debt instrument, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

The carrying value as of the balance sheet date of the current and noncurrent portions of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(22))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(16))
-URI https://asc.fasb.org/extlink&oid=126897435&loc=d3e534808-122878

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(16))
-URI https://asc.fasb.org/extlink&oid=126734703&loc=d3e572229-122910

+ Details

Name:	us-gaap_LineOfCredit
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Reflects the total carrying amount as of the balance sheet date of debt having initial terms less than one year or the normal operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 852
-SubTopic 10
-Section 55
-Paragraph 10
-URI https://asc.fasb.org/extlink&oid=84165509&loc=d3e56426-112766

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(19)(a))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(16)(a)(1))
-URI https://asc.fasb.org/extlink&oid=126734703&loc=d3e572229-122910

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(13))
-URI https://asc.fasb.org/extlink&oid=126897435&loc=d3e534808-122878

+ Details

Name:	us-gaap_ShortTermBorrowings
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Details

Name:	us-gaap_ShortTermDebtTypeAxis=us-gaap_CommercialPaperMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=sna_FiveYearMultiCurrencyRevolvingCreditFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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

- Details

Name:	us-gaap_BusinessAcquisitionAxis=sna_MaterialAcquisitionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: