Receivables - Components of Finance and Contract Receivables Beyond One Year (Details) - USD ($) $ in Millions	Oct. 01, 2022	Jan. 01, 2022
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	$ 1,550.8	$ 1,544.0
Allowance for credit loss, noncurrent	(45.5)	(51.8)
Total long-term finance and contract receivables – net	1,505.3	1,492.2
Finance Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,169.9	1,159.5
Allowance for credit loss, noncurrent	(40.6)	(45.5)
Total long-term finance and contract receivables – net	1,129.3	1,114.0
Finance Receivables \| Finance installment receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,168.1	1,155.3
Allowance for credit loss, noncurrent	(40.6)	(45.4)
Finance Receivables \| Finance lease receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	0.2	0.5
Long-term finance and contract receivables	1.8	4.2
Allowance for credit loss, noncurrent	0.0	(0.1)
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	380.9	384.5
Allowance for credit loss, noncurrent	(4.9)	(6.3)
Total long-term finance and contract receivables – net	376.0	378.2
Contract Receivables \| Finance installment receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	196.1	197.1
Allowance for credit loss, noncurrent	(3.1)	(3.2)
Contract Receivables \| Finance lease receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	30.1	30.3
Long-term finance and contract receivables	184.8	187.4
Allowance for credit loss, noncurrent	$ (1.8)	$ (3.1)

Financing Receivable, Unamortized Loan Fee (Cost), Noncurrent

No definition available.

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Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of allowance for credit loss on financing receivable, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 4
-URI https://asc.fasb.org/extlink&oid=123577603&loc=d3e5074-111524

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

+ Details

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

- 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

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Data Type:	xbrli:stringItemType
Balance Type:	na
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- Definition

Amortized cost, before allowance for credit loss, of financing receivable classified as noncurrent. Excludes net investment in lease.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 45
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=124259787&loc=d3e4428-111522

+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount, after allowance for credit loss, of financing receivable, classified as noncurrent.

+ References

No definition available.

+ Details

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- Details

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- Details

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