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Financial Instruments - Fair Values of Financial Instruments Not Approximating Carrying Values in Financial Statements (Detail) - USD ($) $ in Millions	Jan. 02, 2021	Dec. 28, 2019
Carrying Value
Fair Values Not Approximating Carrying Value [Line Items]
Finance receivables – net	$ 1,666.5	$ 1,633.6
Contract receivables – net	487.2	460.8
Long-term debt, notes payable and current maturities of long-term debt, carrying value	1,450.6	1,149.8
Fair Value
Fair Values Not Approximating Carrying Value [Line Items]
Finance receivables – net	2,024.4	1,920.6
Contract receivables – net	545.4	505.5
Long-term debt, notes payable and current maturities of long-term debt, fair value	$ 1,678.2	$ 1,238.8

X

- Definition

Contract receivables - net.

+ References

No definition available.

+ Details

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

X

- Definition

[Line Items] for Fair Values Not Approximating Carrying Value [Table]

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
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X

- Definition

Notes and loans receivable net.

+ References

No definition available.

+ Details

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

X

- Definition

Fair value portion of debt instrument payable, including, but not limited to, notes payable and loans payable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 10
-URI http://asc.fasb.org/extlink&oid=121572278&loc=d3e13433-108611

+ Details

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

X

- Definition

Represents the aggregate of total long-term debt, including current maturities and short-term debt.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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- Details

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X

- Details

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