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Receivables - Schedule of Performing and Nonperforming Finance and Contract Receivables (Detail) - USD ($) $ in Millions	Dec. 31, 2016	Jan. 02, 2016
Financing Receivable, Recorded Investment [Line Items]
Finance Receivables	$ 1,455.6	$ 1,258.2
Contract Receivables	378.7	353.1
Performing [Member]
Financing Receivable, Recorded Investment [Line Items]
Finance Receivables	1,430.7	1,240.0
Contract Receivables	376.7	351.4
Nonperforming [Member]
Financing Receivable, Recorded Investment [Line Items]
Finance Receivables	24.9	18.2
Contract Receivables	$ 2.0	$ 1.7

X

- Definition

Contract receivable.

+ References

No definition available.

+ Details

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

X

- Definition

Notes and loans receivable.

+ References

No definition available.

+ Details

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

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

X

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=sna_PerformingReceivablesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=sna_NonperformingReceivablesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: