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Receivables - Schedule of Performing and Nonperforming Finance and Contract Receivables (Detail) - USD ($) $ in Millions | Jan. 02, 2016 | Jan. 03, 2015
--- | --- | ---
Financing Receivable, Recorded Investment [Line Items] |  |
Finance Receivables | $ 1,258.2 | $ 1,085.6
Contract Receivables | 353.1 | 320.0
Performing [Member] |  |
Financing Receivable, Recorded Investment [Line Items] |  |
Finance Receivables | 1,240.0 | 1,070.1
Contract Receivables | 351.4 | 318.5
Nonperforming [Member] |  |
Financing Receivable, Recorded Investment [Line Items] |  |
Finance Receivables | 18.2 | 15.5
Contract Receivables | $ 1.7 | $ 1.5

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- Definition Contract receivable. + References No definition available. + Details
Name: | sna_ContractReceivable
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- 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

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- 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

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- 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: |