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Receivables - Aging of Finance and Contract Receivables (Detail) - USD ($) $ in Millions | Jul. 02, 2016 | Jan. 02, 2016
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Receivables [Abstract] |  |
Finance receivables, 30-59 Days Past Due | $ 11.1 | $ 12.1
Finance receivables, 60-90 Days Past Due | 7.3 | 7.6
Finance receivables, Greater Than 90 Days Past Due | 10.6 | 11.9
Finance receivables, Total Past Due | 29.0 | 31.6
Finance receivables, Total Not Past Due | 1,345.3 | 1,226.6
Finance receivables, Total | 1,374.3 | 1,258.2
Finance receivables, Greater Than 90 Days Past Due and Accruing | 8.0 | 9.1
Contract receivables, 30-59 Days Past Due | 1.4 | 1.3
Contract receivables, 60-90 Days Past Due | 1.0 | 0.7
Contract receivables, Greater Than 90 Days Past Due | 1.9 | 1.3
Contract receivables, Total Past Due | 4.3 | 3.3
Contract receivables, Total Not Past Due | 353.2 | 349.8
Contract receivables, Total | 357.5 | 353.1
Contract receivables, Greater Than 90 Days Past Due and Accruing | $ 0.5 | $ 0.3

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 Contract receivable not past due. + References No definition available. + Details
Name: | sna_ContractReceivableNotPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Contract receivable recorded investment greater than 90 days past due. + References No definition available. + Details
Name: | sna_ContractReceivableRecordedInvestmentGreaterThanNinetyDaysPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Contract receivable recorded investment 90 days past due and still accruing. + References No definition available. + Details
Name: | sna_ContractReceivableRecordedInvestmentNinetyDaysPastDueAndStillAccruing
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Contract receivable recorded investment past due. + References No definition available. + Details
Name: | sna_ContractReceivableRecordedInvestmentPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Contract receivable recorded investment sixty to ninety days past due. + References No definition available. + Details
Name: | sna_ContractReceivableRecordedInvestmentSixtyToNinetyDaysPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Contract receivable recorded investment thirty to fifty nine days past due. + References No definition available. + Details
Name: | sna_ContractReceivableRecordedInvestmentThirtyToFiftyNineDaysPastDue
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 Notes and loans receivable not past due. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableNotPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Notes and loans receivable recorded investment greater than ninety days past due. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableRecordedInvestmentGreaterThanNinetyDaysPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Notes and loans receivable recorded investment ninety days past due and still accruing. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableRecordedInvestmentNinetyDaysPastDueAndStillAccruing
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Notes and loans receivable recorded investment past due. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableRecordedInvestmentPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Notes and loans receivable recorded investment sixty to ninety days past due. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableRecordedInvestmentSixtyToNinetyDaysPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Notes and loans receivable recorded investment thirty to fifty nine days past due. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableRecordedInvestmentThirtyToFiftyNineDaysPastDue
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- References No definition available. + Details
Name: | us-gaap_ReceivablesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration