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Receivables - Aging of Finance and Contract Receivables (Detail) - USD ($) $ in Millions | Sep. 29, 2018 | Dec. 30, 2017
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Receivables [Abstract] |  |
Finance receivables, 30-59 Days Past Due | $ 17.6 | $ 19.3
Finance receivables, 60-90 Days Past Due | 12.1 | 13.9
Finance receivables, Greater Than 90 Days Past Due | 19.4 | 20.1
Finance receivables, Total Past Due | 49.1 | 53.3
Finance receivables, Total Not Past Due | 1,587.8 | 1,547.8
Finance receivables, Total | 1,636.9 | 1,601.1
Finance receivables, Greater Than 90 Days Past Due and Accruing | 15.4 | 15.4
Contract receivables, 30-59 Days Past Due | 1.8 | 1.2
Contract receivables, 60-90 Days Past Due | 1.4 | 0.6
Contract receivables, Greater Than 90 Days Past Due | 3.8 | 1.9
Contract receivables, Total Past Due | 7.0 | 3.7
Contract receivables, Total Not Past Due | 441.3 | 420.3
Contract receivables, Total | 448.3 | 424.0
Contract receivables, Greater Than 90 Days Past Due and Accruing | $ 0.2 | $ 0.6

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