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Receivables - Rollforward of Allowances for Doubtful Accounts for Finance and Contract Receivables (Detail) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2016 | Jan. 02, 2016 | Jan. 03, 2015
Receivables [Abstract] |  |  |
Finance receivables, Allowance for doubtful accounts, Beginning of year | $ 38.2 | $ 32.7 |
Finance receivables, Provision | 44.0 | 31.6 | $ 27.4
Finance receivables, Charge-offs | (39.8) | (31.7) |
Finance receivables, Recoveries | 6.2 | 5.9 |
Finance receivables, Currency translation |  | (0.3) |
Finance receivables, Allowance for doubtful accounts,End of year | 48.6 | 38.2 | 32.7
Contract receivables, Allowance for doubtful accounts, Beginning of year | 4.4 | 3.5 |
Contract receivables, Provision | 1.0 | 2.5 |
Contract receivables, Charge-offs | (1.8) | (1.9) |
Contract receivables, Recoveries | 0.4 | 0.4 |
Contract receivables, Currency translation | (0.1) | (0.1) |
Contract receivables, Allowance for doubtful accounts, End of year | $ 3.9 | $ 4.4 | $ 3.5

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- Definition Contract receivable allowance for credit losses. + References No definition available. + Details
Name: | sna_ContractReceivableAllowanceForCreditLosses
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Contract receivable, charge-offs. + References No definition available. + Details
Name: | sna_ContractReceivableChargeOffs
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Contract receivables foreign currency translation adjustments. + References No definition available. + Details
Name: | sna_ContractReceivablesForeignCurrencyTranslationAdjustments
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Contract receivables provision for bad debt expense. + References No definition available. + Details
Name: | sna_ContractReceivablesProvisionForBadDebtExpense
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Contract receivables, recoveries. + References No definition available. + Details
Name: | sna_ContractReceivablesRecoveries
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Notes and loans receivable allowance for credit losses. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableAllowanceForCreditLosses
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Notes and loans receivable allowance for credit losses currency translation adjustment. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableAllowanceForCreditLossesCurrencyTranslationAdjustment
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Notes and loans receivable allowance for credit losses recoveries. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableAllowanceForCreditLossesRecoveries
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Notes and loans receivable allowance for credit losses write offs. + References No definition available. + Details
Name: | sna_NotesAndLoansReceivableAllowanceForCreditLossesWriteOffs
Namespace Prefix: | sna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Amount of expense related to estimated loss from loan and lease transactions. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 225 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-04.11) -URI http://asc.fasb.org/extlink&oid=6879574&loc=d3e536633-122882 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=66902209&loc=d3e3602-108585 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 310 -SubTopic 10 -Section 50 -Paragraph 11B -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=66008989&loc=SL6953423-111524 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
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Balance Type: | na
Period Type: | duration