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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. 30, 2017 | Dec. 31, 2016 | Jan. 02, 2016
Receivables [Abstract] |  |  |
Finance receivables, Allowance for doubtful accounts, Beginning of year | $ 48.6 | $ 38.2 |
Finance receivables, Provision | 54.6 | 44.0 | $ 31.6
Finance receivables, Charge-offs | (53.3) | (39.8) |
Finance receivables, Recoveries | 6.6 | 6.2 |
Finance receivables, Currency Translation | 0.0 | 0.0 |
Finance receivables, Allowance for doubtful accounts,End of year | 56.5 | 48.6 | 38.2
Contract receivables, Allowance for doubtful accounts, Beginning of year | 3.9 | 4.4 |
Contract receivables, Provision | 2.7 | 1.0 |
Contract receivables, Charge-offs | (2.5) | (1.8) |
Contract receivables, Recoveries | 0.4 | 0.4 |
Contract receivables, Currency Translation | 0.1 | (0.1) |
Contract receivables, Allowance for doubtful accounts, End of year | $ 4.6 | $ 3.9 | $ 4.4

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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
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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
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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=98514028&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=84173941&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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