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Receivables - Rollforward of Allowances for Doubtful Accounts for Finance and Contract Receivables (Detail) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
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Jun. 30, 2018 | Jul. 01, 2017 | Jun. 30, 2018 | Jul. 01, 2017
Allowance for Doubtful Accounts Receivable [Roll Forward] |  |  |  |
Finance receivables, allowance for doubtful accounts, beginning of year | $ 58.3 | $ 50.5 | $ 56.5 | $ 48.6
Finance receivables, provision | 13.6 | 12.8 | 29.4 | 25.8
Finance receivables, charge-offs | (14.6) | (12.5) | (30.4) | (25.4)
Finance receivables, recoveries | 1.7 | 1.7 | 3.6 | 3.4
Finance receivables, currency translation | 0.0 | 0.0 | (0.1) | (0.1)
Finance receivables, allowance for doubtful accounts, end of period | 59.0 | 52.5 | 59.0 | 52.5
Contract receivables, allowance for doubtful accounts, beginning of year | 4.6 | 4.7 | 4.6 | 3.9
Contract receivables, provision | 0.6 | 0.6 | 1.1 | 1.9
Contract receivables, charge-offs | (0.5) | (0.6) | (1.1) | (1.2)
Contract receivables, recoveries | 0.1 | 0.0 | 0.2 | 0.1
Contract receivables, currency translation | 0.0 | (0.1) | 0.0 | (0.1)
Contract receivables, allowance for doubtful accounts, end of period | $ 4.8 | $ 4.8 | $ 4.8 | $ 4.8

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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 A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
Name: | us-gaap_AllowanceForDoubtfulAccountsReceivableRollforward
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
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
Name: | us-gaap_ProvisionForLoanAndLeaseLosses
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration