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Financial Instruments - Fair Value of Derivative Instruments Included within Condensed Consolidated Balance Sheets (Detail) (USD $) In Millions, unless otherwise specified	Apr. 04, 2015	Jan. 03, 2015
Derivatives, Fair Value [Line Items]
Asset Derivatives Fair Value	$ 37.3us-gaap_DerivativeFairValueOfDerivativeAsset	$ 36.0us-gaap_DerivativeFairValueOfDerivativeAsset
Liability Derivatives Fair Value	16.2us-gaap_DerivativeFairValueOfDerivativeLiability	14.7us-gaap_DerivativeFairValueOfDerivativeLiability
Designated as Hedging Instrument [Member] | Interest Rate Swaps [Member] | Other Assets [Member]
Derivatives, Fair Value [Line Items]
Asset Derivatives Fair Value	14.7us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = us-gaap_OtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember / us-gaap_InvestmentTypeAxis = us-gaap_InterestRateSwapMember	14.0us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = us-gaap_OtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember / us-gaap_InvestmentTypeAxis = us-gaap_InterestRateSwapMember
Not Designated as Hedging Instrument [Member]
Derivatives, Fair Value [Line Items]
Asset Derivatives Fair Value	22.6us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember	22.0us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember
Liability Derivatives Fair Value	16.2us-gaap_DerivativeFairValueOfDerivativeLiability / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember	14.7us-gaap_DerivativeFairValueOfDerivativeLiability / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember
Not Designated as Hedging Instrument [Member] | Foreign Currency Forwards [Member] | Prepaid Expenses and Other Assets [Member]
Derivatives, Fair Value [Line Items]
Asset Derivatives Fair Value	3.1us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = sna_PrepaidExpensesAndOtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember	6.6us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = sna_PrepaidExpensesAndOtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember
Not Designated as Hedging Instrument [Member] | Foreign Currency Forwards [Member] | Other Accrued Liabilities [Member]
Derivatives, Fair Value [Line Items]
Liability Derivatives Fair Value	16.2us-gaap_DerivativeFairValueOfDerivativeLiability / us-gaap_BalanceSheetLocationAxis = sna_AccruedAndOtherCurrentLiabilitiesMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember	14.7us-gaap_DerivativeFairValueOfDerivativeLiability / us-gaap_BalanceSheetLocationAxis = sna_AccruedAndOtherCurrentLiabilitiesMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember
Not Designated as Hedging Instrument [Member] | Equity Forwards [Member] | Prepaid Expenses and Other Assets [Member]
Derivatives, Fair Value [Line Items]
Asset Derivatives Fair Value	$ 19.5us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = sna_PrepaidExpensesAndOtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember	$ 15.4us-gaap_DerivativeFairValueOfDerivativeAsset / us-gaap_BalanceSheetLocationAxis = sna_PrepaidExpensesAndOtherAssetsMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember

X

- Definition

Fair value, before effects of master netting arrangements, of a financial asset or other contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset. Includes assets elected not to be offset. Excludes assets not subject to a master netting arrangement.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 50

-Paragraph 3

-Subparagraph (a)

-URI http://asc.fasb.org/extlink&oid=34720828&loc=SL20225862-175312



Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 815

-SubTopic 10

-Section 50

-Paragraph 4B

-Subparagraph (a),(c)

-URI http://asc.fasb.org/extlink&oid=35706170&loc=SL5624163-113959



Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 55

-Paragraph 7

-URI http://asc.fasb.org/extlink&oid=36459792&loc=SL20226000-175313

+ Details

Name:	us-gaap_DerivativeFairValueOfDerivativeAsset
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Fair value, before effects of master netting arrangements, of a financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset. Includes liabilities elected not to be offset. Excludes liabilities not subject to a master netting arrangement.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 50

-Paragraph 3

-Subparagraph (a)

-URI http://asc.fasb.org/extlink&oid=34720828&loc=SL20225862-175312



Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 815

-SubTopic 10

-Section 50

-Paragraph 4B

-Subparagraph (a),(c)

-URI http://asc.fasb.org/extlink&oid=35706170&loc=SL5624163-113959



Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 55

-Paragraph 7

-URI http://asc.fasb.org/extlink&oid=36459792&loc=SL20226000-175313

+ Details

Name:	us-gaap_DerivativeFairValueOfDerivativeLiability
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Details

Name:	us-gaap_DerivativesFairValueLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_HedgingDesignationAxis=us-gaap_DesignatedAsHedgingInstrumentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_HedgingDesignationAxis=us-gaap_NondesignatedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: