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Financial Instruments - Additional Information (Detail) (USD $) In Millions, except Share data, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Investment Holdings [Line Items]
Long-term debt related to interest rate swaps	$ 14.0sna_DebtInstrumentInterestRateSwapAdjustment	$ 10.1sna_DebtInstrumentInterestRateSwapAdjustment
Foreign exchange loss	1.5us-gaap_ForeignCurrencyTransactionGainLossBeforeTax	4.4us-gaap_ForeignCurrencyTransactionGainLossBeforeTax	0.7us-gaap_ForeignCurrencyTransactionGainLossBeforeTax
Maximum maturity date of fair value hedge (in years)	7 years
Derivative gain expected to reclassify from Accumulated OCI into earnings, in the next 12 months, net of tax	0.2us-gaap_ForeignCurrencyCashFlowHedgeGainLossToBeReclassifiedDuringNext12Months
Fair Value Hedging [Member]
Investment Holdings [Line Items]
Notional amount of interest rate swaps outstanding and designated as fair value hedges	100.0us-gaap_DerivativeAssetNotionalAmount / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_FairValueHedgingMember	100.0us-gaap_DerivativeAssetNotionalAmount / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_FairValueHedgingMember
Equity forwards [Member]
Investment Holdings [Line Items]
Equity forwards in place of common stock associated with its deferred compensation plans	112,800us-gaap_DeferredCompensationArrangementWithIndividualCommonStockReservedForFutureIssuance / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember	105,800us-gaap_DeferredCompensationArrangementWithIndividualCommonStockReservedForFutureIssuance / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember
Not Designated as Hedging Instrument [Member] | Other Income (Expense) - Net [Member]
Investment Holdings [Line Items]
Transaction gains (losses) on net exposures	17.8us-gaap_ForeignCurrencyTransactionGainLossRealized / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember	(6.3)us-gaap_ForeignCurrencyTransactionGainLossRealized / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember	(11.7)us-gaap_ForeignCurrencyTransactionGainLossRealized / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember
Foreign exchange loss	1.5us-gaap_ForeignCurrencyTransactionGainLossBeforeTax / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember	4.4us-gaap_ForeignCurrencyTransactionGainLossBeforeTax / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember	0.7us-gaap_ForeignCurrencyTransactionGainLossBeforeTax / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember
Not Designated as Hedging Instrument [Member] | Equity forwards [Member] | Operating Expenses [Member]
Investment Holdings [Line Items]
Derivative gain (losses) recognized	3.6us-gaap_DerivativeGainLossOnDerivativeNet / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OperatingExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember	3.3us-gaap_DerivativeGainLossOnDerivativeNet / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OperatingExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember
Mark-to-market deferred compensation expense	3.6us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OperatingExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember	3.7us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OperatingExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForwardContractsMember
Not Designated as Hedging Instrument [Member] | Foreign currency forwards [Member] | Other Income (Expense) - Net [Member]
Investment Holdings [Line Items]
Derivative gain (losses) recognized	(19.3)us-gaap_DerivativeGainLossOnDerivativeNet / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember	1.9us-gaap_DerivativeGainLossOnDerivativeNet / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember	11.0us-gaap_DerivativeGainLossOnDerivativeNet / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember / us-gaap_IncomeStatementLocationAxis = us-gaap_OtherNonoperatingIncomeExpenseMember / us-gaap_InvestmentTypeAxis = us-gaap_ForeignExchangeForwardMember
Foreign Currency Forward Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	140.4us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractsMember	197.1us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractsMember
Euros [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	81.5us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractEurosMember / us-gaap_PositionAxis = sna_BuyContractsMember	89.1us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractEurosMember / us-gaap_PositionAxis = sna_BuyContractsMember
Swedish Kronor [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	22.1us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSwedishKronorMember / us-gaap_PositionAxis = sna_BuyContractsMember	64.3us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSwedishKronorMember / us-gaap_PositionAxis = sna_BuyContractsMember
Australian Dollars [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	34.8us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractAustralianDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember	33.8us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractAustralianDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember
South Korean Won [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	5.7us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSouthKoreanWonMember / us-gaap_PositionAxis = sna_BuyContractsMember	5.5us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSouthKoreanWonMember / us-gaap_PositionAxis = sna_BuyContractsMember
Singapore Dollars [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	10.1us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSingaporeDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember	12.7us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractSingaporeDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember
British Pounds [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	16.3us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractBritishPoundsMember / us-gaap_PositionAxis = sna_BuyContractsMember	26.2us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractBritishPoundsMember / us-gaap_PositionAxis = sna_BuyContractsMember
Mexican Pesos [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	4.5us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractMexicanPesosMember / us-gaap_PositionAxis = sna_BuyContractsMember	4.7us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractMexicanPesosMember / us-gaap_PositionAxis = sna_BuyContractsMember
Hong Kong Dollars [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	3.6us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractHongKongDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember	7.8us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractHongKongDollarsMember / us-gaap_PositionAxis = sna_BuyContractsMember
Other Currencies [Member] | Buy Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	0.5us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractOtherCurrenciesMember / us-gaap_PositionAxis = sna_BuyContractsMember
Other Currencies [Member] | Sell Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	7.7us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractOtherCurrenciesMember / us-gaap_PositionAxis = sna_SellContractsMember	4.4us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractOtherCurrenciesMember / us-gaap_PositionAxis = sna_SellContractsMember
Japanese Yen [Member] | Sell Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	10.9us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractJapaneseYenMember / us-gaap_PositionAxis = sna_SellContractsMember	12.2us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractJapaneseYenMember / us-gaap_PositionAxis = sna_SellContractsMember
Canadian Dollars [Member] | Sell Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	16.8us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractCanadianDollarsMember / us-gaap_PositionAxis = sna_SellContractsMember	25.6us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractCanadianDollarsMember / us-gaap_PositionAxis = sna_SellContractsMember
Danish Kroner [Member] | Sell Contracts [Member]
Investment Holdings [Line Items]
Foreign currency forwards outstanding	3.3us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractDanishKronerMember / us-gaap_PositionAxis = sna_SellContractsMember	4.8us-gaap_InvestmentOwnedForeignCurrencyContractReportingCurrencyAmountCurrentValue / us-gaap_DerivativeInstrumentRiskAxis = sna_ForeignCurrencyForwardContractDanishKronerMember / us-gaap_PositionAxis = sna_SellContractsMember
Treasury Locks [Member]
Investment Holdings [Line Items]
Treasury locks settled	0sna_TreasuryLocksSettled / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_TreasuryLockMember	0sna_TreasuryLocksSettled / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_TreasuryLockMember
Treasury locks outstanding	$ 0sna_TreasuryLocksOutstanding / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_TreasuryLockMember	$ 0sna_TreasuryLocksOutstanding / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_TreasuryLockMember

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Debt instrument interest rate swap adjustment.

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High end period remaining until maturity for the derivative contract, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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