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Consolidated Statements of Comprehensive Income (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015		Dec. 28, 2013		Dec. 29, 2012
Comprehensive income (loss):
Net earnings	$ 432.1us-gaap_ProfitLoss		$ 359.7us-gaap_ProfitLoss		$ 314.6us-gaap_ProfitLoss
Other comprehensive income (loss):
Foreign currency translation	(128.8)us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationGainLossArisingDuringPeriodNetOfTax	[1]	(8.6)us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationGainLossArisingDuringPeriodNetOfTax	[1]	35.0us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationGainLossArisingDuringPeriodNetOfTax	[1]
Unrealized cash flow hedges, net of tax:
Reclassification of cash flow hedges to net earnings	(0.3)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax		(0.4)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax		(0.4)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax
Defined benefit pension and postretirement plans:
Net prior service costs and credits and unrecognized gain (loss)	(136.1)us-gaap_OtherComprehensiveIncomeDefinedBenefitPlanNetPriorServiceCostsCreditArisingDuringPeriodNetOfTax		100.2us-gaap_OtherComprehensiveIncomeDefinedBenefitPlanNetPriorServiceCostsCreditArisingDuringPeriodNetOfTax		(19.9)us-gaap_OtherComprehensiveIncomeDefinedBenefitPlanNetPriorServiceCostsCreditArisingDuringPeriodNetOfTax
Income tax benefit (expense)	47.9us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax		(37.3)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax		7.9us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax
Net of tax	(88.2)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax		62.9us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax		(12.0)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax
Realized settlement loss					6.8sna_OtherComprehensiveIncomeSettlementGainLossDefinedBenefitPlanNetOfTax
Income tax benefit					(1.7)us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansTaxPortionAttributableToParent
Net of tax					5.1us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent
Amortization of net prior service costs and credits and unrecognized loss included in net periodic benefit cost	22.0us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax		40.7us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax		42.6us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax
Income tax benefit	(8.1)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax		(15.2)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax		(19.9)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossTax
Net of tax	13.9us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax		25.5us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax		22.7us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossNetOfTax
Total comprehensive income	228.7us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest		439.1us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest		365.0us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest
Comprehensive income attributable to noncontrolling interests	(10.2)us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest		(9.4)us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest		(8.5)us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest
Comprehensive income attributable to Snap-on Incorporated	$ 218.5us-gaap_ComprehensiveIncomeNetOfTax		$ 429.7us-gaap_ComprehensiveIncomeNetOfTax		$ 356.5us-gaap_ComprehensiveIncomeNetOfTax
[1] There was no sale or liquidation of any foreign entity; therefore, there is no reclassification adjustment for any period presented.

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