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Income Taxes - Reconciliation of Statutory Federal Income Tax Rate (Detail)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Income Tax Disclosure [Abstract]      
Statutory federal income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal benefit 2.20%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.10%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.50%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Noncontrolling interests (0.50%)us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense (0.60%)us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense (0.60%)us-gaap_EffectiveIncomeTaxRateReconciliationMinorityInterestIncomeExpense
Repatriation of foreign earnings (0.40%)us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings   (1.30%)us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings
Change in valuation allowance for deferred tax assets (0.90%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance 0.70%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Adjustments to tax accruals and reserves 0.50%sna_EffectiveIncomeTaxRateReconciliationAdjustmentsToTaxAccrualsAndReserves (1.30%)sna_EffectiveIncomeTaxRateReconciliationAdjustmentsToTaxAccrualsAndReserves (1.70%)sna_EffectiveIncomeTaxRateReconciliationAdjustmentsToTaxAccrualsAndReserves
Foreign rate differences (2.20%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (1.70%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (1.50%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential
Domestic production activities deduction (2.00%)us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsQualifiedProductionActivities (2.70%)us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsQualifiedProductionActivities (1.60%)us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsQualifiedProductionActivities
Other (0.10%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.20%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.40%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Effective tax rate 31.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations 31.70%us-gaap_EffectiveIncomeTaxRateContinuingOperations 32.20%us-gaap_EffectiveIncomeTaxRateContinuingOperations