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Income Taxes - Additional Information (Detail) (USD $) In Millions, unless otherwise specified | 12 Months Ended |
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Jan. 03, 2015 | Dec. 28, 2013 | Dec. 29, 2012 | Dec. 31, 2011
Income Tax [Line Items] |  |  |  |
Effective income tax rate | 32.10%sna_EffectiveIncomeTaxRateContinuingOperations1 | 32.30%sna_EffectiveIncomeTaxRateContinuingOperations1 | 32.80%sna_EffectiveIncomeTaxRateContinuingOperations1 |
Net operating loss carryforwards | $ 305.3 us-gaap_DeferredTaxAssetsOperatingLossCarryforwards |  |  |
Valuation allowance | 34.8 us-gaap_DeferredTaxAssetsValuationAllowance | 45.4 us-gaap_DeferredTaxAssetsValuationAllowance | 43.9 us-gaap_DeferredTaxAssetsValuationAllowance |
Unrecognized tax benefits | 6.4 us-gaap_UnrecognizedTaxBenefits | 4.6 us-gaap_UnrecognizedTaxBenefits | 6.8 us-gaap_UnrecognizedTaxBenefits | 11.0 us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits that would impact the effective income tax rate | 6.4 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate | 4.6 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate | 4.1 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate |
Interest and penalties related to unrecognized tax benefits | 0.4 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense | 0.6 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense |  |
Accrued interest and penalties related to unrecognized tax benefits | 0.5 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued | 0.9 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued | 1.6 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued |
Increase in unrecognized tax benefits | 1.8 us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions | 0.5 us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions | 1.2 us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions |
Undistributed earnings | 619.1 us-gaap_UndistributedEarnings | 556.0 us-gaap_UndistributedEarnings | 492.2 us-gaap_UndistributedEarnings |
Minimum [Member] |  |  |  |
Income Tax [Line Items] |  |  |  |
Decrease in unrecognized tax benefits | 0 us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromCurrentPeriodTaxPositions / us-gaap_RangeAxis = us-gaap_MinimumMember |  |  |
Increase in unrecognized tax benefits | 0 us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions / us-gaap_RangeAxis = us-gaap_MinimumMember |  |  |
Maximum [Member] |  |  |  |
Income Tax [Line Items] |  |  |  |
Decrease in unrecognized tax benefits | 0.9 us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromCurrentPeriodTaxPositions / us-gaap_RangeAxis = us-gaap_MaximumMember |  |  |
Increase in unrecognized tax benefits | $ 0.7 us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions / us-gaap_RangeAxis = us-gaap_MaximumMember |  |  |

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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible operating loss carryforwards. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32621-109319 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32632-109319 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 25 -Paragraph 20 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=29652012&loc=d3e28680-109314 + Details
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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32537-109319 + Details
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- Definition Amount of unrecognized tax benefits pertaining to uncertain tax positions taken in tax returns. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Unrecognized Tax Benefit -URI http://asc.fasb.org/extlink&oid=6527854 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=6907707&loc=SL6600010-109319 + Details
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- Definition Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319 + Details
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- Definition Amount of expense for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319 + Details
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