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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Detail) (USD $) In Millions, unless otherwise specified | Apr. 04, 2015 | Jan. 03, 2015
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Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | $ 349.1 us-gaap_FiniteLivedIntangibleAssetsGross | $ 347.9 us-gaap_FiniteLivedIntangibleAssetsGross
Non-amortized trademarks | 59.5 us-gaap_IndefiniteLivedTrademarks | 61.6 us-gaap_IndefiniteLivedTrademarks
Total other intangible assets | 408.6 us-gaap_IntangibleAssetsGrossExcludingGoodwill | 409.5 us-gaap_IntangibleAssetsGrossExcludingGoodwill
Accumulated Amortization, Total | (209.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization | (206.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Total other intangible assets | (209.8)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill | (206.2)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill
Customer relationships [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 146.1 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember | 147.1 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember
Accumulated Amortization, Total | (72.9)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember | (71.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember
Developed technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 18.3 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember | 19.2 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember
Accumulated Amortization, Total | (18.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember | (19.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember
Internally developed software [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 145.8 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember | 142.2 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember
Accumulated Amortization, Total | (95.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember | (92.0)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember
Patents [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 28.9 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember | 29.3 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember
Accumulated Amortization, Total | (20.1)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember | (20.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember
Trademarks [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 2.4 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember | 2.5 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember
Accumulated Amortization, Total | (1.5)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember | (1.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember
Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross carrying value, Total | 7.6 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember | 7.6 us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember
Accumulated Amortization, Total | $ (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember | $ (1.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember

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- Definition Intangible assets, accumulated amortization (excluding goodwill). + References No definition available. + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=26713463&loc=d3e16323-109275 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=26713463&loc=d3e16323-109275 + Details
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- Definition Carrying amount (original costs adjusted for previously recognized amortization and impairment) as of the balance sheet date for the rights acquired through registration of a trademark to gain or protect exclusive use of a business name, symbol or other device or style for a projected indefinite period of benefit. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=26713463&loc=d3e16323-109275 + Details
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- Definition Amount before accumulated amortization of intangible assets, excluding goodwill. + References No definition available. + Details
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