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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Detail) (USD $)
In Millions, unless otherwise specified
Jan. 03, 2015
Dec. 28, 2013
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, Total $ 347.9us-gaap_FiniteLivedIntangibleAssetsGross $ 324.5us-gaap_FiniteLivedIntangibleAssetsGross
Non-amortized trademarks 61.6us-gaap_IndefiniteLivedTrademarks 51.6us-gaap_IndefiniteLivedTrademarks
Total other intangible assets 409.5us-gaap_IntangibleAssetsGrossExcludingGoodwill 376.1us-gaap_IntangibleAssetsGrossExcludingGoodwill
Accumulated Amortization, Total (206.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization (185.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Total other intangible assets (206.2)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill (185.6)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill
Customer relationships [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, Total 147.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
140.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Accumulated Amortization, Total (71.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
(62.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Developed technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, Total 19.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
19.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Accumulated Amortization, Total (19.2)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 142.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_InternallyDevelopedSoftwareMember
125.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_InternallyDevelopedSoftwareMember
Accumulated Amortization, Total (92.0)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_InternallyDevelopedSoftwareMember
(80.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_InternallyDevelopedSoftwareMember
Patents [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, Total 29.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
28.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Accumulated Amortization, Total (20.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
(20.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Trademarks [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, Total 2.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
2.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Accumulated Amortization, Total (1.6)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 7.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_OtherFiniteLivedIntangibleAssetsMember
7.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_OtherFiniteLivedIntangibleAssetsMember
Accumulated Amortization, Total $ (1.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_OtherFiniteLivedIntangibleAssetsMember
$ (1.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= sna_OtherFiniteLivedIntangibleAssetsMember