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Postretirement Plans - Summary of Amounts Included in Accumulated Other Comprehensive Income on Accompanying Consolidated Balance Sheets (Detail) (U.S. Postretirement Health Care Plans [Member], USD $)
In Millions, unless otherwise specified
Jan. 03, 2015
Dec. 28, 2013
U.S. Postretirement Health Care Plans [Member]
   
Defined Benefit Plan Disclosure [Line Items]    
Net gain (loss), net of tax $ 2.4sna_PensionAndOtherPostretirementBenefitPlansAccumulatedOtherComprehensiveIncomeLossNetGainsLossesNetOfTax
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_UnitedStatesPostretirementBenefitPlansOfUSEntityDefinedBenefitMember
$ 4.2sna_PensionAndOtherPostretirementBenefitPlansAccumulatedOtherComprehensiveIncomeLossNetGainsLossesNetOfTax
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_UnitedStatesPostretirementBenefitPlansOfUSEntityDefinedBenefitMember