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Goodwill and Other Intangible Assets - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Goodwill $ 810.7us-gaap_Goodwill $ 838.8us-gaap_Goodwill $ 807.4us-gaap_Goodwill
Goodwill purchase accounting related to acquisition 13.2us-gaap_GoodwillAcquiredDuringPeriod 24.8us-gaap_GoodwillAcquiredDuringPeriod  
Accumulated impairment losses 0us-gaap_GoodwillImpairedAccumulatedImpairmentLoss    
Weighted-average amortization period (in years) 12 years    
Aggregate amortization expense 24.7us-gaap_AmortizationOfIntangibleAssets 25.5us-gaap_AmortizationOfIntangibleAssets 26.5us-gaap_AmortizationOfIntangibleAssets
Estimated annual amortization expense for fiscal period 2015 24.3us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths    
Estimated annual amortization expense for fiscal period 2016 19.5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo    
Estimated annual amortization expense for fiscal period 2017 16.1us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree    
Estimated annual amortization expense for fiscal period 2018 13.4us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour    
Estimated annual amortization expense for fiscal period 2019 12.8us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive    
Tax Deductible Acquisition Goodwill [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Goodwill purchase accounting related to acquisition 13.2us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= sna_TaxDeductibleAcquisitionGoodwillMember
   
Non Tax Deductible Acquisition Goodwill [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Goodwill purchase accounting related to acquisition 24.8us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= sna_NonTaxDeductibleAcquisitionGoodwillMember
   
Customer relationships [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Weighted-average amortization period (in years) 15 years    
Customer relationship contractual term, minimum (in years) 3 years    
Customer relationship contractual term, maximum (in years) 5 years    
Customer relationships [Member] | Pro-Cut International, Inc [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Customer relationship value 7.4us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= sna_ProCutInternationalIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Customer relationships [Member] | Challenger Lifts Inc [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Customer relationship value 5.2us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= sna_ChallengerLiftsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
5.2us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= sna_ChallengerLiftsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
 
Trademarks [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Weighted-average amortization period (in years) 6 years    
Trademarks [Member] | Pro-Cut International, Inc [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Non-amortized trademark 13.8us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= sna_ProCutInternationalIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Trademarks [Member] | Challenger Lifts Inc [Member]      
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]      
Non-amortized trademark $ 3.2us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= sna_ChallengerLiftsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
$ 3.2us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= sna_ChallengerLiftsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember