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Pension Plans - Summary of Change in Fair Value of Plan Assets (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Compensation and Retirement Disclosure [Abstract]    
Fair value of plan assets at beginning of year $ 1,015.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets $ 964.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
Actual return on plan assets 112.9us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets 75.1us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets
Plan participants' contributions 1.2us-gaap_DefinedBenefitPlanContributionsByPlanParticipants 1.2us-gaap_DefinedBenefitPlanContributionsByPlanParticipants
Employer contributions 44.8us-gaap_DefinedBenefitPlanContributionsByEmployer 35.3us-gaap_DefinedBenefitPlanContributionsByEmployer
Benefits paid (59.2)us-gaap_DefinedBenefitPlanBenefitsPaid (59.5)us-gaap_DefinedBenefitPlanBenefitsPaid
Foreign currency impact (11.7)us-gaap_DefinedBenefitPlanForeignCurrencyExchangeRateChangesPlanAssets (0.7)us-gaap_DefinedBenefitPlanForeignCurrencyExchangeRateChangesPlanAssets
Fair value of plan assets at end of year 1,103.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets 1,015.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
Unfunded status at end of year $ (222.5)sna_DefinedBenefitPlanUnfundedStatusOfPlan $ (136.9)sna_DefinedBenefitPlanUnfundedStatusOfPlan