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Summary of Accounting Policies - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
 12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Dec. 31, 2011
Summary Of Accounting Policies [Line Items]        
Investments in unconsolidated affiliates $ 13.3us-gaap_EquityMethodInvestments $ 14.2us-gaap_EquityMethodInvestments    
Note receivable due from sold equity investment     32.0sna_NoteReceivableDueFromSoldEquityInvestment  
Unconsolidated affiliate, including of cash     27.0sna_CashReceivedFromUnconsolidatedAffiliates  
Equity investment dividends 0us-gaap_EquityMethodInvestmentDividendsOrDistributions 0us-gaap_EquityMethodInvestmentDividendsOrDistributions 0us-gaap_EquityMethodInvestmentDividendsOrDistributions  
Purchases from unconsolidated affiliates 15.6sna_PurchaseFromAffiliate 16.0sna_PurchaseFromAffiliate 15.2sna_PurchaseFromAffiliate  
Franchise fee 12.1us-gaap_FranchiseRevenue 11.9us-gaap_FranchiseRevenue 9.9us-gaap_FranchiseRevenue  
Research and engineering costs 52.4us-gaap_ResearchAndDevelopmentExpense 48.4us-gaap_ResearchAndDevelopmentExpense 44.8us-gaap_ResearchAndDevelopmentExpense  
Capitalized software development costs 19.0us-gaap_CapitalizedComputerSoftwareAdditions 19.0us-gaap_CapitalizedComputerSoftwareAdditions 23.0us-gaap_CapitalizedComputerSoftwareAdditions  
Amortization of capitalized software development costs 13.6us-gaap_CapitalizedComputerSoftwareAmortization 14.9us-gaap_CapitalizedComputerSoftwareAmortization 14.3us-gaap_CapitalizedComputerSoftwareAmortization  
Unamortized capitalized software development costs 50.2us-gaap_CapitalizedSoftwareDevelopmentCostsForSoftwareSoldToCustomers 45.1us-gaap_CapitalizedSoftwareDevelopmentCostsForSoftwareSoldToCustomers    
Shipping and handling charges related to manufacturing activities 40.3sna_ShippingAndHandlingChargesRelatedToManufacturingActivities 37.9sna_ShippingAndHandlingChargesRelatedToManufacturingActivities 37.1sna_ShippingAndHandlingChargesRelatedToManufacturingActivities  
Shipping and handling charges 78.5us-gaap_ShippingHandlingAndTransportationCosts 72.7us-gaap_ShippingHandlingAndTransportationCosts 65.4us-gaap_ShippingHandlingAndTransportationCosts  
Advertising and promotion expenses 51.4us-gaap_MarketingAndAdvertisingExpense 49.9us-gaap_MarketingAndAdvertisingExpense 50.1us-gaap_MarketingAndAdvertisingExpense  
Foreign exchange loss 1.5us-gaap_ForeignCurrencyTransactionGainLossBeforeTax 4.4us-gaap_ForeignCurrencyTransactionGainLossBeforeTax 0.7us-gaap_ForeignCurrencyTransactionGainLossBeforeTax  
Dilutive shares 921,050us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment 881,381us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment 669,503us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment  
Options to purchase common stock not included in the computation of diluted earnings per share     296,643us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount  
Cash and cash equivalents 132.9us-gaap_CashAndCashEquivalentsAtCarryingValue 217.6us-gaap_CashAndCashEquivalentsAtCarryingValue 214.5us-gaap_CashAndCashEquivalentsAtCarryingValue 185.6us-gaap_CashAndCashEquivalentsAtCarryingValue
Contractual Maturity One To Five Years [Member]        
Summary Of Accounting Policies [Line Items]        
Note receivable due from sold equity investment     5.0sna_NoteReceivableDueFromSoldEquityInvestment
/ us-gaap_InvestmentTypeAxis
= sna_ContractualMaturityOneToFiveYearsMember		  
Money Market Funds [Member]        
Summary Of Accounting Policies [Line Items]        
Cash and cash equivalents $ 2.5us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_CashAndCashEquivalentsAxis
= us-gaap_MoneyMarketFundsMember		 $ 91.6us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_CashAndCashEquivalentsAxis
= us-gaap_MoneyMarketFundsMember		    
Finance Receivables [Member]        
Summary Of Accounting Policies [Line Items]        
Days past due, finance receivables assessed for charge-off 120 days      
Contract Receivables Related To Equipment Leases [Member]        
Summary Of Accounting Policies [Line Items]        
Days past due, receivables charged-off 150 days      
Minimum [Member]        
Summary Of Accounting Policies [Line Items]        
Percentage of ownership interest under equity method accounting 20.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_RangeAxis
= us-gaap_MinimumMember		      
Revenue recognition, length, in months 12 months      
Maximum [Member]        
Summary Of Accounting Policies [Line Items]        
Percentage of ownership interest under equity method accounting 50.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_RangeAxis
= us-gaap_MaximumMember		      
Revenue recognition, length, in months 60 months      
Days, past due, customer bankruptcies charged-off for finance and contract receivables 180 days      
Maximum [Member] | Finance Receivables [Member]        
Summary Of Accounting Policies [Line Items]        
Days past due, receivables charged-off 60 days      
Maximum [Member] | Contract Receivables Related To Franchise Finance [Member]        
Summary Of Accounting Policies [Line Items]        
Days past due, receivables charged-off 180 days