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Consolidated Statements of Equity (USD $)
In Millions
Total
Common Stock [Member]
Additional Paid-in Capital [Member]
Retained Earnings [Member]
Accumulated Other Comprehensive Income (Loss) [Member]
Treasury Stock [Member]
Noncontrolling Interests [Member]
Balance at Dec. 31, 2011 $ 1,547.3us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest $ 67.3us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 181.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ 1,843.7us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (174.6)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
$ (386.9)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 16.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Net earnings 314.6sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest     306.1sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    8.5sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss) 50.4us-gaap_OtherComprehensiveIncomeLossNetOfTax       50.4us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Cash dividends (81.5)us-gaap_DividendsCommonStockCash     (81.5)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
     
Dividend reinvestment plan and other (7.9)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan 0.1us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
1.3us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
(1.3)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    (8.0)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Stock compensation plans 66.0sna_StockCompensationPlans   13.7sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
    52.3sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Share repurchases (78.1)us-gaap_TreasuryStockValueAcquiredCostMethod         (78.1)us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Tax benefit from certain stock options 8.2us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation   8.2us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
       
Balance at Dec. 29, 2012 1,819.0us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest 67.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
204.6us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
2,067.0us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(124.2)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
(412.7)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
16.9us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Net earnings 359.7sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest     350.3sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    9.4sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss) 79.4us-gaap_OtherComprehensiveIncomeLossNetOfTax       79.4us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Cash dividends (92.0)us-gaap_DividendsCommonStockCash     (92.0)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
     
Dividend reinvestment plan and other (10.3)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan     (1.2)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    (9.1)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Stock compensation plans 47.4sna_StockCompensationPlans   10.7sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
    36.7sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Share repurchases (82.6)us-gaap_TreasuryStockValueAcquiredCostMethod         (82.6)us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Tax benefit from certain stock options 9.8us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation   9.8us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
       
Balance at Dec. 28, 2013 2,130.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest 67.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
225.1us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
2,324.1us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(44.8)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
(458.6)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
17.2us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Net earnings 432.1sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest     421.9sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    10.2sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss) (203.4)us-gaap_OtherComprehensiveIncomeLossNetOfTax       (203.4)us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Cash dividends (107.6)us-gaap_DividendsCommonStockCash     (107.6)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
     
Dividend reinvestment plan and other (11.1)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan     (1.2)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    (9.9)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Stock compensation plans 50.3sna_StockCompensationPlans   15.7sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
    34.6sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Share repurchases (79.3)us-gaap_TreasuryStockValueAcquiredCostMethod         (79.3)us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Tax benefit from certain stock options 13.9us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation   13.9us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
       
Balance at Jan. 03, 2015 $ 2,225.3us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest $ 67.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 254.7us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ 2,637.2us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (248.2)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
$ (503.3)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 17.5us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember