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Condensed Consolidated Statements of Equity (Unaudited) (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. 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 98.2sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest     95.9sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    2.3sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss) 7.9us-gaap_OtherComprehensiveIncomeLossNetOfTax       7.9us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Cash dividends (25.6)us-gaap_DividendsCommonStockCash     (25.6)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
     
Dividend reinvestment plan and other (2.8)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan     (0.3)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    (2.5)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Stock compensation plans 10.8sna_StockCompensationPlans   (4.9)sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
    15.7sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Share repurchases (22.1)us-gaap_TreasuryStockValueAcquiredCostMethod         (22.1)us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Tax benefit from certain stock options 6.9us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation   6.9us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
       
Balance at Mar. 29, 2014 2,203.7us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest 67.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
227.1us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
2,394.1us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(36.9)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
(465.0)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
17.0us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
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
Net earnings 113.2sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest     110.5sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    2.7sna_NetEarningsExcludingNetLossAttributableToRedeemableNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss) (91.0)us-gaap_OtherComprehensiveIncomeLossNetOfTax       (91.0)us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Cash dividends (30.9)us-gaap_DividendsCommonStockCash     (30.9)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
     
Dividend reinvestment plan and other (2.7)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan     (0.2)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
    (2.5)us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
Stock compensation plans 13.1sna_StockCompensationPlans   (4.2)sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
    17.3sna_StockCompensationPlans
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Share repurchases (49.7)us-gaap_TreasuryStockValueAcquiredCostMethod         (49.7)us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
 
Tax benefit from certain stock options 11.0us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation   11.0us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
       
Balance at Apr. 04, 2015 $ 2,188.3us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest $ 67.4us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 261.5us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ 2,716.6us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (339.2)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
$ (535.7)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 17.7us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember