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Pension Plans - Summary of Amounts in Accumulated OCI to be Amortized Over Next Fiscal Year (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Compensation and Retirement Disclosure [Abstract]  
Amortization of unrecognized loss $ 35.7sna_DefinedBenefitPlanFutureAmortizationOfUnrecognizedGainLoss
Amortization of prior service credit (0.9)us-gaap_DefinedBenefitPlanFutureAmortizationOfPriorServiceCostCredit
Total to be recognized in net periodic benefit cost $ 34.8us-gaap_DefinedBenefitPlanAmountToBeAmortizedFromAccumulatedOtherComprehensiveIncomeLossNextFiscalYear