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Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Detail) (USD $)
In Millions, unless otherwise specified
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Income Tax Disclosure [Abstract]      
Inventories $ 29.2us-gaap_DeferredTaxAssetsInventory $ 24.4us-gaap_DeferredTaxAssetsInventory $ 25.0us-gaap_DeferredTaxAssetsInventory
Accruals not currently deductible 72.7us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves 63.2us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves 60.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves
Valuation allowance (1.1)us-gaap_DeferredTaxAssetsValuationAllowanceCurrent (2.4)us-gaap_DeferredTaxAssetsValuationAllowanceCurrent (3.7)us-gaap_DeferredTaxAssetsValuationAllowanceCurrent
Total current (included in deferred income tax assets and other accrued liabilities) 100.8us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent 85.2us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent 81.7us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent
Employee benefits 91.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits 62.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits 108.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits
Net operating losses 53.5sna_DeferredTaxAssetsNetOperatingLossNonCurrent 59.9sna_DeferredTaxAssetsNetOperatingLossNonCurrent 59.2sna_DeferredTaxAssetsNetOperatingLossNonCurrent
Depreciation and amortization (191.2)sna_DeferredTaxLiabilitiesDepreciationAndAmortization (180.8)sna_DeferredTaxLiabilitiesDepreciationAndAmortization (161.4)sna_DeferredTaxLiabilitiesDepreciationAndAmortization
Valuation allowance (33.7)us-gaap_DeferredTaxAssetsValuationAllowanceNoncurrent (43.0)us-gaap_DeferredTaxAssetsValuationAllowanceNoncurrent (40.2)us-gaap_DeferredTaxAssetsValuationAllowanceNoncurrent
Equity-based compensation 19.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 17.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 17.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost
Other (5.7)sna_DeferredTaxAssetsLongTermOther (2.9)sna_DeferredTaxAssetsLongTermOther 0.4sna_DeferredTaxAssetsLongTermOther
Total long term (66.0)us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent (86.7)us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent (16.8)us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent
Net deferred income tax asset (liability) $ 34.8us-gaap_DeferredTaxAssetsLiabilitiesNet $ (1.5)us-gaap_DeferredTaxAssetsLiabilitiesNet $ 64.9us-gaap_DeferredTaxAssetsLiabilitiesNet