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Income Taxes - Continuing and Discontinued Operations (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Income Tax Disclosure [Abstract]      
Continuing Operations $ 12,447us-gaap_IncomeTaxExpenseBenefit $ 9,316us-gaap_IncomeTaxExpenseBenefit $ 4,852us-gaap_IncomeTaxExpenseBenefit
Discontinued Operation (14)us-gaap_DiscontinuedOperationTaxEffectOfIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriod (34)us-gaap_DiscontinuedOperationTaxEffectOfIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriod 451us-gaap_DiscontinuedOperationTaxEffectOfIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriod
Provision for Income Taxes Including Discontinued Operation $ 12,433kai_ProvisionBenefitForIncomeTaxesIncludingDiscontinuedOperation $ 9,282kai_ProvisionBenefitForIncomeTaxesIncludingDiscontinuedOperation $ 5,303kai_ProvisionBenefitForIncomeTaxesIncludingDiscontinuedOperation