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Fair Value Measurements and Fair Value of Financial Instruments - Liabilities, Unobservable Input Reconciliation (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]  
Balance at beginning of period $ 0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue
Acquisition 1,205us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues
Current period expense 80us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings
Currency translation (152)kai_FairValueMeasurementWithUnobservableInputsReconcilliationRecurringBasisLiabilityCurrencyTranslationAdjustment
Balance at end of period $ 1,133us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue