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Income Taxes - Reconciliation (Details) (USD $) In Thousands, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Income Tax Disclosure [Abstract]
Provision for Income Taxes at Statutory Rate	$ 14,531us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate	$ 11,559us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate	$ 12,576us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal tax	694us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes	304us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes	295us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
U.S. tax cost (benefit) of foreign earnings	206kai_IncomeTaxReconciliationUSTaxCostBenefitOfForeignIncome	(119)kai_IncomeTaxReconciliationUSTaxCostBenefitOfForeignIncome	791kai_IncomeTaxReconciliationUSTaxCostBenefitOfForeignIncome
Foreign tax rate differential	(3,026)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential	(2,681)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential	(2,298)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential
(Reversal) provision of tax benefit reserves, net	(1,017)us-gaap_IncomeTaxReconciliationTaxContingenciesOther	853us-gaap_IncomeTaxReconciliationTaxContingenciesOther	624us-gaap_IncomeTaxReconciliationTaxContingenciesOther
Change in valuation allowance	125us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance	(968)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance	(7,051)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Nondeductible expenses	1,398us-gaap_IncomeTaxReconciliationNondeductibleExpense	1,580us-gaap_IncomeTaxReconciliationNondeductibleExpense	775us-gaap_IncomeTaxReconciliationNondeductibleExpense
Research and development tax credits	(274)us-gaap_IncomeTaxReconciliationTaxCreditsResearch	(638)us-gaap_IncomeTaxReconciliationTaxCreditsResearch	(623)us-gaap_IncomeTaxReconciliationTaxCreditsResearch
Other	(190)us-gaap_IncomeTaxReconciliationOtherAdjustments	(574)us-gaap_IncomeTaxReconciliationOtherAdjustments	(237)us-gaap_IncomeTaxReconciliationOtherAdjustments
Continuing Operations	$ 12,447us-gaap_IncomeTaxExpenseBenefit	$ 9,316us-gaap_IncomeTaxExpenseBenefit	$ 4,852us-gaap_IncomeTaxExpenseBenefit

X

- Definition

The portion of the difference, between total income tax expense or benefit as reported in the foreign income for the period and the expected domestic income tax expense or benefit for foreign earnings.

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to increase (decrease) in the valuation allowance for deferred tax assets.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to foreign income tax expense (benefit).

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to nondeductible expenses.

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