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Derivatives - Additional Information (Details) (USD $) | 12 Months Ended |  |  |
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Jan. 03, 2015 | Dec. 28, 2013 | Dec. 29, 2012 | Dec. 31, 2011 | Dec. 31, 2010 | Dec. 31, 2008
Forward Currency-Exchange Contracts | Derivatives Not Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Gain (loss) on foreign currency derivative instruments, not designated as hedging | $ (14,000)us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_ForeignExchangeForwardMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember | $ 146,000 us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_ForeignExchangeForwardMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember | $ 12,000 us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_ForeignExchangeForwardMember / us-gaap_HedgingDesignationAxis = us-gaap_NondesignatedMember |  |  |
Cash Flow Hedging | Derivatives Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Amounts to be reclassified into earnings | 217,000 us-gaap_CashFlowHedgeGainLossToBeReclassifiedWithinTwelveMonths / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Cash Flow Hedging | Swap Agreement 2008 | Derivatives Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Credit derivative, term | 5 years |  |  |  |  |
Notional amount |  |  |  | 5,000,000 invest_DerivativeNotionalAmount / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember | 10,000,000 invest_DerivativeNotionalAmount / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember | 15,000,000 invest_DerivativeNotionalAmount / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember
Derivative, fixed interest rate | 3.265%us-gaap_DerivativeFixedInterestRate / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Rate of effectiveness of derivative agreement | 100.00%kai_RateOfEffectivenessOfDerivativeAgreement / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Maximum consolidated leverage ratio | 3.5 kai_MaximumConsolidatedLeverageRatio / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Minimum consolidated interest charge coverage ratio | 3 kai_MinimumConsolidatedInterestChargeCoverageRatio / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2008Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Cash Flow Hedging | Swap Agreement 2006 | Derivatives Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Derivative, fixed interest rate | 5.63%us-gaap_DerivativeFixedInterestRate / us-gaap_DerivativeInstrumentRiskAxis = kai_SwapAgreement2006Member / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Cash Flow Hedging | Interest rate swap agreements | Derivatives Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Unrealized gain (loss) on derivatives | $ 377,000 us-gaap_UnrealizedGainLossOnDerivatives / us-gaap_DerivativeInstrumentRiskAxis = us-gaap_InterestRateSwapMember / us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis = us-gaap_CashFlowHedgingMember / us-gaap_HedgingDesignationAxis = us-gaap_DesignatedAsHedgingInstrumentMember |  |  |  |  |
Cash Flow Hedging | Forward Currency-Exchange Contracts | Derivatives Designated as Hedging Instruments |  |  |  |  |  |
Derivatives, Fair Value [Line Items] |  |  |  |  |  |
Period over which entity manages its level of exposure of risk | 12 months |  |  |  |  |

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- Definition Aggregate notional amount specified by the derivative(s). Expressed as an absolute value. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Article 12 -Section 13 -Sentence Column B + Details
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Namespace Prefix: | invest_
Data Type: | xbrli:monetaryItemType
Balance Type: | na
Period Type: | instant

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- Definition The maximum consolidated leverage ratio under the negative covenants of the credit facility. + References No definition available. + Details
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Data Type: | xbrli:pureItemType
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- Definition The minimum consolidated interest charge coverage ratio (calculated as income before interest and taxes, divided by interest) to be in compliance with the financial covenant under an existing debt agreement. + References No definition available. + Details
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Balance Type: | na
Period Type: | duration

X
- Definition The period over which the entity typically manages its level of exposure to the risk of currency-exchange fluctuations by hedging a portion of its currency exposures anticipated over the ensuing period. + References No definition available. + Details
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- Definition The percentage of effectiveness of derivative instruments. + References No definition available. + Details
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Namespace Prefix: | kai_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition The estimated net amount of existing gains or losses on cash flow hedges at the reporting date expected to be reclassified to earnings within the next 12 months. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=35736893&loc=d3e80748-113994 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Term of the credit risk derivative contract, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4K -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=35706170&loc=SL5708775-113959 + Details
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Balance Type: | na
Period Type: | duration

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- Definition Fixed interest rate related to the interest rate derivative. + References No definition available. + Details
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Data Type: | num:percentItemType
Balance Type: | na
Period Type: | instant

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- Details
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X
- Definition Amount of gain (loss) recognized in earnings in the period from the increase (decrease) in fair value of foreign currency derivatives not designated as hedging instruments. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4A -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=35706170&loc=SL5618551-113959 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=35706170&loc=SL5624171-113959 + Details
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Balance Type: | credit
Period Type: | duration

X
- Definition The net change in the difference between the fair value and the carrying value, or in the comparative fair values, of derivative instruments, including options, swaps, futures, and forward contracts, held at each balance sheet date, that was included in earnings for the period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585 + Details
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Balance Type: | credit
Period Type: | duration

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- Details
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- Details
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