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Acquisitions - Purchase Price Allocation (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Business Acquisition [Line Items]      
Goodwill $ 127,882us-gaap_Goodwill $ 131,915us-gaap_Goodwill $ 107,947us-gaap_Goodwill
Cash 12,658us-gaap_PaymentsToAcquireBusinessesGross 67,453us-gaap_PaymentsToAcquireBusinessesGross 0us-gaap_PaymentsToAcquireBusinessesGross
2014 Acquisitions      
Business Acquisition [Line Items]      
Cash and cash equivalents 674us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Inventories 1,064us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Other current assets 324us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Property, plant & equipment 847us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Goodwill 3,463us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Total assets acquired 14,032us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Total liabilities assumed 1,001us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Net assets acquired 13,031us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Cash 11,840us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Contingent consideration 1,191us-gaap_ContingentConsiderationClassifiedAsEquityFairValueDisclosure
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
Total purchase price 13,031us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
   
2014 Acquisitions | Customer relationships      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired 4,700us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
2014 Acquisitions | Intellectual property      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired 2,600us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_IntellectualPropertyMember
   
2014 Acquisitions | Other      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired 360us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2014AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
   
2013 Acquisitions      
Business Acquisition [Line Items]      
Cash and cash equivalents   1,966us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Inventories   17,757us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Property, plant & equipment   5,891us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Accounts receivable   8,523us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Other assets   3,237us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Goodwill   24,744us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Total assets acquired   89,137us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Long-term deferred tax liabilities   6,032us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilitiesNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Other liabilities   14,834us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Total liabilities assumed   20,866us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Net assets acquired   68,271us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
Cash   68,271us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
 
2013 Acquisitions | Customer relationships      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired   5,340us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
 
2013 Acquisitions | Intellectual property      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired   18,786us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_IntellectualPropertyMember
 
2013 Acquisitions | Other      
Business Acquisition [Line Items]      
Identifiable intangible assets acquired   $ 2,893us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= kai_A2013AcquisitionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember