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Nature of Operations and Summary of Significant Accounting Policies - Property, Plant and Equipment (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Gross 118,902us-gaap_PropertyPlantAndEquipmentGross $ 117,997us-gaap_PropertyPlantAndEquipmentGross
Less: Accumulated Depreciation and Amortization 73,937us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment 73,112us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment
Property, Plant and Equipment, at Cost, Net 44,965us-gaap_PropertyPlantAndEquipmentNet 44,885us-gaap_PropertyPlantAndEquipmentNet
Land    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Gross 4,315us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_LandMember
4,797us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_LandMember
Buildings    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Gross 38,067us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_BuildingMember
38,363us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_BuildingMember
Machinery, Equipment, and Leasehold Improvements    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Gross 76,520us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= kai_MachineryEquipmentAndLeaseholdImprovementsMember
$ 74,837us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= kai_MachineryEquipmentAndLeaseholdImprovementsMember
Minimum | Machinery and Equipment    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 2 years  
Minimum | Buildings    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Maximum | Machinery and Equipment    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Maximum | Buildings    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 40 years