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

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- Definition Amount of currency on hand as well as demand deposits with banks or financial institutions, acquired at the acquisition date. Includes other kinds of accounts that have the general characteristics of demand deposits. Also includes short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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- Definition Amount due from customers or clients for goods or services, including trade receivables, that have been delivered or sold in the normal course of business, and amounts due from others, including related parties expected to be converted to cash, sold or exchanged within one year or the normal operating cycle, if longer, acquired at the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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- Definition Amount of intangible assets, excluding goodwill, acquired at the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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- Definition The amount of inventory recognized as of the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 55 -Paragraph 37 -URI http://asc.fasb.org/extlink&oid=35744172&loc=d3e2207-128464 + Details
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- Definition Amount of liabilities assumed at the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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- Definition Amount recognized as of the acquisition date for the identifiable assets acquired in excess of (less than) the aggregate liabilities assumed. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 55 -Paragraph 37 -URI http://asc.fasb.org/extlink&oid=35744172&loc=d3e2207-128464 + Details
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- Definition Amount of other liabilities due after one year or the normal operating cycle, if longer, assumed at the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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- Definition Amount of other assets expected to be realized or consumed after one year or the normal operating cycle, if longer, acquired at the acquisition date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=39739317&loc=d3e4845-128472 + Details
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