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Leases - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017
Lessee, Lease, Description [Line Items] |  |  |
Lease, remaining term | 15 years |  |
Lease, option to extend, term | 5 years |  |
Expenses from operating leases |  | $ 5,575 | $ 4,955
China and Canada |  |  |
Lessee, Lease, Description [Line Items] |  |  |
Lease, option to extend, term | 10 years |  |

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- Definition Lease, Option to Extend, Term + References No definition available. + Details
Name: | kai_LeaseOptiontoExtendTerm
Namespace Prefix: | kai_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Lease, Remaining Term + References No definition available. + Details
Name: | kai_LeaseRemainingTerm
Namespace Prefix: | kai_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Rental expense for the reporting period incurred under operating leases, including minimum and any contingent rent expense, net of related sublease income. + References Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef -Publisher FASB -Name Accounting Standards Codification -Topic 840 -SubTopic 20 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=77902758&loc=d3e41499-112717 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | srt_StatementGeographicalAxis=kai_ChinaandCanadaMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |