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Derivatives - Narrative (Details) - USD ($)	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020	Dec. 29, 2018
Derivatives, Fair Value [Line Items]
Loss on foreign currency derivative instruments, not designated as hedging	$ 3,000	$ 34,000
Net unrealized losses included in AOCI expected to be reclassified to earnings over the next 12 months	$ 346,000
Cash Flow Hedging | Designated as Hedging Instrument
Derivatives, Fair Value [Line Items]
Rate of effectiveness of derivative agreement	100.00%
Cash Flow Hedging | Designated as Hedging Instrument | 2018 Swap Agreement
Derivatives, Fair Value [Line Items]
Derivative, notional amount			$ 15,000,000
Fixed rate of interest			3.15%
Cash Flow Hedging | Designated as Hedging Instrument | Forward currency-exchange contract
Derivatives, Fair Value [Line Items]
Period over which entity manages its level of exposure of risk	12 months

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_
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Period Type:	duration

X

- 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://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 30
-Section 50
-Paragraph 1
-Subparagraph (c)
-URI http://asc.fasb.org/extlink&oid=121549185&loc=d3e80748-113994

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X

- Definition

Fixed interest rate related to the interest rate derivative.

+ References

No definition available.

+ Details

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X

- Definition

Nominal or face amount used to calculate payment on derivative.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 1B
-URI http://asc.fasb.org/extlink&oid=121590274&loc=SL5580258-113959

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 1A
-Subparagraph (d)
-URI http://asc.fasb.org/extlink&oid=121590274&loc=SL5579245-113959

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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

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- 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://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 4A
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=121590274&loc=SL5618551-113959

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 4C
-Subparagraph (e)
-URI http://asc.fasb.org/extlink&oid=121590274&loc=SL5624171-113959

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- Details

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