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Commitments and Contingencies (Details) - USD ($) $ in Thousands	6 Months Ended
	Jul. 02, 2022	Jan. 01, 2022
Commitments and Contingencies Disclosure [Abstract]
Banker's acceptance drafts, maturity period (in months)	6 months
Banker's acceptance drafts with recourse	$ 11,080	$ 9,593

X

- Definition

Bank Acceptance, Maturity Period

+ References

No definition available.

+ Details

Name:	kai_BankAcceptanceMaturityPeriod
Namespace Prefix:	kai_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The amount of the financial institution's obligation to pay the holder of the customer's draft which the financial institution has guaranteed (i.e., Banker's Acceptance).

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03.14)
-URI https://asc.fasb.org/extlink&oid=126897435&loc=d3e534808-122878

+ Details

Name:	us-gaap_BankAcceptancesExecuted
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration