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Commitments and Contingencies (Details) - USD ($) $ in Thousands	6 Months Ended
	Jun. 28, 2025	Dec. 28, 2024
Commitments and Contingencies Disclosure [Abstract]
Banker's acceptance drafts, maturity period (in months)	6 months
Banker's acceptance drafts with recourse	$ 6,777	$ 7,952

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
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(14))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1

+ 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