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Commitments and Contingencies (Details) - USD ($) $ in Thousands | 3 Months Ended |
--- | --- | ---
Apr. 04, 2026 | Jan. 03, 2026
Commitments and Contingencies Disclosure [Abstract] |  |
Banker's acceptance drafts, maturity period (in months) | 6 months |
Banker's acceptance drafts with recourse | $ 8,482 | $ 9,556

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- Definition Bank Acceptance, Maturity Period + References No definition available. + Details
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Namespace Prefix: | kai_
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Balance Type: | na
Period Type: | duration

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- 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://www.xbrl.org/2009/role/commonPracticeRef -Topic 942 -SubTopic 210 -Name Accounting Standards Codification -Section S45 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147477657/942-210-S45-1 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 942 -SubTopic 210 -Name Accounting Standards Codification -Section S50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147478478/942-210-S50-1 Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -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
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
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