XML 195 R76.htm IDEA: XBRL DOCUMENT v3.25.3

Stockholders' Deficit - Schedule Of Common Stock Reserved For Future Issuance (Details) - shares	Sep. 30, 2025		Dec. 31, 2024
Common Stock Reserved For Future Issuance [Line Items]
Common stock	250,523,000		173,751
Redeemable Convertible Preferred Stock [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock			93,963,000
Outstanding stock options [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	55,990,000		74,211,000
Shares available for issuance under equity incentive plan [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	28,195,000		2,175,000
Redeemable convertible preferred stock warrants [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock			1,969,000
Common stock warrants [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	65,235,000	[1]	1,433
Earn Out Securities [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	74,998,000
Cumulative Redeemable Convertible Preferred Stock [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	14,216,000
Sponsor Earn Out Securities [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	6,250,000
Shares Available For Issuance Under The ESPP [Member]
Common Stock Reserved For Future Issuance [Line Items]
Common stock	5,639,000
[1] Common stock warrants include both equity-classified and liability-classified warrants (see Note 9).

X

- References

No definition available.

+ Details

Name:	kdk_commonstockreservedforfutureissuanceLineItems
Namespace Prefix:	kdk_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Aggregate number of common shares reserved for future issuance.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=us-gaap_RedeemableConvertiblePreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_CommonStockOptionsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_SharesavailableforissuanceunderequityincentiveplanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_RedeemableConvertiblePreferredStockWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_CommonStockWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_EarnOutSecuritiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_CumulativeRedeemableConvertiblePreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_SponsorEarnOutSecuritiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=kdk_SharesAvailableForIssuanceUnderTheEsppMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: