Common Stock and Share Transactions - Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders (Details) - USD ($) $ in Thousands	3 Months Ended
Mar. 31, 2026	Mar. 31, 2025
Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders [Line Items]
DRIP value	$ 0	$ 4,027
Dividend Reinvestment Plan [Member]
Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders [Line Items]
DRIP shares issued	0	240,972
DRIP value	$ 0	$ 4,027
Dividend Reinvestment Plan [Member] \| December 31, 2024 [Member] \| O 2025 Q1 Dividends [Member]
Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders [Line Items]
Dividend record date		Dec. 31, 2024
Dividend payment date		Jan. 15, 2025
DRIP shares issued		205,626
DRIP value		$ 3,434
Dividend Reinvestment Plan [Member] \| March 3, 2025 [Member] \| O 2025 Q1 Dividends [Member]
Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders [Line Items]
Dividend record date		Mar. 03, 2025
Dividend payment date		Mar. 18, 2025
DRIP shares issued		35,346
DRIP value		$ 593
Dividend Reinvestment Plan [Member] \| December 31 2025 [Member] \| O 2026 Q1 Dividends [Member]
Schedule of Amounts Received and Shares of Common Stock Issued to Shareholders [Line Items]
Dividend record date	Dec. 31, 2025
Dividend payment date	Jan. 16, 2026
DRIP shares issued	0
DRIP value	$ 0

Date the declared dividend will be paid, in YYYY-MM-DD format.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482913/230-10-50-3

+ Details

Name:	us-gaap_DividendPayableDateToBePaidDayMonthAndYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Date the holder must own the stock to be entitled to the dividend, in YYYY-MM-DD format.

+ References

No definition available.

+ Details

Name:	us-gaap_DividendsPayableDateOfRecordDayMonthAndYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- 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

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

- Definition

Number of shares issued during the period from a dividend reinvestment plan (DRIP). A dividend reinvestment plan allows the shareholders to reinvest dividends paid to them by the entity on new issues of stock by the entity.

+ References

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Value of stock issued during the period from a dividend reinvestment plan (DRIP). A dividend reinvestment plan allows the holder of the stock to reinvest dividends paid to them by the entity on new issues of stock by the entity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-2

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Topic 946
-SubTopic 830
-Name Accounting Standards Codification
-Section 55
-Paragraph 11
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479168/946-830-55-11

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 205
-Name Accounting Standards Codification
-Section 45
-Paragraph 4
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478009/946-205-45-4

Reference 4: http://www.xbrl.org/2003/role/exampleRef
-Topic 946
-SubTopic 230
-Name Accounting Standards Codification
-Section 55
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479083/946-230-55-1

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 505
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478448/946-505-50-2

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(4)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-3

+ Details

Name:	us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Details

Name:	us-gaap_PlanNameAxis=kbdc_DividendReinvestmentPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	kbdc_DividendDateAxis=kbdc_December312024Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=kbdc_O2025Q1DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	kbdc_DividendDateAxis=kbdc_March32025Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	kbdc_DividendDateAxis=kbdc_December312025Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=kbdc_O2026Q1DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: