Net Contingent Ceding Commissions Payable

No definition available.

Name:	king_NetContingentCedingCommissionsPayable
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Net Contingent Ceding Commissions Receivable

+ References

No definition available.

+ Details

Name:	king_NetContingentCedingCommissionsReceivable
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Quota Share Treaty Percent Ceded

+ References

No definition available.

+ Details

Name:	king_QuotaShareTreatyPercentCeded
Namespace Prefix:	king_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Reinsurance Policy Excess Of Loss Protection Amount

+ References

No definition available.

+ Details

Name:	king_ReinsurancePolicyExcessOfLossProtectionAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Underlying Excess of Loss Treaty, Excess Coverage, Amount

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessCoverageAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Excess of Loss Coverage, Amount

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessOfLossCoverageAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Excess of Loss Coverage, Excluded Amount

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessOfLossCoverageExcludedAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Excess of Perils Loss Coverage, Amount

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessOfPerilsLossCoverageAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Excess of Perils Loss Coverage, Excluded Amount

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessOfPerilsLossCoverageExcludedAmount
Namespace Prefix:	king_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Excess Reinsurance Coverage, Percent

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyExcessReinsuranceCoveragePercent
Namespace Prefix:	king_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Perils Coverage, Percent

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyPerilsCoveragePercent
Namespace Prefix:	king_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Underlying Excess of Loss Treaty, Reinsurance Coverage, Percent

+ References

No definition available.

+ Details

Name:	king_UnderlyingExcessOfLossTreatyReinsuranceCoveragePercent
Namespace Prefix:	king_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-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/2003/role/disclosureRef
-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/2003/role/disclosureRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(16))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(22)(a)(1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 9
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480657/210-10-S50-9

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 470
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 1B
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481139/470-20-50-1B

+ Details

Name:	us-gaap_DebtInstrumentInterestRateStatedPercentage
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- 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

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479838/944-20-50-1

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (a)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (b)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 5: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (b)(3)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 6: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (c)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 7: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (c)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 8: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (c)(3)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 9: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (d)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 10: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (d)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

Reference 11: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (e)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479032/944-605-50-1

+ Details

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

- Definition

Excess (deficiency) of net proceeds received over the net carrying value of a certain, bundled grouping of insurance policies.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-04(3)(a))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477250/944-220-S99-1

+ Details

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

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=king_Series20251NotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_StatementScenarioAxis=srt_ScenarioForecastMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=king_PropertyAndCasualtyPersonalInsuranceProductLinesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Property and Casualty Insurance Activity - Narrative (Details) - USD ($)					3 Months Ended		6 Months Ended				7 Months Ended		9 Months Ended		12 Months Ended			18 Months Ended
	Jul. 01, 2026	Jan. 01, 2026	Jul. 01, 2025	Jan. 01, 2025	Mar. 31, 2027	Mar. 31, 2026	Dec. 31, 2026	Jun. 30, 2026	Dec. 31, 2025	Jun. 30, 2025	Apr. 30, 2026	Apr. 30, 2025	Sep. 30, 2026	Sep. 30, 2025	Jun. 30, 2027	Dec. 31, 2026	Jun. 30, 2026	Jun. 30, 2025
Effects of Reinsurance [Line Items]
Incurred losses and LAE under reinsurance contracts													$ 21,703,501	$ 16,313,217
Collateralized reinsurance protection amount			$ 125,000,000
Underlying XOL treaty, reinsurance coverage (percent)										50.00%	90.00%	71.00%					50.00%	50.00%
Underlying XOL treaty, excess of loss coverage amount	$ 495,000,000		435,000,000							$ 400,000	$ 5,000,000	$ 4,500,000					$ 250,000
Underlying XOL treaty, excess of loss coverage excluded amount	$ 5,000,000		$ 5,000,000							$ 600,000	$ 5,000,000	$ 5,500,000					$ 750,000
Underlying XOL treaty, excess reinsurance coverage (percent)																	100.00%
Net contingent ceding commissions receivable									$ 1,754,316				2,371,463
Net contingent ceding commissions payable									$ 732,480				$ 724,660
Minimum
Effects of Reinsurance [Line Items]
Underlying XOL treaty, excess coverage amount																	$ 1,000,000
Maximum
Effects of Reinsurance [Line Items]
Underlying XOL treaty, excess coverage amount																	$ 9,000,000
Series 2025-1 Notes
Effects of Reinsurance [Line Items]
Debt instrument, interest rate			4.50%
Forecast
Effects of Reinsurance [Line Items]
Underlying XOL treaty, reinsurance coverage (percent)															50.00%
Underlying XOL treaty, excess of loss coverage amount															$ 250,000
Underlying XOL treaty, excess of loss coverage excluded amount															$ 750,000
Underlying XOL treaty, excess reinsurance coverage (percent)															100.00%
Underlying excess of loss treaty, perils coverage, (percent)															70.00%
Underlying excess of loss Treaty, excess of perils loss coverage, amount															$ 5,000,000
Underlying excess of loss treaty, excess of perils loss coverage, excluded amount															5,000,000
Forecast \| Minimum
Effects of Reinsurance [Line Items]
Underlying XOL treaty, excess coverage amount															1,000,000
Forecast \| Maximum
Effects of Reinsurance [Line Items]
Underlying XOL treaty, excess coverage amount															$ 11,000,000
Personal Lines:
Effects of Reinsurance [Line Items]
Quota share treaty percent ceded		5.00%		16.00%		16.00%		5.00%	16.00%	16.00%
Personal Lines: \| Forecast
Effects of Reinsurance [Line Items]
Quota share treaty percent ceded					30.00%		5.00%									30.00%