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Property and Casualty Insurance Activity - Schedule of Earned Premiums (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2025 | Sep. 30, 2024
Change in unearned premiums |  |  |  |
Effects of Reinsurance [Line Items] |  |  |  |
Direct | $ (9,778,044) | $ (12,540,101) | $ (5,339,407) | $ (14,353,242)
Assumed | 0 | 0 | 0 | 0
Ceded | 26,054,197 | 25,402,104 | (1,866,198) | 6,818,683
Net | 16,276,153 | 12,862,003 | (7,205,605) | (7,534,559)
Premiums earned |  |  |  |
Effects of Reinsurance [Line Items] |  |  |  |
Direct | 66,031,819 | 54,086,563 | 189,707,861 | 155,093,361
Assumed | 0 | 0 | 0 | 0
Ceded | (18,106,766) | (20,679,369) | (52,044,485) | (62,562,653)
Net | 47,925,053 | 33,407,194 | 137,663,376 | 92,530,708
Premiums written |  |  |  |
Effects of Reinsurance [Line Items] |  |  |  |
Direct | 75,809,863 | 66,626,664 | 195,047,268 | 169,446,603
Assumed | 0 | 0 | 0 | 0
Ceded | (44,160,963) | (46,081,473) | (50,178,287) | (69,381,336)
Net | $ 31,648,900 | $ 20,545,191 | $ 144,868,981 | $ 100,065,267

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- Definition Assumed + References No definition available. + Details
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Namespace Prefix: | king_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Ceded + References No definition available. + Details
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Namespace Prefix: | king_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Direct + References No definition available. + Details
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Namespace Prefix: | king_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Net + References No definition available. + Details
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Namespace Prefix: | king_
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Balance Type: | debit
Period Type: | duration

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- 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
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
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- Details
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Namespace Prefix: |
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Balance Type: |
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- Details
Name: | us-gaap_PropertyPlantAndEquipmentByTypeAxis=king_PremiumsEarnedMember
Namespace Prefix: |
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Balance Type: |
Period Type: |

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- Details
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Period Type: |