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Note 21 - Fair Value of Financial Instruments - Fair Values for Level 3 Measurements (Details) - Fair Value, Inputs, Level 3 [Member] - Fair Value, Nonrecurring [Member] $ in Thousands	Sep. 30, 2023 USD ($)
Customer Relationships [Member]
Finite-lived assets, fair value	$ 1,200
Customer Relationships [Member] | Multi-period Excess Earnings [Member] | Measurement Input, Long-Term Revenue Growth Rate [Member]
Finite-lived intangible assets, measurement input	0.03
Customer Relationships [Member] | Multi-period Excess Earnings [Member] | Measurement Input, Attrition Rate [Member]
Finite-lived intangible assets, measurement input	0.05
Customer Relationships [Member] | Multi-period Excess Earnings [Member] | Measurement Input, Discount Rate [Member]
Finite-lived intangible assets, measurement input	0.21
Developed Technology Rights [Member]
Finite-lived assets, fair value	$ 600
Developed Technology Rights [Member] | Relief from Royalty [Member] | Measurement Input, Discount Rate [Member]
Finite-lived intangible assets, measurement input	0.19
Developed Technology Rights [Member] | Relief from Royalty [Member] | Measurement Input, Royalty Rate [Member]
Finite-lived intangible assets, measurement input	0.05
Trade Names [Member]
Finite-lived assets, fair value	$ 170
Trade Names [Member] | Relief from Royalty [Member] | Measurement Input, Discount Rate [Member]
Finite-lived intangible assets, measurement input	0.19
Trade Names [Member] | Relief from Royalty [Member] | Measurement Input, Royalty Rate [Member]
Finite-lived intangible assets, measurement input	0.01

X

- Definition

Value of input used to measure finite -lived intangible assets.

+ References

No definition available.

+ Details

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Namespace Prefix:	kfs_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Fair value portion of assets, excluding financial assets, that lack physical substance, having a limited useful life.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482106/820-10-50-2

+ Details

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- Details

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- Details

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- Details

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- Details

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- Details

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- Details

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