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Note 12 - Term Loan and Line of Credit (Details Textual) - USD ($)		4 Months Ended
	Mar. 15, 2024	Mar. 15, 2024	Apr. 30, 2025	Aug. 12, 2024	Jul. 13, 2024	Jun. 14, 2024
EBC Revolving Loan Facility [Member]
Line of Credit Facility, Maximum Borrowing Capacity	$ 15,000,000	$ 15,000,000
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage	0.50%
EBC Revolving Loan Facility [Member] | Secured Overnight Financing Rate (SOFR) [Member]
Debt Instrument, Basis Spread on Variable Rate	0.11448%
EBC Revolving Loan Facility [Member] | Adjusted Term SOFR [Member]
Debt Instrument, Basis Spread on Variable Rate	5.00%
EBC Additional Line [Member]
Line of Credit Facility, Maximum Borrowing Capacity	$ 1,000,000	$ 1,000,000		$ 333,333	$ 666,667	$ 1,000,000
EBC Additional Line [Member] | Adjusted Term SOFR [Member]
Debt Instrument, Basis Spread on Variable Rate		6.50%
Floor Rate, Adjusted Interest Rate	2.00%	2.00%
Swing Line Loan [Member]
Line of Credit Facility, Maximum Borrowing Capacity	$ 3,000,000	$ 3,000,000
EBC Credit Agreement [Member]
Debt Instrument, Covenant, Fixed Charge Coverage Ratio	1.1
Debt Instrument Covenant, Capital Expenditures	$ 2,500,000
Short-Term Debt			$ 7,994,000
EBC Credit Agreement [Member] | Other Assets [Member]
Debt Issuance Costs, Line of Credit Arrangements, Gross			$ 325,000
EBC Credit Agreement [Member] | Minimum [Member]
Debt Instrument Covenant, Excess Availability Amount	$ 1,000,000	$ 1,000,000
Debt Instrument Covenant, Adjusted Borrowing Base Percent	10.00%	10.00%

X

- Definition

Represents the percent of the adjusted borrowing base required by the debt instrument covenant.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

The total amount of capital expenditures that cannot be exceeded under the covenant.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The required minimum excess availability amount.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Represents covenant for fixed charge ratio.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The floor rate for the adjustment of interest rates.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	dtr-types:percentItemType
Balance Type:	na
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X

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount, before accumulated amortization, of debt issuance costs related to line of credit arrangements. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 835
-SubTopic 30
-Name Accounting Standards Codification
-Section S45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479359/835-30-S45-1

+ Details

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Namespace Prefix:	us-gaap_
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X

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ 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(22)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 2: 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(19)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

The fee, expressed as a percentage of the line of credit facility, for available but unused credit capacity under the credit facility.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	na
Period Type:	duration

X

- Definition

Reflects the total carrying amount as of the balance sheet date of debt having initial terms less than one year or the normal operating cycle, if longer.

+ 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(19)(a))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(13))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1

Reference 3: http://www.xbrl.org/2003/role/exampleRef
-Topic 852
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 10
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481372/852-10-55-10

Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 944
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(16)(a)(1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478777/944-210-S99-1

+ Details

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X

- Details

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- Details

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- Details

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- Details

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X

- Details

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- Details

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- Details

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- Details

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