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Note 11 - Term Loan and Line of Credit (Details Textual) - USD ($)		1 Months Ended	12 Months Ended
	Jan. 26, 2024	Feb. 28, 2022	Oct. 31, 2023	Oct. 31, 2022	Jul. 31, 2024	Apr. 30, 2024	Mar. 01, 2024	Sep. 22, 2023	Sep. 21, 2023
Line of credit payments			$ 1,000,000	$ (0)
Term Loan [Member]
Debt Instrument, Interest Rate, Stated Percentage		3.76%
Long-Term Debt, Gross			13,162,000
Revolving Credit Facility [Member]
Debt Instrument, Basis Spread on Variable Rate		2.00%
Long-Term Line of Credit			1,000,000
Bank of America, N.A. [Member]
Line of Credit Facility, Maximum Borrowing Capacity		$ 3,000,000
Debt Instrument, Face Amount		$ 17,000,000
Debt Instrument, Covenant, Maximum EBITDA Ratio		3
Debt Instrument, Covenant, Fixed Charge Coverage Ratio		1.25
Debt Instrument, Covenant Required Ebitda		$ 600,000	400,000
Debt Instrument, Covenant, Minimum Liquidity								$ 4,000,000	$ 4,000,000
Debt Instrument, Covenant, Minimum Liquidity, Percentage Forecasted								80.00%	80.00%
Long-Term Line of Credit			$ 1,000,000
Bank of America, N.A. [Member] | Subsequent Event [Member]
Line of Credit Facility, Maximum Borrowing Capacity	$ 500,000
Debt Instrument, Covenant, Minimum Liquidity	2,000,000
Line of credit payments	500,000
Long-Term Line of Credit	$ 500,000
Bank of America, N.A. [Member] | Forecast [Member]
Debt Instrument, Covenant Required Ebitda					$ 1,000,000	$ 1,000,000
Debt Instrument, Additional Fee Percentage							1.00%
Debt Instrument, Additional Payment Amount							$ 1,000,000

X

- Definition

Represents the percentage of outstanding principle used to calculate an additional fee on a debt instrument.

+ References

No definition available.

+ Details

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Balance Type:	na
Period Type:	instant

X

- Definition

Represents the value of an additional payment on a debt instrument.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
Data Type:	xbrli:monetaryItemType
Balance Type:	na
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

Represents covenant for EBITDA requirement.

+ References

No definition available.

+ Details

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Namespace Prefix:	rfil_
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Balance Type:	na
Period Type:	duration

X

- Definition

Amount of minimum liquidity required under covenant of the debt instrument.

+ References

No definition available.

+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Percentage of forecasted minimum liquidity for covenant under the debt instrument.

+ References

No definition available.

+ Details

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Balance Type:	na
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X

- Definition

Represent the required EBITDA by a covenant.

+ References

No definition available.

+ Details

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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.

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X

- Definition

Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

+ References

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Period Type:	instant

X

- Definition

Face (par) amount of debt instrument at time of issuance.

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Namespace Prefix:	us-gaap_
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Balance Type:	credit
Period Type:	instant

X

- Definition

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

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X

- Definition

The carrying value as of the balance sheet date of the current and noncurrent portions of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement.

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+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	credit
Period Type:	instant

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

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X

- Definition

Amount of cash outflow for payment of an obligation from a lender, including but not limited to, letter of credit, standby letter of credit and revolving credit arrangements.

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X

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