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Note 2 - Business Acquisition (Details Textual) - USD ($)		3 Months Ended	6 Months Ended
	Mar. 01, 2022	Jul. 31, 2022	Jul. 31, 2022	Feb. 28, 2022	Feb. 25, 2022
Bank of America, N.A. [Member]
Debt Instrument, Face Amount				$ 17,000,000.0	$ 17,000,000
Microlab/FXR LLC [Member]
Business Acquisition, Percentage of Voting Interests Acquired	100.00%
Business Combination, Consideration Transferred, Before Post-closing Adjustment	$ 24,250,000
Payments for Previous Acquisition	$ 225,000	$ 225,000
Microlab/FXR LLC [Member] | Selling, General and Administrative Expenses [Member]
Business Combination, Acquisition Related Costs			$ 1,300,000
Microlab/FXR LLC [Member] | Minimum [Member]
Finite-Lived Intangible Asset, Useful Life (Year)	1 year
Microlab/FXR LLC [Member] | Maximum [Member]
Finite-Lived Intangible Asset, Useful Life (Year)	10 years

X

- Definition

Amount of consideration transferred, before post-closing adjustment, consisting of acquisition-date fair value of assets transferred by the acquirer, liabilities incurred by the acquirer, and equity interest issued by the acquirer.

+ References

No definition available.

+ Details

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

X

- Definition

Percentage of voting equity interests acquired at the acquisition date in the business combination.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 805
-SubTopic 10
-Section 50
-Paragraph 2
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+ Details

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

X

- Definition

This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities.

+ References

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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

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

+ References

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-Publisher FASB
-Name Accounting Standards Codification
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-SubTopic 20
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+ Details

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Balance Type:	credit
Period Type:	instant

X

- Definition

Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Cash outflow representing an adjustment to the purchase price of a previous acquisition.

+ References

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 13
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3213-108585

+ Details

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Period Type:	duration

X

- Details

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X

- Details

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Period Type:

X

- Details

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Balance Type:
Period Type:

X

- Details

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X

- Details

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