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FINANCIAL INSTRUMENTS WITH OFF-BALANCE SHEET RISK (Schedule of Information Regarding Derivatives) (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2021 USD ($)
Customer Interest Rate Swaps [Member] | Classified in Other Assets [Member]
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Notional Amount	$ 15,300
Average Maturiy (Years)	5 years 9 months 18 days
Weighted Average Fixed Rate	3.50%
Weighted Average Variable Rate	1 Mo. LIBOR + 2.50
Fair Value	$ 186
3rd Party Interest Rate Swaps [Member] | Classified in Other Liabilities [Member]
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Notional Amount	$ 15,300
Average Maturiy (Years)	5 years 9 months 18 days
Weighted Average Fixed Rate	3.50%
Weighted Average Variable Rate	1 Mo. LIBOR + 2.50
Fair Value	$ 186

X

- Definition

Weighted Average Variable Rate.

+ References

No definition available.

+ Details

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Namespace Prefix:	mgyr_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Average fixed interest rate related to the group of interest rate derivatives.

+ References

No definition available.

+ Details

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

X

- Definition

Average remaining period until maturity of the derivative contract, 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

Fair value of the assets less the liabilities of a derivative or group of derivatives.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 10
-URI http://asc.fasb.org/extlink&oid=123594938&loc=d3e13433-108611

+ Details

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

X

- Definition

Nominal or face amount used to calculate payment on derivative.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 1B
-URI http://asc.fasb.org/extlink&oid=125515794&loc=SL5580258-113959

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 1A
-Subparagraph (d)
-URI http://asc.fasb.org/extlink&oid=125515794&loc=SL5579245-113959

+ Details

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

X

- 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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Balance Type:	na
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X

- Details

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Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

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- Details

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- Details

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