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FAIR VALUE DISCLOSURES (Narrative) (Details) $ in Thousands	12 Months Ended
	Sep. 30, 2018 USD ($)	Sep. 30, 2017 USD ($)
Total Unpaid Contractual Principal Balance	$ 5,952	$ 7,789
Impaired Loans [Member]
Number of impaired loans	2
Total Unpaid Contractual Principal Balance	$ 351
Cumulative write-down of impaired loans	90
Other Real Estate Owned [Member]
Cumulative write-down of impaired loans	$ 418

X

- Definition

Amount of cumulative charge-offs of impaired loans.

+ References

No definition available.

+ Details

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Namespace Prefix:	mgyr_
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Balance Type:	debit
Period Type:	duration

X

- Definition

Number of loans impaired.

+ References

No definition available.

+ Details

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

X

- Definition

Amount of unpaid principal balance of impaired financing receivables with related allowance for credit losses and without related allowance for credit losses.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 15
-Subparagraph (a)(4)
-URI http://asc.fasb.org/extlink&oid=84173941&loc=d3e5212-111524

+ Details

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Period Type:	instant

X

- Details

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Namespace Prefix:
Data Type:	na
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X

- Details

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