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FAIR VALUE DISCLOSURES (Narrative) (Details)	12 Months Ended
	Sep. 30, 2021 USD ($)
Other Real Estate Owned [Member]
Cumulative write-down of impaired loans	$ 337,000

X

- Definition

Amount of cumulative charge-offs of impaired loans.

+ References

No definition available.

+ Details

Name:	mgyr_FinancingReceivablesImpairedLoansWriteDownCumulative
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

Name:	us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis=mgyr_OtherRealEstateOwnedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: