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REGULATORY CAPITAL (Details)	12 Months Ended
	Sep. 30, 2024
Regulatory Capital [Line Items]
Capital conservation percentage	2.50%

X

- Definition

Percentage of capital conservation.

+ References

No definition available.

+ Details

Name:	mgyr_CapitalConservationPercentage
Namespace Prefix:	mgyr_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

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

Name:	us-gaap_RegulatoryAssetLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration