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REGULATORY CAPITAL (Details)	12 Months Ended
	Sep. 30, 2025
Regulatory Capital [Abstract]
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

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- References

No definition available.

+ Details

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