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v3.25.3

REGULATORY CAPITAL (Details) | 12 Months Ended
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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

X
- References No definition available. + Details
Name: | us-gaap_RegulatoryAssetAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration