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FAIR VALUE DISCLOSURES (Narrative) (Details) - USD ($) $ in Thousands | Mar. 31, 2022 | Sep. 30, 2021
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Fair Value Disclosures [Abstract] |  |
Mortgage Servicing Rights | $ 1,000 | $ 4,000

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- Definition Mortgage Servicing Rights. + References No definition available. + Details
Name: | mgyr_MortgageServicingRightsMSRs
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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