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LOANS RECEIVABLE, NET (Schedule of Troubled Debt Restructuring) (Details) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2022 USD ($) Integer | Sep. 30, 2021 USD ($) Integer
Financing Receivable, Troubled Debt Restructuring [Line Items] |  |
Number of Loans | Integer |  | 2
Investment Before TDR Modification |  | $ 330
Investment After TDR Modification |  | $ 340

X
- Definition Amount of investment in financing receivables (after modification) modified by troubled debt restructurings. + References No definition available. + Details
Name: | mgyr_InvestmentAfterTdrModification
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Amount of investment in financing receivables (before modification) modified by troubled debt restructurings. + References No definition available. + Details
Name: | mgyr_InvestmentBeforeTdrModification
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Number of financing receivables that have been modified by troubled debt restructurings. + References No definition available. + Details
Name: | mgyr_NumberOfLoans
Namespace Prefix: | mgyr_
Data Type: | xbrli:integerItemType
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_FinancingReceivableModificationsLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration