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SERVICING POLICY (Narrative) (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2022 | Sep. 30, 2021
Transfers and Servicing [Abstract] |  |
Loans sold with servicing retained | $ 10,500 | $ 7,100
Loans sold, servicing released | 0 | 0
Value of loans sold still being serviced | 2,100 | 3,700
SBA Loans being serviced | $ 32,000 | $ 24,200

X
- Definition Value of loans sold during the period where servicing rights were released. + References No definition available. + Details
Name: | mgyr_LoansSoldServicingReleased
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition The sum of the proceeds from the sale of loans. + References No definition available. + Details
Name: | mgyr_ProceedsFromSalesOfLoans
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- References No definition available. + Details
Name: | mgyr_SbaLoansBeingServiced
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition The value of loans that have been sold by the company, but which are still being serviced. + References No definition available. + Details
Name: | mgyr_ValueOfLoansSoldStillBeingServiced
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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