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SERVICING POLICY (Narrative) (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Sep. 30, 2021 | Sep. 30, 2020
Transfers and Servicing [Abstract] |  |
Loans sold with servicing retained | $ 7.1 | $ 3.9
Loans sold, servicing released | 0.0 | 0.0
Value of loans sold still being serviced | 3.7 | 5.2
SBA Loans being serviced | $ 24.2 | $ 22.2

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
- Definition The value of SBA loans being serviced by the company as of the balance sheet date. + 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