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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