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DEPOSITS (Narrative) (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021
Deposits [Abstract]
Aggregate of deposit accounts with a minimum denomination of $250,000	$ 399,900	$ 378,500
Aggregated of certificate deposits with balance greater than $250,000	14,600	$ 39,400
FDIC insurance limit on bank deposit accounts	$ 250

X

- Definition

The current FDIC insurance limit on bank deposit accounts.

+ References

No definition available.

+ Details

Name:	mgyr_FDICInsurancBankDeposits
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

The aggregate amount of certificate deposits with a balance greater than $100,000 as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	mgyr_LargeCDs
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

The aggregate amount of deposit accounts with a minimum denomination of $100,000 as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	mgyr_LargeDeposits
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	us-gaap_DepositsAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration