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DEPOSITS (Narrative) (Details) - USD ($) $ in Thousands | Sep. 30, 2022 | Sep. 30, 2021
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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