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v3.23.3

COMMITMENTS (Details) - USD ($) | 12 Months Ended
--- | ---
Sep. 30, 2023 | Sep. 30, 2022
COMMITMENTS (Details) [Line Items] |  |
Rental expense | $ 809,000 | $ 807,000
Minimum [Member] |  |
COMMITMENTS (Details) [Line Items] |  |
Remaining lease term | 10 years |
Maximum [Member] |  |
COMMITMENTS (Details) [Line Items] |  |
Remaining lease term | 10 years |

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

X
- Definition The remaining term of the lease. + References No definition available. + Details
Name: | mgyr_RemainingLeaseTerm
Namespace Prefix: | mgyr_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Total estimated rental expense. + References No definition available. + Details
Name: | mgyr_RentalExpense
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |