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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

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Namespace Prefix:	mgyr_
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Period Type:	duration

X

- Definition

The remaining term of the lease.

+ References

No definition available.

+ Details

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Namespace Prefix:	mgyr_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Total estimated rental expense.

+ References

No definition available.

+ Details

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Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

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Namespace Prefix:
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X

- Details

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Period Type: