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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Narrative) (Details) $ in Thousands	12 Months Ended
	Sep. 30, 2017 USD ($)
Accounting Policies [Abstract]
Commercial relationships	$ 500,000
Criticized relationships	$ 250,000

X

- Definition

The threshold for commerical loan relationships for which external consultants perform reviews for potential loss assessment.

+ References

No definition available.

+ Details

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

X

- Definition

The threshold for criticized loan relationships for which external consultants perform reviews for potential loss assessment.

+ References

No definition available.

+ Details

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

X

- References

No definition available.

+ Details

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