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FINANCIAL INSTRUMENTS WITH OFF-BALANCE SHEET RISK (Schedule of Financial Instruments Whose Contract Amounts Representing Credit Risk) (Details) (USD $) In Thousands, unless otherwise specified	Mar. 31, 2015	Sep. 30, 2014
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Financial instruments - contract amounts	$ 58,369mgyr_FinancialInstrumentsContractAmounts	$ 54,928mgyr_FinancialInstrumentsContractAmounts
Letters of credit
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Financial instruments - contract amounts	1,120mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_StandbyLettersOfCreditMember	884mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_StandbyLettersOfCreditMember
Unused lines of credit
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Financial instruments - contract amounts	41,991mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_UnusedLinesOfCreditMember	43,644mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_UnusedLinesOfCreditMember
Fixed rate loan commitments
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Financial instruments - contract amounts	3,381mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_LoanOriginationCommitmentsMember	1,900mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = us-gaap_LoanOriginationCommitmentsMember
Variable rate loan commitments
Fair Value, Off-balance Sheet Risks, Disclosure Information [Line Items]
Financial instruments - contract amounts	$ 11,877mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = mgyr_LoanOriginationCommitments1Member	$ 8,500mgyr_FinancialInstrumentsContractAmounts / us-gaap_FinancialInstrumentAxis = mgyr_LoanOriginationCommitments1Member

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- Definition

The contractual amount of off-balance sheet lending-related financial instruments (e.g., commitments and guarantees), which represents the maximum possible credit risk should the counterparty draw upon the commitment or the entity be required to fulfill its obligation under the guarantee, and the counterparty subsequently fail to perform according to the terms of the contract.

+ References

No definition available.

+ Details

Name:	mgyr_FinancialInstrumentsContractAmounts
Namespace Prefix:	mgyr_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- Details

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

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- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FinancialInstrumentAxis=us-gaap_LoanOriginationCommitmentsMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

Name:	us-gaap_FinancialInstrumentAxis=us-gaap_StandbyLettersOfCreditMember
Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FinancialInstrumentAxis=us-gaap_UnusedLinesOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: