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DEPOSITS (Schedule of Deposits by Type of Account) (Details) (USD $) In Thousands, unless otherwise specified | Mar. 31, 2015 | Sep. 30, 2014
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DEPOSITS [Abstract] |  |
Demand accounts | $ 90,606us-gaap_DemandDepositAccounts | $ 84,306us-gaap_DemandDepositAccounts
Savings accounts | 82,742us-gaap_DepositsSavingsDeposits | 65,123us-gaap_DepositsSavingsDeposits
NOW accounts | 49,637us-gaap_DepositsNegotiableOrderOfWithdrawalNOW | 47,029us-gaap_DepositsNegotiableOrderOfWithdrawalNOW
Money market accounts | 107,277us-gaap_DepositsMoneyMarketDeposits | 102,118us-gaap_DepositsMoneyMarketDeposits
Certificates of deposit | 111,565mgyr_CertificatesOfDeposit | 126,661mgyr_CertificatesOfDeposit
Retirement accounts | 21,081mgyr_RetirementDeposits | 23,214mgyr_RetirementDeposits
Deposits, Total | $ 462,908us-gaap_Deposits | $ 448,451us-gaap_Deposits

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- Definition Amount of deposits that cannot be withdrawn before a set date without penalty or for which notice of withdrawal is required. The deposits include certificates of deposits and open accounts. + References No definition available. + Details
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Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount of deposits that cannot be withdrawn before a set date without penalty or for which notice of withdrawal is required. The deposits include individual retirement accounts. + References No definition available. + Details
Name: | mgyr_RetirementDeposits
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition The amount of money in accounts that may bear interest and that the depositor is entitled to withdraw at any time without prior notice. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.12) -URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878 + Details
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Period Type: | instant

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- Definition The aggregate of all deposit liabilities held by the entity, including foreign and domestic, interest and noninterest bearing; may include demand deposits, saving deposits, Negotiable Order of Withdrawal (NOW) and time deposits among others. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.12) -URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 03 -Paragraph 12 -Article 9 + Details
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Period Type: | instant

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- Details
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Period Type: | duration

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- Definition Amount of deposits in accounts that offer many of the same services as checking accounts although transactions may be somewhat more limited, share some of the characteristics of a money market fund and are insured by the Federal government, also known as money market accounts. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.12) -URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878 + Details
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- Definition Amount of deposits in interest-bearing transaction accounts at banks or savings and loans, that are restricted in regard to ownership and can usually only be held by individuals, nonprofit entities and governments. Negotiable order of withdrawal accounts differ from money market demand accounts as they typically have higher reserve requirements and no limit on the number of checks that can be written. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.12) -URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878 + Details
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- Definition Amount of interest bearing deposits with no stated maturity, which may include passbook and statement savings accounts and money-market deposit accounts (MMDAs). + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.12) -URI http://asc.fasb.org/extlink&oid=6876686&loc=d3e534808-122878 + Details
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