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Consolidated Statement of Changes in Stockholders' Equity (USD $)
In Thousands, except Share data
Common Stock
Additional Paid-In Capital
Treasury Stock
Unearned ESOP Shares
Retained Earnings
Accumulated Other Comprehensive Loss
Total
Balance, at Sep. 30, 2013 $ 59us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 26,322us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ (1,256)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ (1,002)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
$ 21,835us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (638)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
$ 45,320us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
Balance, shares at Sep. 30, 2013 5,811,394us-gaap_SharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
           
Net income             193us-gaap_ProfitLoss
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   193us-gaap_ProfitLoss
Other comprehensive income (loss)                14us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
14us-gaap_OtherComprehensiveIncomeLossNetOfTax
ESOP shares allocated    (15)us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   63us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
      48us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
Stock-based compensation expense    9us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
            9us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
Balance, at Mar. 31, 2014 59us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
26,316us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
(1,256)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
(939)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
22,028us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(624)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
45,584us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
Balance, shares at Mar. 31, 2014 5,811,394us-gaap_SharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
           
Balance, at Sep. 30, 2014 59us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
26,295us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
(1,211)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
(877)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
22,382us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(716)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
45,932us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
Balance, shares at Sep. 30, 2014 5,815,444us-gaap_SharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
           
Net income             329us-gaap_ProfitLoss
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   329us-gaap_ProfitLoss
Other comprehensive income (loss)                86us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
86us-gaap_OtherComprehensiveIncomeLossNetOfTax
ESOP shares allocated    (9)us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   62us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
      53us-gaap_StockIssuedDuringPeriodValueEmployeeStockOwnershipPlan
Stock-based compensation expense    9us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
            9us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
Balance, at Mar. 31, 2015 $ 59us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 26,295us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ (1,211)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ (815)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= mgyr_UnearnedEsopSharesMember
$ 22,711us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (630)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
$ 46,409us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest
Balance, shares at Mar. 31, 2015 5,815,444us-gaap_SharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember