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FAIR VALUE DISCLOSURES (Schedule of the Carrying Amount, Fair Value, and Placement in the Fair Value Hierarchy of Financial Instruments) (Details) - USD ($) $ in Thousands	Jun. 30, 2017	Sep. 30, 2016
Financial instruments - assets
Investment securities held to maturity	$ 51,073	$ 52,934
Fair Value, Inputs, Level 1 [Member]
Financial instruments - assets
Investment securities held to maturity
Loans
Financial instruments - liabilities
Certificates of deposit including retirement certificates
Borrowings
Fair Value, Inputs, Level 2 [Member]
Financial instruments - assets
Investment securities held to maturity	50,923	53,849
Loans
Financial instruments - liabilities
Certificates of deposit including retirement certificates	135,474	135,162
Borrowings	31,898	36,473
Fair Value, Inputs, Level 3 [Member]
Financial instruments - assets
Investment securities held to maturity
Loans	467,593	462,868
Financial instruments - liabilities
Certificates of deposit including retirement certificates
Borrowings
Carrying Value [Member]
Financial instruments - assets
Investment securities held to maturity	51,073	52,934
Loans	465,077	455,031
Financial instruments - liabilities
Certificates of deposit including retirement certificates	134,678	133,979
Borrowings	31,905	36,040
Fair Value [Member]
Financial instruments - assets
Investment securities held to maturity	50,923	53,849
Loans	467,593	462,868
Financial instruments - liabilities
Certificates of deposit including retirement certificates	135,474	135,162
Borrowings	$ 31,898	$ 36,473

X

- Definition

Amount of interest-bearing domestic certificate of deposit liabilities.

+ References

No definition available.

+ Details

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Namespace Prefix:	mgyr_
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X

- Definition

Fair value portion of debt instrument payable, including, but not limited to, notes payable and loans payable.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 10
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=77997519&loc=d3e13433-108611

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 12
-URI http://asc.fasb.org/extlink&oid=77997519&loc=d3e13476-108611

+ Details

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X

- References

No definition available.

+ Details

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X

- References

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X

- Definition

Amount before other than temporary impairment (OTTI) accretion, of investments in debt securities classified as held-to-maturity.

+ References

No definition available.

+ Details

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X

- Definition

Fair value portion of loan receivable, including, but not limited to, mortgage loans held for investment, finance receivables held for investment, policy loans on insurance contracts.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-URI http://asc.fasb.org/subtopic&trid=2196772

+ Details

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X

- Details

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- Details

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- Details

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