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SERVICING POLICY (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022
Servicing Policy [Abstract] |  |
Loans sold with servicing retained | $ 6,500 | $ 10,500
Loans sold, servicing released | 0 | 0
Value of loans sold still being serviced | 1,900 | 2,100
Loans of sold amount | $ 35,500 | $ 32,000

X
- Definition Value of loans sold during the period where servicing rights were released. + References No definition available. + Details
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Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition The sum of the proceeds from the sale of loans. + References No definition available. + Details
Name: | mgyr_ProceedsFromSalesOfLoans
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | mgyr_ServicingPolicyAbstract
Namespace Prefix: | mgyr_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition The value of loans that have been sold by the company, but which are still being serviced. + References No definition available. + Details
Name: | mgyr_ValueOfLoansSoldStillBeingServiced
Namespace Prefix: | mgyr_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Amount after allowance and deduction of deferred interest and fees, unamortized costs and premiums and discounts from face amounts, of loans and leases held in portfolio, including but not limited to, commercial and consumer loans. Excludes loans and leases covered under loss sharing agreements and loans held for sale. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 310 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147481990/310-10-45-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.7) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479853/942-210-S99-1 + Details
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Period Type: | instant