Represents acquisition of minority interest percentage.

No definition available.

Name:	mdrr_AcquisitionOfMinorityInterestOwnershipPercentage
Namespace Prefix:	mdrr_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the area of the building.

+ References

No definition available.

+ Details

Name:	mdrr_AreaOfBuilding
Namespace Prefix:	mdrr_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

- Definition

The number of undeveloped real estate properties owned as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	mdrr_NumberOfUndevelopedRealEstateProperties
Namespace Prefix:	mdrr_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	mdrr_OrganizationAndBasisOfPresentationAndConsolidationLineItems
Namespace Prefix:	mdrr_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Area of land held.

+ References

No definition available.

+ Details

Name:	us-gaap_AreaOfLand
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

- Definition

The equity interest of noncontrolling shareholders, partners or other equity holders in consolidated entity.

+ References

No definition available.

+ Details

Name:	us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

The parent entity's interest in net assets of the subsidiary, expressed as a percentage.

+ References

No definition available.

+ Details

Name:	us-gaap_MinorityInterestOwnershipPercentageByParent
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

The number of real estate properties owned as of the balance sheet date.

+ References

No definition available.

+ Details

Name:	us-gaap_NumberOfRealEstateProperties
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	srt_OwnershipAxis=mdrr_HanoverSquarePropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_OwnershipAxis=mdrr_ParkwayPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=mdrr_RetailCenterPropertiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=mdrr_PropertyrevenuesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=mdrr_SingleTenantNetLeaseMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=mdrr_UndevelopedRealEstatePropertiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_GreenbrierBusinessCenterPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_LancerCenterShoppingCenterMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_FranklinSquarePropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_HanoverSquarePropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_HanoverSquareOutparcelMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_CitibankPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_EastCoastWingsPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_TMobilePropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_LancerOutparcelMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_SalisburyOutparcelMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_AshleyPlazaPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_BrookfieldCenterMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_ParkwayPropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AssetAcquisitionAxis=mdrr_SalisburyMarketplacePropertyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Organization and Basis of Presentation and Consolidations (Details)	Mar. 26, 2024	Mar. 25, 2024	Sep. 30, 2024 ft² a property	Mar. 28, 2024 ft² a	Mar. 13, 2024 ft² a	Sep. 30, 2023
Organization And Basis Of Presentation And Consolidation [Line Items]
Number of properties owned \| property			10
Area of building				4,350
Hanover Square Property
Organization And Basis Of Presentation And Consolidation [Line Items]
Percentage by parent			84.00%
Ownership percentage by noncontrolling owners			16.00%			16.00%
Parkway Property
Organization And Basis Of Presentation And Consolidation [Line Items]
Percentage by parent			82.00%
Ownership percentage by noncontrolling owners			18.00%			18.00%
Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Number of properties owned \| property			4
Flex center property
Organization And Basis Of Presentation And Consolidation [Line Items]
Number of properties owned \| property			3
Single tenant net lease property
Organization And Basis Of Presentation And Consolidation [Line Items]
Number of properties owned \| property			3
Undeveloped properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Number of undeveloped properties owned \| property			3
Greenbrier Business Center Property \| Flex center property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			89,280
Lancer Center Shopping Center \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			181,590
Franklin Square Property \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			134,239
Hanover Square Property \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building					73,440
Hanover Square Property \| Retail center properties \| Hanover Square Property
Organization And Basis Of Presentation And Consolidation [Line Items]
Percentage by parent					84.00%
Ownership percentage by noncontrolling owners					16.00%
Hanover Square Outparcel
Organization And Basis Of Presentation And Consolidation [Line Items]
Ownership percentage		16.00%
Hanover Square Outparcel \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of land \| a					0.86
Ownership percentage	16.00%	16.00%
Hanover Square Outparcel \| Undeveloped properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of land \| a			0.86
Citibank Property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of land \| a				0.45
Citibank Property \| Single tenant net lease property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			4,350
Area of land \| a			0.45
East Coast Wings Property \| Single tenant net lease property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			5,000
Area of land \| a			0.89
T-Mobile Property \| Single tenant net lease property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			3,000
Area of land \| a			0.78
Lancer Outparcel \| Undeveloped properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building \| a			1.80
Salisbury Outparcel \| Undeveloped properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building \| a			1.20
Ashley Plaza Property \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			156,012
Brookfield Center Property \| Flex center property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			64,880
Parkway Property \| Flex center property
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			64,109
Parkway Property \| Flex center property \| Parkway Property
Organization And Basis Of Presentation And Consolidation [Line Items]
Percentage by parent			82.00%
Ownership percentage by noncontrolling owners			18.00%
Salisbury Marketplace Property \| Retail center properties
Organization And Basis Of Presentation And Consolidation [Line Items]
Area of building			79,732