Related Party Transactions - Other Related Parties (Details) - USD ($)	3 Months Ended
Mar. 31, 2023	Mar. 31, 2022
One of the Medalist Fund Manager, Inc. owners \| Shockoe Properties, LLC
Related Party Transaction [Line Items]
Ownership percentage by noncontrolling owners	6.32%
Property management fees \| Shockoe Properties, LLC
Related Party Transaction [Line Items]
Property management fees	$ 70,519	$ 62,072
Percentage of rent	3.00%
Threshold limit of percentage of asset management fee	up to 3% of the monthly gross revenues
Consulting Agreement \| Gunston Consulting, LLC
Related Party Transaction [Line Items]
Annual salary	$ 150,000
Consulting fees paid	$ 44,872	$ 0

The amount of annual salary included in the costs to be reimbursed as set forth in the Consulting Agreement.

No definition available.

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Namespace Prefix:	mdrr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

It represents percentage of annual rent.

+ References

No definition available.

+ Details

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

- Definition

The amount of expense incurred for payment of fees to manage real estate properties.

+ References

No definition available.

+ Details

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Namespace Prefix:	mdrr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

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

+ References

No definition available.

+ Details

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

- Definition

A fee charged for services from professionals such as doctors, lawyers and accountants. The term is often expanded to include other professions, for example, pharmacists charging to maintain a medicinal profile of a client or customer.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 946
-SubTopic 220
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6-07.2(a),(b),(c),(d))
-URI https://asc.fasb.org/extlink&oid=120401555&loc=SL114874292-224272

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 946
-SubTopic 220
-Section 45
-Paragraph 3
-Subparagraph (k)
-URI https://asc.fasb.org/extlink&oid=124433917&loc=SL114874205-224268

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

A description of what the property management fee percentage is taken against to determine the fee charged to clients.

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- 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

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Data Type:	xbrli:stringItemType
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- Details

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- Details

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- Details

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- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=mdrr_ShockoePropertiesLlcMember
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- Details

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- Details

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