Equity - Exchange of Common Shares for OP Units (Details) - President and Chief Executive Officer	Nov. 14, 2025 shares	Aug. 08, 2025 shares
Equity [Line Items]
Exchange of common shares for operating partnership units (in shares)	2,405	240,004
Conversion ratio for OP units		1
Number of OP units exchanged for shares (in shares)	2,405	240,004

The number of operating partnership units issued for exchange of equity interest of noncontrolling shareholders, partners or other equity holders in consolidated entity.

No definition available.

Name:	mdrr_MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfOperatingPartnershipUnitsIssued
Namespace Prefix:	mdrr_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration