Related Party Transactions, GAMI (Details) - GAMI [Member] - USD ($)	3 Months Ended
Mar. 31, 2023	Mar. 31, 2022
Related Party Transactions [Abstract]
Period for monthly fixed lease payment	12 months
Payment made under rent agreement	$ 14,053	$ 14,654

The period for monthly fixed lease payment made by company as per sublease agreement in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Examples include, but not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment.

No definition available.

Name:	mghl_ContractualPeriodForMonthlyFixedLeasePayment
Namespace Prefix:	mghl_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration