Related Party Transactions, GAMI (Details) - GAMI [Member] - USD ($)	3 Months Ended	9 Months Ended
Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Related Party Transaction [Abstract]
Period for monthly fixed lease payment			12 months
Payment made under sublease agreement	$ 19,544	$ 13,740	$ 51,275	$ 42,504

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