Amount of pre tax short-term cash incentive compensation incurred during the reporting period.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationBeforeTax
Namespace Prefix:	mpx_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

Number of non-executive employee covered under STCI.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationNumberOfNonExecutiveEmployee
Namespace Prefix:	mpx_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

Number of non-executive employee covered under STCI subject to contractual agreement.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationNumberOfNonExecutiveEmployeeSubjectToContractualAgreement
Namespace Prefix:	mpx_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

Number of non-executive employee covered under STCI subject to discretionary determination.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationNumberOfNonExecutiveEmployeeSubjectToDiscretionaryDetermination
Namespace Prefix:	mpx_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

Percentage of short term cash incentive compensation pre-tax profit incentive.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationPreTaxProfitIncentivePercentage
Namespace Prefix:	mpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

Percentage of pre-tax profit incentive subject to contractual agreement.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationPreTaxProfitIncentivePercentageSubjectToContractualAgreement
Namespace Prefix:	mpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

Percentage of pre-tax profit incentive subject to discretionary determination.

No definition available.

Name:	mpx_ShortTermCashIncentiveCompensationPreTaxProfitIncentivePercentageSubjectToDiscretionaryDetermination
Namespace Prefix:	mpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

No definition available.

Name:	us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

COMMITMENTS AND CONTINGENCIES - Short-term Cash Incentive Compensation (Details) $ in Thousands		3 Months Ended		9 Months Ended		21 Months Ended
	Oct. 01, 2023 employee	Sep. 30, 2023 USD ($) employee	Sep. 30, 2022 USD ($)	Sep. 30, 2023 USD ($) employee	Sep. 30, 2022 USD ($)	Sep. 30, 2023 employee
COMMITMENTS AND CONTINGENCIES
Number of non-executive employee		4		4		4
Pre-tax profit incentive percentage						16.00%
Number of non-executive employee subject to contractual agreement		1		1		1
Pre-tax profit incentive percentage subject to contractual agreement				7.00%
Pre-tax profit incentive percentage subject to discretionary determination	9.00%
Number of non-executive employee, subject to discretionary determination	3
STCI expense \| $		$ 2,365	$ 3,414	$ 9,650	$ 8,699