Share-based Payments - Performance Stock Units (Details) - Performance Stock Units [Member] - USD ($)	9 Months Ended
Dec. 31, 2022	Dec. 31, 2021
Performance Stock Units ("PSUs") [Abstract]
Vesting period	3 years
Monte Carlo valuation model assumptions used in determining the fair value of the TSR awards [Abstract]
Risk free interest rate	3.35%	0.47%
Expected life in years	3 years	3 years
Expected volatility of MPA common stock	51.30%	53.70%
Expected average volatility of peer companies	62.70%	59.30%
Average correlation coefficient of peer companies	27.50%	26.70%
Expected dividend yield	0.00%	0.00%
Grant date fair value (in dollars per share)	$ 16.02	$ 26.89
Number of Shares [Roll Forward]
Non-vested at beginning of period (in shares)	84,593
Granted (in shares)	126,028	84,593
Vested (in shares)	0
Forfeited (in shares)	(15,482)
Non-vested at end of period (in shares)	195,139
Weighted Average Grant Date Fair Value [Roll Forward]
Non-vested at beginning of period (in dollars per share)	$ 23.19
Granted (in dollars per share)	14
Vested (in dollars per share)	0
Forfeited (in dollars per share)	20.01
Non-vested at end of period (in dollars per share)	$ 17.51
Total unrecognized compensation expense	$ 2,231,000
Weighted average remaining vesting period over which compensation expense is expected to be recognized	2 years 1 month 6 days
Minimum [Member]
Performance Stock Units ("PSUs") [Abstract]
Awards vesting target percentage	0.00%
Maximum [Member]
Performance Stock Units ("PSUs") [Abstract]
Awards vesting target percentage	150.00%

Target percentage of vesting of award under share-based payment arrangement.

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Rate of Average correlation coefficient of peer companies for awards under share-based payment arrangement.

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Amount of cost to be recognized for nonvested award under share-based payment arrangement. Excludes share and unit options.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (i)
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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

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Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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- Definition

The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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The risk-free interest rate assumption that is used in valuing an option on its own shares.

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Rate of weighted-average expected volatility for award under share-based payment arrangement.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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