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Share-based Payments - Performance Stock Units (Details) - Performance Stock Units [Member] - USD ($)
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
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]    
Outstanding at beginning of period (in shares) 84,593  
Granted (in shares) 126,028 84,593
Vested (in shares) 0  
Forfeited/Cancelled (in shares) (17,925)  
Outstanding at end of period (in shares) 192,696 84,593
Weighted Average Grant Date Fair Value [Roll Forward]    
Outstanding at beginning of period (in dollars per share) $ 23.19  
Granted (in dollars per share) 14  
Vested (in dollars per share) 0  
Forfeited/Cancelled (in dollars per share) 19.95  
Outstanding at end of period (in dollars per share) $ 17.48 $ 23.19
Total unrecognized compensation expense $ 1,926,000  
Weighted average remaining vesting period over which compensation expense is expected to be recognized 1 year 10 months 24 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%