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Partners' Capital - Incentive Distribution Rights and Distributions of Available Cash (Details) - USD ($)
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Limited Partners' Capital Account    
Distribution period 45 days  
MMGP    
Limited Partners' Capital Account    
Incentive distribution $ 0 $ 0
MMGP | Target Level 1    
Limited Partners' Capital Account    
Target cash distribution, percent 2.00%  
MMGP | Target Level 2    
Limited Partners' Capital Account    
Target cash distribution, percent 15.00%  
Target cash distribution (USD per share) $ 0.625  
MMGP | Target Level 3    
Limited Partners' Capital Account    
Target cash distribution, percent 25.00%  
Target cash distribution (USD per share) $ 0.75  
MMGP | Target Level 4    
Limited Partners' Capital Account    
Target cash distribution, percent 50.00%  
Minimum | MMGP | Target Level 1    
Limited Partners' Capital Account    
Target cash distribution (USD per share) $ 0.50  
Minimum | MMGP | Target Level 2    
Limited Partners' Capital Account    
Target cash distribution (USD per share) 0.55  
Minimum | MMGP | Target Level 3    
Limited Partners' Capital Account    
Target cash distribution (USD per share) 0.625  
Minimum | MMGP | Target Level 4    
Limited Partners' Capital Account    
Target cash distribution (USD per share) 0.75  
Maximum | MMGP | Target Level 1    
Limited Partners' Capital Account    
Target cash distribution (USD per share) $ 0.55  
Martin Operating Partnership L.P. | MMGP    
Limited Partners' Capital Account    
General partner interest percentage 2.00%