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Subsequent Events (Details) - USD ($)
12 Months Ended
Jun. 02, 2022
May 19, 2022
May 05, 2022
Apr. 21, 2022
Jan. 25, 2022
Jan. 04, 2022
Sep. 08, 2021
Jul. 30, 2021
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Subsequent Event                      
Repayment of long-term debt borrowings                 $ 230,317,537 $ 99,418,395 $ 63,968,414
Dividends declared (in dollars per share)           $ 1.00   $ 1.00      
Dividends declared           $ 40,100,000   $ 40,400,000      
Dividends paid in cash         $ 39,900,000   $ 40,200,000   80,082,210    
Dividends payable         $ 200,000   $ 200,000   494,180    
Proceeds from sale of vessel                 $ 90,460,363    
Commercial Financing                      
Subsequent Event                      
Loan term period                 3 years    
Subsequent events                      
Subsequent Event                      
Dividends declared (in dollars per share)     $ 2.50                
Dividends declared     $ 100,300,000                
Dividends paid in cash $ 99,700,000                    
Dividends payable $ 600,000                    
Subsequent events | Commercial Financing                      
Subsequent Event                      
Repayment of long-term debt borrowings       $ 11,100,000              
Subsequent events | KEXIM Direct Financing                      
Subsequent Event                      
Repayment of long-term debt borrowings       11,100,000              
Subsequent events | K-sure Insured                      
Subsequent Event                      
Repayment of long-term debt borrowings       2,800,000              
Subsequent events | Cougar Japanese Financing                      
Subsequent Event                      
Loan term period   10 years                  
Estimated financing cost to be incurred   $ 300,000                  
Percentage of broker commission fee payable   1.25%                  
Brokerage Commission Fee on delivery Purchase Option (as a percent)   0.50%                  
Periodic principal payment amount   $ 900,000                  
Principal payment frequency   quarterly                  
Balloon payment amount   $ 14,000,000.0                  
Subsequent events | Cougar Japanese Financing | three-month SOFR                      
Subsequent Event                      
Margin (as a percent)   2.45%                  
Subsequent events | 2015 AR Facility                      
Subsequent Event                      
Repayment of long-term debt borrowings       $ 25,000,000.0              
Subsequent events | Cougar LPG Transport LLC                      
Subsequent Event                      
Deposit retained by buyer used for purchase payment   $ 20,000,000.0                  
Value of vessel transferred   $ 70,000,000.0                  
Term of Charter Agreement   10 years                  
Period until purchase option exercisable   3 years                  
Proceeds from sale of vessel   $ 50,000,000.0                  
Deposit retained by buyer   20,000,000.0                  
Subsequent events | Cougar LPG Transport LLC | 2015 AR Facility                      
Subsequent Event                      
Repayment of debt   $ 20,000,000.0