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Long-term Debt (Details) - USD ($)				3 Months Ended
Long-term Debt (Details) - USD ($)	Jul. 14, 2020	Apr. 29, 2020	Apr. 21, 2020	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2020	Mar. 31, 2020	Mar. 31, 2015
Debt obligations
Total debt obligations						$ 659,650,068	$ 646,128,204
Less: deferred financing fees				$ 11,152,985		12,136,080	11,152,985
Total						647,513,988	634,975,219
Presented as follows:
Current portion of long-term debt						53,267,783	53,056,125
Long-term debt-net of current portion and deferred financing fees						594,246,205	581,919,094
Total						647,513,988	634,975,219
Deferred financing fees
Deferred finance fees, beginning				11,152,985
Additions				3,377,605
Amortization				(2,394,510)	$ (744,271)
Deferred finance fees, end				$ 12,136,080
2015 Facility
Long-Term Debt
Original loan amount								$ 758,000,000
Debt obligations
Total debt obligations						411,946,494	446,586,121
Commercial Financing
Debt obligations
Total debt obligations						155,655,698	163,385,998
KEXIM Direct Financing
Debt obligations
Total debt obligations						100,104,372	110,716,127
KEXIM Guaranteed
Debt obligations
Total debt obligations						104,512,865	115,385,072
K-sure Insured
Debt obligations
Total debt obligations						51,673,559	57,098,924
Japanese Financings
Debt obligations
Total debt obligations						247,703,574	199,542,083
Corsair Japanese Financing
Debt obligations
Total debt obligations						43,333,333	44,145,833
Concorde Japanese Financing
Debt obligations
Total debt obligations						47,923,077	48,730,769
Corvette Japanese Financing
Debt obligations
Total debt obligations						48,461,538	49,269,231
CJNP Japanese Financing
Debt obligations
Total debt obligations						18,696,875	19,058,750
CMNL Japanese Financing
Debt obligations
Total debt obligations						17,734,078	18,076,488
CNML Japanese Financing
Debt obligations
Total debt obligations						19,909,673	$ 20,261,012
Cresques Japanese Financing
Long-Term Debt
Monthly brokerage commission (as a percent)			1.25%
Percentage of broker commission fee payable			0.50%
Principal payment frequency			monthly
Periodic principal payment amount			$ 300,000
Balloon payment amount			$ 11,500,000
Debt obligations
Total debt obligations						51,645,000
Refinancing Of Commercial Tranche Of 2015 Facility
Long-Term Debt
Additional basis points to decrease the margin		0.10%
Basis points receivable as increase or reduction for changes in Average Efficiency Ratio		0.10%
Security leverage ratio		40.00%
New senior secured term loan facility
Long-Term Debt
Original loan amount		$ 155,800,000
2015 AR Facility
Long-Term Debt
Minimum stockholder's equity balance	$ 400,000,000
Minimum liquidity covenant	27,500,000					40,000,000
Minimum cash per mortgaged vessel from first anniversary through thereafter	$ 1,000,000.0					$ 2,200,000
Percentage of increase in security value ratio	145.00%			135.00%
Minimum \| Refinancing Of Commercial Tranche Of 2015 Facility
Long-Term Debt
Additional basis points to increase the margin		0.10%
Maximum \| Refinancing Of Commercial Tranche Of 2015 Facility
Long-Term Debt
Security leverage ratio		60.00%
Maximum \| New senior secured revolving credit facility
Long-Term Debt
Original loan amount		$ 25,000,000.0
LIBOR \| Cresques Japanese Financing
Long-Term Debt
Margin added to LIBOR for interest rate on loan facility (as a percent)			2.50%
LIBOR \| Refinancing Of Commercial Tranche Of 2015 Facility
Long-Term Debt
Margin added to LIBOR for interest rate on loan facility (as a percent)		2.50%
Dorian Dubai LPG Transport LLC (Cresques)
Long-Term Debt
Value of vessel transferred			$ 71,500,000
Term of Charter Agreement			12 years
Period until purchase option exercisable			3 years
Proceeds from sale of vessel			$ 52,500,000
Deposit retained by buyer			19,000,000.0
Repayment of debt			$ 28,500,000