Revenue from Contract with Customer (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2024	Dec. 31, 2023
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 927,981	$ 813,133	$ 2,232,752	$ 1,965,310
Other operating sales and revenues	9,212	8,374	12,253	12,403
Sales and other operating revenues	937,193	821,507	2,245,005	1,977,713
Manufactured Product [Member] | Tobacco Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	811,743	694,215	1,901,564	1,635,105
Manufactured Product [Member] | Food Ingredient Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	78,705	72,254	235,942	221,309
Processing revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	21,128	20,448	49,877	58,342
Other sales and revenue from contracts with customers [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 16,405	$ 26,216	$ 45,369	$ 50,554