Revenue from Contract with Customer (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2023	Dec. 31, 2022
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 813,133	$ 790,143	$ 1,965,310	$ 1,869,269
Other operating sales and revenues	8,374	4,896	12,403	6,576
Sales and other operating revenues	821,507	795,039	1,977,713	1,875,845
Manufactured Product [Member] | Tobacco Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	694,215	672,002	1,635,105	1,536,898
Manufactured Product [Member] | Food Ingredient Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	72,254	65,824	221,309	219,429
Processing revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	20,448	21,266	58,342	54,796
Other sales and revenue from contracts with customers [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 26,216	$ 31,051	$ 50,554	$ 58,146