Revenue from Contract with Customer (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2025	Sep. 30, 2024
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 749,428	$ 708,368	$ 1,342,069	$ 1,304,771
Other operating sales and revenues	4,749	2,394	5,870	3,041
Sales and other operating revenues	754,177	710,762	1,347,939	1,307,812
Manufactured Product [Member] | Tobacco Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	622,613	601,590	1,080,486	1,089,821
Manufactured Product [Member] | Food Ingredient Sales [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	88,837	76,543	173,780	157,237
Processing revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	23,964	14,080	54,732	28,749
Other sales and revenue from contracts with customers [Member]
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 14,014	$ 16,155	$ 33,071	$ 28,964