Revenue from Contracts with Customers Revenue from Contract with Customer (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2022
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	$ 2,721,644	$ 2,549,818	$ 2,091,150
Sales and other operating revenues	2,748,573	2,569,824	2,103,601
Manufactured Product, Other | Tobacco Sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	2,268,600	2,093,493	1,703,330
Manufactured Product, Other | Food Ingredient Sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	292,291	294,302	250,595
Service, Other
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	82,976	78,357	77,048
Product and Service, Other
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax	77,777	83,666	60,177
Other sales and revenue [Member] [Member]
Disaggregation of Revenue [Line Items]
Other operating revenues	$ 26,929	$ 20,006	$ 12,451