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Revenue from Contract with Customer (Disaggregation of Revenue) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Disaggregation of Revenue [Line Items]        
Revenue from contracts with customers $ 708,368 $ 635,807 $ 1,304,771 $ 1,152,177
Other operating sales and revenues 2,394 2,677 3,041 4,029
Sales and other operating revenues 710,762 638,484 1,307,812 1,156,206
Manufactured Product [Member] | Tobacco Sales [Member]        
Disaggregation of Revenue [Line Items]        
Revenue from contracts with customers 601,590 525,534 1,089,821 940,890
Manufactured Product [Member] | Food Ingredient Sales [Member]        
Disaggregation of Revenue [Line Items]        
Revenue from contracts with customers 76,543 78,397 157,237 149,055
Processing revenue [Member]        
Disaggregation of Revenue [Line Items]        
Revenue from contracts with customers 14,080 18,830 28,749 37,894
Other sales and revenue from contracts with customers [Member]        
Disaggregation of Revenue [Line Items]        
Revenue from contracts with customers $ 16,155 $ 13,046 $ 28,964 $ 24,338