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Related-Party Transactions (Details) - USD ($)
3 Months Ended 9 Months Ended
Oct. 31, 2025
Oct. 31, 2024
Oct. 31, 2025
Oct. 31, 2024
Jan. 31, 2025
Related-Party Transactions (Details) [Line Items]          
Purchase of Corn and Other Supplies from Affiliates $ 19,400,000 $ 22,700,000 $ 73,300,000 $ 81,700,000  
Proceeds from Noncontrolling Interests       $ 1,500,000  
Costs and Expenses, Related Party   $ 0 0    
Related Party [Member]          
Related-Party Transactions (Details) [Line Items]          
Accounts Payable $ 600,000   $ 600,000   $ 1,400,000