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Related-Party Transactions (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2025
Jul. 31, 2024
Jul. 31, 2025
Jul. 31, 2024
Jan. 31, 2025
Related-Party Transactions (Details) [Line Items]          
Purchase of Corn and Other Supplies from Affiliates $ 29.0 $ 28.3 $ 53.9 $ 59.0  
Related Party [Member]          
Related-Party Transactions (Details) [Line Items]          
Accounts Payable $ 1.8   $ 1.8   $ 1.4