for

To isolate in the equation , first, rearrange the equation to get all terms involving on one side. Subtract from both sides to obtain . Now, divide both sides by to isolate :

This gives you the formula to find the interest rate when you have the total amount , the principal , and the time .

To fully understand this relationship, remember that in finance, the interest rate represents the cost of borrowing money or the gain from saving it. Understanding how changes in can influence both savings and investments is crucial for making informed financial decisions, especially in scenarios like loans or savings accounts.