65 of what number is 39

Understand the Problem

The question is asking for the original number from which 65% equals 39. To solve this, we will use the relationship between percentage and the whole number.

Answer

60
Answer for screen readers

The final answer is 60

Steps to Solve

  1. Set up the equation based on the percentage relationship

    Let the original number be denoted by $x$. According to the problem, 65% of this number is equal to 39.

    This can be written as: $$0.65x = 39$$

  2. Isolate the variable $x$

    To find $x$, we need to solve for it. We do this by dividing both sides of the equation by 0.65: $$x = \frac{39}{0.65}$$

  3. Perform the division

    Calculate the result of the division to find the value of $x$: $$x = \frac{39}{0.65} = 60$$

The final answer is 60

More Information

To find an original number when given a percentage of it, you can set up an equation and solve for the unknown variable. This technique is frequently used in problems involving percentages.

Tips

A common mistake is forgetting to convert percentage to its decimal form (e.g., 65% to 0.65) before performing the calculation.

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