The number 65 is 25% of what number?

To determine what number 65 is 25% of, you can set up the equation based on the relationship of percentage to the whole number. In this case, if 65 represents 25% of an unknown number (let's call it X), you can express this mathematically as:

65 = 0.25 * X

To find X, you can rearrange the equation by dividing both sides by 0.25:

X = 65 / 0.25

Calculating 65 divided by 0.25 is the same as multiplying 65 by 4, since dividing by a fraction is equivalent to multiplying by its reciprocal:

X = 65 * 4

X = 260

Thus, 65 is 25% of 260, making it the correct answer. Understanding the concept of percentages in this way helps in quickly identifying relationships between a part and a whole, which is essential for solving problems in math.