If 40% of a number is 80, what is the number?

To determine the number when 40% of it equals 80, you can set up the equation based on the relationship between percentages and their corresponding values.

Start by expressing the problem mathematically:

Let the unknown number be represented by ( x ). Since 40% of ( x ) equals 80, you can write the equation as:

[

0.40x = 80

]

Next, to isolate ( x ), you can divide both sides of the equation by 0.40:

[

x = \frac{80}{0.40}

]

Calculating the right side:

[

x = \frac{80}{0.40} = \frac{80}{\frac{4}{10}} = 80 \times \frac{10}{4} = 80 \times 2.5 = 200

]

Thus, the value of ( x ) is 200. This means that the number in question is indeed 200, as 40% of 200 is 80.

This deduction process reveals that the correct answer represents a straightforward application of percentage calculations and algebraic manipulation.