Question

What percent of $$80$$ is $$40$$?

Answer 1

Hint: In the given question, we had been asked the percent of $$80$$ is $$40$$. Here, we have to find the percentage. To do that, we need just to apply the simple formula of percentage. The given number is multiplied by x% and equals to $$40$$. Then, we need to find out the value of x i.e., percent.

Complete step-by-step solution:
Percent is defined as the ratio of given quantity to the whole and it is multiplied by the 100.
We using the below formula:
$$\text{Percent=}{\displaystyle \frac{\text{Given Quantity}}{\text{Whole}}}\times 100$$
Generally, the percent is denoted by the symbol ‘%’.
Let us solve the given question.
To solve the given problem, we have to calculate
$$80\times x$$…………. (1) (as per the given question)
When we use the symbol $$$$ , we are multiplying by x and dividing by 100.
 So, equation (1) becomes, we get
$$\Rightarrow 80\times {\displaystyle \frac{x}{100}}=40$$
Cross multiplying the above terms, we get
$$\Rightarrow 80\times x=40\times 100$$
Which equals to
$$\Rightarrow 80x=4000$$
By dividing, we get
$$\Rightarrow x={\displaystyle \frac{4000}{80}}$$
Which then equals to
$$\therefore x=50$$
Therefore,$$50\mathrm{\%}$$ of $$80$$ is $$40$$.
Required answer is $$50\mathrm{\%}$$.

Note: We need to know the key words to frame a required equation with given conditions. Actually, the percent means out of 100, how much part does the given number occupy. so, to find out the quantity in percent, we need to multiply the given number by x/100. so, we just know the basic concept of percentages. To express any number as a percent-fraction, decimal etc, we follow the same, simple rule that is ‘multiply the number by 100’ and we have a solution.