Question

What percent of 40 is 28?

Answer 1

Hint: To obtain that what percent of 40 is 28 we will use the concept of percentage. Firstly we will let the percent of 40 which is equal to 28 is $x\%$ . So we will start by multiplying 40 by $x\%$ as its value has to be found. Then we will put the value equal to 28 and simplify it to get the desired answer.

Complete step by step answer:
To find what percent of 40 is 28 we will start by the below assumption.
Let 28 is $x\%$ of 40.
So that means $x\%$ of 40 will be written as below:
\[x\%~\text{of 4}0\]
Simplifying the above value further we get,
\[\begin{align}
  & \Rightarrow \dfrac{x}{100}\times 40 \\
 & \Rightarrow \dfrac{4x}{10} \\
\end{align}\]
Next the above value should be equal to 28 according to the first statement so,
$\begin{align}
  & \dfrac{4x}{10}=28 \\
 & \Rightarrow x=\dfrac{28\times 10}{4} \\
 & \Rightarrow x=7\times 10 \\
 & \therefore x=70 \\
\end{align}$
So we get the value of $x=70$
Hence $70\%$ of 40 is 28.

Note: Percentage is a term or a number or a ratio that is expressed as fraction of 100. It is usually denoted by the sign $\%$ or “per”. It is widely used in many field and real life problems also generally it is used to get the percentage of a value with respect to other value or to obtain what percent of a thing is what. A direct method is also there to get the solution which is given as below:
$P\%$ Of Number $=X$
Where $P$ is the answer
So we can write:
$x\%$ Of $40=28$
Removing percentage sign and dividing $x$ by 100 and simplifying it we get,
$\begin{align}
  & \Rightarrow \dfrac{x}{100}\times 40=28 \\
 & \Rightarrow x\times 40=28\times 100 \\
 & \Rightarrow x=\dfrac{28\times 100}{40} \\
 & \therefore x=70\% \\
\end{align}$
So we get $x=70\%$ which is the desired answer.