Question

What percent of $250$ is $70$?

Answer 1

Hint: Here we have to find the answer in percentage form. In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is denoted by symbol %, or simply as “percent”. Actually we can show percent is decimal form too. Percentage and decimal both are equivalent. For example,$55\%$ is equivalent to the decimal $0.55$, or as a fraction too$\dfrac{55}{100}$ .

Complete step by step solution:
Here according to the question we have to calculate what percent of $250$ is $70$?
So for this we will follow some steps which are:
1. First determine the total or the whole amount from the given question. Here the total amount is $250$.
2. Second then divide the number to be expressed as a percent by the total. In most of the cases you will divide the smaller number by the larger number. Here we have expressed $70$ in percent. Numerically we will write it as:
$\Rightarrow \dfrac{70}{250}$
3. Now, we will multiply both the numerator and denominator of the fraction part with$100$. Or we can write it as:
$\Rightarrow \dfrac{70}{250}\times \dfrac{100}{100}$
Now after calculating, we get
$\begin{align}
  & \Rightarrow \dfrac{70}{250}\times \dfrac{100}{100} \\
 & \Rightarrow \dfrac{7}{25}\times \dfrac{100}{100} \\
 & \Rightarrow 0.28\times \dfrac{100}{100} \\
\end{align}$
Now multiplying the $0.28$ with$100$, then we get
$\begin{align}
  & \Rightarrow \dfrac{0.28\times 100}{100} \\
 & \Rightarrow \dfrac{28}{100} \\
\end{align}$
Or we can write it as $28\%$ .

Hence, we get $28\%$ of $250$ which is $70$.

Note: In these types of questions students may go wrong by not understanding the question carefully. Here the thing which we have to remember is that we always put the total amount in the denominator. Sometimes students make mistakes for simple calculations; they put the larger digit in the numerator which is wrong.