Question

What number is \[28\%\] of \[75\]?

Answer 1

Hint: In the given question, we had been asked what number is \[28\%\] of \[75\]. Here, we have to find the number by making all the required calculations. To do that, we need just to apply the simple formula of percentage. The given percentage and number are simplified and find out the resultant answer.

Complete step-by-step solution:
Percent is defined as the ratio of given quantity to the whole and it is multiplied by 100.
We using the below formula:
\[\text{percent}=\dfrac{\text{given quantity}}{\text{whole}}\times 100\]
we have given the percent and the whole, we need to find out the given quantity.
Generally, the percent is denoted by the symbol ‘%’.
Let us solve the problem
Given that the \[28\%\] of \[75\]is\[\text{x}\]. We need to find out the number \[\text{x}\].
We know that \[a\%\]of \[y\] is defined as ‘a’ part per 100 multiplied to y i.e., \[a\%\] of \[y\]
\[x=\dfrac{a}{100}\times y\]
We have \[28\%\] of \[75\]
\[\Rightarrow \dfrac{28}{100}\times 75\]
On cancelling the terms which are multiplied by the \[25\], we get
\[\Rightarrow \dfrac{28}{4}\times 3\]
The fraction term is cancelled out again into
\[\begin{align}
  & \Rightarrow 7\times 3 \\
 & =21 \\
\end{align}\]
\[\therefore 21\] is \[28\%\] of \[75\].

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 percent. 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.