Question

What number is \[35\% \]of \[56\]?

Answer 1

Hint: In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol %.
 To find the number,we need to follow these steps.
> Visualize what a percentage represents. A percentage is an expression of part of the whole. 0% represents nothing, and 100% represents the entire amount.
> Determine the value of the whole. In some cases, you will be given the value for part of the whole and the whole. Other times, you might get two parts that make up the whole.
> Find the value that you want to turn into a percentage.
Here, by simplification method we can solve the given sum.

Complete step-by-step solution:
We have to find the number which is \[35\% \]of \[56\].
Let us consider the number to be \[x\].
When we deal with the word of, it means times or to multiply.
According to the problem,
\[x = 35\% \] of \[56\]
Simplifying we get,
\[x = \dfrac{{35}}{{100}} \times 56\]
Simplifying again we get,
\[x = 19.6\]
Hence, the required number is \[19.6\].

Note: There is another way to calculate the given sum.
Here, we are going to convert \[35\% \] in the decimal. Then we will multiply with \[56\].
So, we have \[\dfrac{{35}}{{100}} = 0.35\]
Then, the required number is \[0.35 \times 56\]
Simplifying we get, the required number is \[19.6\].
Hence, the required number is \[19.6\].