Question

What percent of 200 is 104?

Answer 1

Hint: To find what percent of 200 is 104 , we have to assume this percentage to be x. Then, we have to represent this in the form $x\%\text{ of }200=104$ . We then have to convert this in the mathematical form and solve for x by converting x% into number form. To convert x% into its number form, we have to divide x by 100.

Complete step by step solution:
We have to find what percentage of 200 is 104. Let us consider this percentage as x. We can represent this as follows.
$\Rightarrow x\%\text{ of }200=104$
Let us write the above form mathematically.
$\Rightarrow x\%\times 200=104$
We have to convert x% into its number form. We know that a percentage is converted into its number form by dividing it by 100.
$\Rightarrow \dfrac{x}{100}\times 200=104$
Let us cancel the zeroes from the numerator and denominator of the LHS.
$\Rightarrow \dfrac{x}{1\require{cancel}\cancel{0}\require{cancel}\cancel{0}}\times
2\require{cancel}\cancel{0}\require{cancel}\cancel{0}=104$
We can write the result of the above simplification as
$\Rightarrow 2x=104$
Let us find the value of x by taking its coefficient to the RHS. Then, the above equation
can be written as
$\begin{align}
& \Rightarrow x=\dfrac{104}{2} \\
& \Rightarrow x=52 \\
\end{align}$
Therefore, 52% of 200 is 104.

Note: Students must know how to convert a number into its percentage and vise-versa. A percentage is meant out of 100 or per 100. We have seen how to convert a
percentage into its number. To convert a number into percentage, we have to multiply
that number 100 times. Students must note that in percentage ‘of’ means multiply or
times.