Question

What percent of \[400\] is \[48\]?

Answer 1

Hint: We know that the percentage of \[x\] in \[y\] is equal to \[\dfrac{x}{y}\times 100\] . By using this concept, we can find the percentage of \[48\] in \[400\]. While solving the problem related to percentage, calculation mistakes should be avoided to get an accurate answer.

Complete step by step answer:
From the question we were asked to find percentage of\[48\] in \[400\]
We know from the basic concept that, percentage of is a number or ratio expressed as a fraction as a fraction as 100.
Now let us try to solve,
Now let us assume that the\[400\] is \[100\%\]
Now, we will assume that \[x\] is the value we are looking for
If \[100\%\] equals to \[400\],so we can write it down as
\[100\%=400\]
We know that \[x\%\] equals \[48\]0f the output value, so we can write it down as
\[x\%=48\]
Now we have two simple equations for solving, those are
\[x\%=48\] and \[100\%=400\]
Here, the left sides of both of them have the same units and both right sides have the same units, so we can divide both of them.
Now, we will get
\[\Rightarrow \] \[\dfrac{x\%}{100\%}=\dfrac{48}{400}\]
Now, we will multiply with 100 on both sides.
\[\Rightarrow \]\[\dfrac{x\%}{100\%}\times 100=\dfrac{48}{400}\times 100\]
After simplification we get
\[\Rightarrow \]\[x=\dfrac{48}{4}\]
On further simplification we get
\[\Rightarrow \]\[x=12\]
So, finally we got\[x=12\]

Now we can conclude that \[48\] is \[12\%\] of \[400\].

Note: Students may have a calculation error while solving this problem. If a small calculation mistake is done, while solving this problem the final answer may get interrupted. So, these mistakes should be avoided while solving these kinds of problems to get a correct and accurate answer.