Question

What percent of \[180.4\] is \[25.7\]?

Answer 1

Hint: From the given question, we can understand that we have been given the total values and result and we are supposed to find out at what percent is \[25.7\] of \[180.4\]. So in order to find it out we are supposed to calculate it per hundred as it is mentioned that percent which is nothing but per every hundred.

Complete step by step answer:
Now let us have brief information regarding the percentage calculations. We can calculate the percentage by determining the whole or complete amount first and then dividing it with the number to be expressed as a percent by total. In most of the cases, we will be dividing the smaller number by the larger number. Lastly, multiply the resulting answer with hundred.
Now let us calculate how much of \[180.4\] is \[25.7\].
Let us consider the percent as \[x\]. Then we get the equation as shown below.
\[\dfrac{x}{100}\times 180.4=25.7\]
Now let us solve this equation. On solving we get,
\[\begin{align}
  & \dfrac{x}{100}\times 180.4=25.7 \\
 & \Rightarrow \dfrac{180.4x}{100}=25.7 \\
 & \Rightarrow 180.4x=2570 \\
 & \Rightarrow x=14.24611.. \\
\end{align}\]
Upon solving, we get \[x=14.24611..\]
Since all the numericals are considered till one decimal point, let us the value of \[x\] till one decimal point.
So the value of \[x\] would be \[x=14.2\].
\[\therefore \] \[14.2\%\] of \[180.4\] is \[25.7\].

Note: Percentages are to be calculated per hundred only. Percent means nothing but per every hundred. A percent can also be calculated in the form of a decimal or a fraction. Percentages can be used in calculating various terms such as loss percentage, profit percentage, discount percent and many more.