Question

What is \[16\%\] of \[30\]?

Answer 1

Hint: We are supposed to calculate the \[{{16}^{th}}\] part of \[30\] when it is divided into \[100\] equal parts. We consider it as \[100\] equal parts because \[\%\] denotes that ‘per cent’ which means per every hundred. Everything that is whole or complete is generally calculated as per \[100\]. So, we will divide 16 by 100 and then multiply it by 30 to get the answer.

Complete step-by-step solution:
Let us know more about percentages and its calculation. Percent means per hundred. A percent can be expressed in the form of either a fraction or decimal or both. If we are given percentages and asked to convert it into fraction, we have to divide the given percentage by $100$ . After obtaining the fraction, we can convert into decimal if we wish to. We can apply percentages to find the loss percent or profit percent, interest percentage either be it simple or compound and many more can be calculated.
Now let us start finding out the \[16\%\] of\[30\].
In order to calculate the required value, divide \[16\] by \[100\] and then multiply it by \[30\].
\[\begin{align}
  & \Rightarrow \dfrac{16}{100}\times 30 \\
 & =\dfrac{480}{100} \\
 & =4.8 \\
\end{align}\]
\[\therefore \] The \[16\%\] of \[30\] is \[4.8\].

Note: Whenever \[\%\] is given, it has to be calculated per \[100\]. This can be solved by calculating the fractional part first and then multiplying it with the number.
Let us solve it by the above mentioned method and verify it.
\[\begin{align}
  & \Rightarrow \dfrac{16}{100}\times 30 \\
 & =0.16\times 30 \\
 & =4.8 \\
\end{align}\]
We can observe that we have obtained the same answer in both cases.
Hence it is verified and any one of the methods can be used in finding out the required value.