Question

What percent is $285$ of the number $475$ ?

Answer 1

In the given question, we are required to calculate the percentage that corresponds to the number $285$ of the number $475$. So, we can find the percentage for $285$ of the number $475$ by using the formula of percentage as $Percentage = \dfrac{a}{b} \times 100\%$ where a is the number whose percentage is to be calculated and b is the number that corresponds to whole.

Complete step by step answer:
In this specific question, we have to find the percentage that corresponds to $285$ out of the number $475$.
So, we have to find what percent corresponds to $285$ when the whole $100$ percent corresponds to $475$. So, we can calculate the percentage $285$ of the number $475$ using the formula $Percentage = \dfrac{a}{b} \times 100\%$.
In this formula, a is the number whose percentage is to be found and b is the number that constitutes the entire $100$ percent.
Here, $a = 285$ and $b = 475$
Now, since the numbers whose percentage is to be calculated are simple numbers, there is no need to change them into the same units as they are dimensionless.
Hence, substituting the values of a and b in to the formula, we get,
$Percentage = \dfrac{{285}}{{475}} \times 100\%$
Cancelling out the common factors in numerator and denominator, we get,
$\Rightarrow Percentage = 3 \times 20\%$
Doing the calculations, we get,
$\Rightarrow Percentage = 60\%$
Therefore, $285$ is $60\%$ of the number $475$.
This is our required final answer for the given problem.

Note:
There are various methods to find an answer to the given question, but the method described above is the simplest one. We can also consider solving the problem using the unitary method by taking the original number as $100\%$ of itself and then computing the change percent in comparison to the original number. Work as many problems as possible to crack these types of problems in a limited time period.