Question

The $33$ is what percent of $40$ ?

Answer 1

Hint:In the given question, we are required to calculate the percentage of a given number that corresponds to another number. We must remember the formula for finding a specific percentage of a number as: $Percentage = \dfrac{{Part}}{{Whole}} \times 100\% $. The percentage of a number corresponds to the share or share in the whole thing.

Complete step by step answer:
In this specific question, we are required to find the percentage that represents the number $33$ out of $40$.Let us assume the required percentage to be $x$ percent.So, we have to find the value of x to get to the required answer.We will use the formula for finding the percentage of a number in the problem as,
$Percentage = \dfrac{{Part}}{{Whole}} \times 100\% $
So, the whole corresponds to the number $40$ and the part corresponds to the number $33$ in this case. Also, the percentage is assumed to be x. So, we substitute these known values in the above mentioned formula. So, we get,
$ \Rightarrow x\% = \dfrac{{33}}{{40}} \times 100\% $

Now, we have to find the value of x in the above equation. We use the method of transposition to shift the terms in the equation and find the value of the variable. Simplifying the calculations and cancelling common factors in numerator and denominator, we get,
$ \Rightarrow x\% = \dfrac{{33}}{4} \times 10\% $
\[ \Rightarrow x\% = \dfrac{{33}}{2} \times 5\% \]
Now, representing the value in decimal, we get,
\[ \Rightarrow x\% = \dfrac{{165}}{2}\% \]
Expressing as decimal representation, we get,
\[ \Rightarrow x\% = 82.5\% \]
So, the value of x is $82.5$.

Hence, $33$ is $82.5$ percent of $40$.

Note:The percentage formula $Percentage = \dfrac{{Part}}{{Whole}} \times 100\% $ can be used to find any parameter in the equation given the other parameters. In the question, we must mind the language and substitute the values of the known parameters at the right place to get to the required answer. The final answer must be given in the whole number quantity by canceling the common factors in numerator and denominator.