Question

The $198$ is $33\% $ of what number?

Answer 1

Hint: Here, we have to find the number which is $33\% $ of $198$. So, we will first assume that the number is $x$ and remove the percentage sign by dividing $33$ by $100$ and then we will use the percentage formula. The percentage formula states that $P\% $ of any number is equal to $X$. Using this formula we will form an equation and by solving the equation we get the value of an unknown number which is $x$.

Complete step by step answer:
In this question we have to determine the number which is $33\% $ of $198$.Let us assume $x$ be the number which is $33\% $ of $198$. We know that the percentage formula is $P\% $ of number $ = X$. So, the above statement can be written as,
$ \Rightarrow x \times 33\% = 198$
Removing the percentage sign by dividing $33$ by $100$. We get,
$ \Rightarrow x\, \times \,\dfrac{{33}}{{100}} = 198$
Rewriting the above equation. We get,
$ \Rightarrow x\, = 198 \times \,\dfrac{{100}}{{33}}$
On multiplying. We get,
$ \Rightarrow x = \dfrac{{19800}}{{33}}$
$ \therefore x = 600$
Therefore, the unknown number $x = 600$

Hence, $198$ is the $33\% $ of $600$.

Note: Percentage is defined as the relative value that indicates hundredth parts of any quantity or it can be defined as a number or ratio represented in the form of fractions of $100$ and is represented by the sign $\% $. The abbreviations used to represent the percentage are “pct” or”pc”. Each percentage problem has three possible unknown or variables. These variables are percent, part and the base. To solve percentage problems we need to recognize these unknown variables first. Here, in the question we have $33$ which is the percentage, $198$ is the part and $600$ is the base which we have calculated using the percentage formula.