Question

What is $25\%$ of $22?$

Answer 1

Hint: We know that the percent of an object is a number or ratio that can be expressed as a fraction of hundred. We also know that we need to multiply the number with the percent to find the percent of the number.

Complete step by step solution:
Let us consider the given problem.
We are asked to find $25\%$ of $22.$
As we know, when we discuss percent, we consider the whole quantity as $100.$ Then, the amount will be expressed in terms of $100.$
When we say $100\%$ of a quantity, we mean to say the full amount of the quantity.
So, in the given problem, we need to consider $22$ in terms of hundred. Then, we can find out $25$ of this hundred.
So, we can write $25\%$ as $\dfrac{25}{100}.$
Now, we need to find $\dfrac{25}{100}$ of $22$
We will multiply the numbers to find the required answer.
So, when we multiply $\dfrac{25}{100},$ we will get $\dfrac{25}{100}\times 22.$
We know that $25\times 4=100.$ So, we will get $\dfrac{25}{100}=\dfrac{1}{4}.$
So, when we substitute this, we will get $\dfrac{1}{4}\times 22=5.5$
As we can see, there is a common factor in the numerator and the denominator. That is, $2.$
After we cancel the common factor, we will get $\dfrac{11}{2}.$
Hence the answer is $\dfrac{11}{2}=5.5.$

Note: We know that the result obtained by multiplying a quantity by a percent is called the percentage. If you need to find the percentage of the score you obtained in an exam, you need to multiply it with hundred and then divide the product with the total score.