Question

What is $4\%$ of 800?

Answer 1

Hint: We shall use the concept of percent and percentage to solve this question. We are required to find what $4\%$ of 800 is. This is given in the form of words. This needs to be converted to an equation form. The percent symbol needs to be substituted by $\dfrac{1}{100}$ and of means multiplication. We then calculate this value by simplifying the expression obtained after representing it in the mathematical form.

Complete step by step answer:
In order to solve this question, let us convert the given word format in the question which is given as $4\%$ of 800 to a mathematical format. The $\%$ symbol means percent which means per cent or per hundred and should be replaced by the value $\dfrac{1}{100}.$ ‘Of’ means multiplication. We now represent this in the mathematical form as follows:
$\Rightarrow \dfrac{4}{100}\times 800$
The highest common factor for 800 and 100 is 100. Now we simplify this by dividing 800 by 100 which simplifies to 8,
$\Rightarrow 4\times 8$
Multiplying these two terms, we get the value as follows,
$\Rightarrow 32$
This is nothing but the value obtained when we take 4 percent of 800.

Hence, $4\%$ of 800 is given as 32.

Note: It is important to know the basic concepts of percent and percentage. Percent means per hundred or out of hundred. Here, cent stands for one hundred. We need to also know how to convert a given word problem into a mathematical equation. For the given question, the $\%$ symbol needs to be replaced by the value $\dfrac{1}{100}.$ Also, the word ‘of’ needs to be replaced by the multiplication symbol to represent this equation in a mathematical form.