Question

What is $70\%$ of $90$ equal to?

Answer 1

Hint: In order to solve this question, we need to have a clear understanding in the topics of percent and percentage. We need to convert the given question into an equation form and find out what $70\%$ in $90$ is equal to. For this, we need to multiply $90$ with $70\%$ and write the resulting value as the solution.

Complete step by step solution:
We are required to find what $70\%$ of $90$ is equal to. In order to do so, we need to know what the exact percentage is. Percentage is a number which is usually expressed as a fraction of 100. It is represented by the percent sign $%$ after the number representing its value. So, say suppose we take 100 as the maximum quantity, then $x%$ of that 100 represents a small fraction of $x$ in that whole 100. For the given question this means that if 90 is divided into 100 parts, then 70 parts in those 100 parts represent what quantity. This is exactly what is required to be found out.
Since, percentage is expressed as a fraction of 100, $70\%$ is represented as 70 divided by 100.
$\Rightarrow 70\%=\dfrac{70}{100}$
Now according to the question, we are required to find what $70\%$ of $90$ is equal to. We know that ‘of’ means multiplication, so we just multiply both the terms.
$\Rightarrow \dfrac{70}{100}\times 90$
Multiplying both the numerators 70 and 90 together,
$\Rightarrow \dfrac{6300}{100}$
We now divide 6300 by 100 to get,
$\Rightarrow 63$
Hence, $70\%$ of $90$ is equal to $63.$

Note: To answer this question, students are required to have a through understanding of what percent or percentage is. If these concepts are clear, then this type of question can be solved very easily. Care must be taken that percentage means taking per cent which literally translates to per hundred. So, percentage is always a quantity measured with respect to 100.