Question

What percent of 90 is 9?

Answer 1

Hint: We need to find what is 9 as the percent of 90. Firstly, we start to solve the problem by considering the percentage as $x\%\;$ . Then, we find out the value of x by dividing the product of 9 and 100 by 90 to get the desired result.

Complete step by step solution:
Let the value of the percent of 90 that is 9 be $x\%\;$
We are asked to find out of x. We will be solving the given question by dividing the product of 9 and 100 by 90 to find the value of x.
A percentage is a value expressed as a fraction of a hundred or $\dfrac{1}{100}$ . It is denoted by the symbol
 ’$\%\;$’. The value expressed as a percentage does not have any dimension or unit of measurement.
For Example:
$\Rightarrow 2\%,3\%$
According to the question,
The word percent means ‘per hundred’.
In our case, the total percentage is 90.
From the above,
The value of 90 is equal to $100\%\;$
We need to find what percent of 90 is 9.
Writing the above lines in the form of the equation, we get,
$\Rightarrow 90=100\%$
$\Rightarrow 9=x\%$
Here, we perform cross multiplication to find out the value of x. On cross multiplying, we get,
$\Rightarrow x\%=\dfrac{9\times 100\%}{90}$
Simplifying the above expression, we get,
$\Rightarrow x\%=9\times 10\%$
$\therefore x\%=10\%$

$\therefore $ $10\%\;$ of 90 is 9.

Note: The given question can be solved alternatively as follows,
A particular quantity can be expressed as the percentage of the other by simply multiplying the fraction of the quantity by $100\%\;$
In our case,
Fraction $=\dfrac{9}{90}$
$\Rightarrow fraction\times 100\%$
Substituting the value of the fraction in the above expression, we get,
$\Rightarrow \dfrac{9}{90}\times 100\%$
$\Rightarrow 10\%$