Question

What number is $230\% $ of $40$?

Answer 1

Hint: To get to the solution, we need to point out what we know. Assume the given number is hundred percent. Because, it’s the output value of the task. We represent the unknown value with $x$. And simply solve the equation. Finally we get the required answer.

Complete step-by-step solution:
Here the given is $230\% $ of $40$.
The given output value is $230$
We assume the given number $40$ is hundred percent.
Because, it is the output value of the task.
We represent the unknown value with $x$.
We assume that $x$ is the value we are looking for.
If $40$ is $100\% $ so we can write it down as
 $40 = 100\% $
We know that $x$ is $230\% $ of the output value.
So we can write it down as
$x = 230\% $
Now simplify the two simple equations, we have,
$40 = 100\% \\
   x = 230\% $
Where, left sides of both of them have the units and both right sides have the same units. So we can do cross multiplication, we get,
$40 \times 230\% = 100\% \times x$
Here the percentage symbol is same, so cancel the symbol, we have,
$40 \times 230 = 100 \times x$
Now, we have to find the value of $x$
So divide $100$ both sides by hundred we get,
$\dfrac{{40 \times 230}}{{100}} = \dfrac{{x \times 100}}{{100}}$
Cancel the zeroes, we have,
$4 \times 23 = x$
$x = 92$
Therefore the final value we get $x = 92$
Therefore, $230$ percent of forty is $92$.

Note: In mathematics a percentage (from Latin per centum by a hundred) is a number or ratio expressed as a fraction of $230\% $ and $100.$ It is often denoted using the percent sign $\% $ although the abbreviations and sometimes are also used. Percentage is a relative value indicating the hundredth part of any quantity.