What is 82.3 percent of 118 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 118 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 118 is 100%, so we can write it down as 118=100%.
4. We know, that x is 82.3% of the output value, so we can write it down as x=82.3%.
5. Now we have two simple equations:
1) 118=100%
2) x=82.3%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
118/x=100%/82.3%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 82.3% of 118

118/x=100/82.3
(118/x)*x=(100/82.3)*x       - we multiply both sides of the equation by x
118=1.2150668286756*x       - we divide both sides of the equation by (1.2150668286756) to get x
118/1.2150668286756=x
97.114=x
x=97.114

now we have:
82.3% of 118=97.114