What is 12.58 percent of 232.5 - 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 232.5 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 232.5 is 100%, so we can write it down as 232.5=100%.
4. We know, that x is 12.58% of the output value, so we can write it down as x=12.58%.
5. Now we have two simple equations:
1) 232.5=100%
2) x=12.58%
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:
232.5/x=100%/12.58%
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 12.58% of 232.5

232.5/x=100/12.58
(232.5/x)*x=(100/12.58)*x       - we multiply both sides of the equation by x
232.5=7.9491255961844*x       - we divide both sides of the equation by (7.9491255961844) to get x
232.5/7.9491255961844=x
29.2485=x
x=29.2485

now we have:
12.58% of 232.5=29.2485