What is 12.257 percent of 87.83 - 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 87.83 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 87.83 is 100%, so we can write it down as 87.83=100%.
4. We know, that x is 12.257% of the output value, so we can write it down as x=12.257%.
5. Now we have two simple equations:
1) 87.83=100%
2) x=12.257%
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:
87.83/x=100%/12.257%
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 12.257% of 87.83

87.83/x=100/12.257
(87.83/x)*x=(100/12.257)*x       - we multiply both sides of the equation by x
87.83=8.1586032471241*x       - we divide both sides of the equation by (8.1586032471241) to get x
87.83/8.1586032471241=x
10.7653231=x
x=10.7653231

now we have:
12.257% of 87.83=10.7653231