What is 8.125 percent of 157.89 - 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 157.89 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 157.89 is 100%, so we can write it down as 157.89=100%.
4. We know, that x is 8.125% of the output value, so we can write it down as x=8.125%.
5. Now we have two simple equations:
1) 157.89=100%
2) x=8.125%
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:
157.89/x=100%/8.125%
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 8.125% of 157.89

157.89/x=100/8.125
(157.89/x)*x=(100/8.125)*x       - we multiply both sides of the equation by x
157.89=12.307692307692*x       - we divide both sides of the equation by (12.307692307692) to get x
157.89/12.307692307692=x
12.8285625=x
x=12.8285625

now we have:
8.125% of 157.89=12.8285625