What is 8.679 percent of 38.8517 - 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 38.8517 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 38.8517 is 100%, so we can write it down as 38.8517=100%.
4. We know, that x is 8.679% of the output value, so we can write it down as x=8.679%.
5. Now we have two simple equations:
1) 38.8517=100%
2) x=8.679%
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:
38.8517/x=100%/8.679%
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 8.679% of 38.8517

38.8517/x=100/8.679
(38.8517/x)*x=(100/8.679)*x       - we multiply both sides of the equation by x
38.8517=11.522064754004*x       - we divide both sides of the equation by (11.522064754004) to get x
38.8517/11.522064754004=x
3.371939043=x
x=3.371939043

now we have:
8.679% of 38.8517=3.371939043