What is 7.88 percent of 258.69 - 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 258.69 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 258.69 is 100%, so we can write it down as 258.69=100%.
4. We know, that x is 7.88% of the output value, so we can write it down as x=7.88%.
5. Now we have two simple equations:
1) 258.69=100%
2) x=7.88%
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:
258.69/x=100%/7.88%
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 7.88% of 258.69

258.69/x=100/7.88
(258.69/x)*x=(100/7.88)*x       - we multiply both sides of the equation by x
258.69=12.690355329949*x       - we divide both sides of the equation by (12.690355329949) to get x
258.69/12.690355329949=x
20.384772=x
x=20.384772

now we have:
7.88% of 258.69=20.384772