What is 26.82 percent of 78.25 - 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 78.25 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 78.25 is 100%, so we can write it down as 78.25=100%.
4. We know, that x is 26.82% of the output value, so we can write it down as x=26.82%.
5. Now we have two simple equations:
1) 78.25=100%
2) x=26.82%
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:
78.25/x=100%/26.82%
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 26.82% of 78.25

78.25/x=100/26.82
(78.25/x)*x=(100/26.82)*x       - we multiply both sides of the equation by x
78.25=3.7285607755406*x       - we divide both sides of the equation by (3.7285607755406) to get x
78.25/3.7285607755406=x
20.98665=x
x=20.98665

now we have:
26.82% of 78.25=20.98665