What is 8.63 percent of 78.9 - 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 78.9 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 78.9 is 100%, so we can write it down as 78.9=100%.
4. We know, that x is 8.63% of the output value, so we can write it down as x=8.63%.
5. Now we have two simple equations:
1) 78.9=100%
2) x=8.63%
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:
78.9/x=100%/8.63%
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 8.63% of 78.9

78.9/x=100/8.63
(78.9/x)*x=(100/8.63)*x       - we multiply both sides of the equation by x
78.9=11.587485515643*x       - we divide both sides of the equation by (11.587485515643) to get x
78.9/11.587485515643=x
6.80907=x
x=6.80907

now we have:
8.63% of 78.9=6.80907