What is 14.04 percent of 78.08 - 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 78.08 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 78.08 is 100%, so we can write it down as 78.08=100%.
4. We know, that x is 14.04% of the output value, so we can write it down as x=14.04%.
5. Now we have two simple equations:
1) 78.08=100%
2) x=14.04%
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:
78.08/x=100%/14.04%
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 14.04% of 78.08

78.08/x=100/14.04
(78.08/x)*x=(100/14.04)*x       - we multiply both sides of the equation by x
78.08=7.1225071225071*x       - we divide both sides of the equation by (7.1225071225071) to get x
78.08/7.1225071225071=x
10.962432=x
x=10.962432

now we have:
14.04% of 78.08=10.962432