78.2 is what percent of 108 - 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 108 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 100% equals 108, so we can write it down as 100%=108.
4. We know, that x% equals 78.2 of the output value, so we can write it down as x%=78.2.
5. Now we have two simple equations:
1) 100%=108
2) x%=78.2
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:
100%/x%=108/78.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.2 is what percent of 108

100%/x%=108/78.2
(100/x)*x=(108/78.2)*x       - we multiply both sides of the equation by x
100=1.381074168798*x       - we divide both sides of the equation by (1.381074168798) to get x
100/1.381074168798=x
72.407407407407=x
x=72.407407407407

now we have:
78.2 is 72.407407407407% of 108