78.31 is what percent of 576.8 - 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 576.8 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 576.8, so we can write it down as 100%=576.8.
4. We know, that x% equals 78.31 of the output value, so we can write it down as x%=78.31.
5. Now we have two simple equations:
1) 100%=576.8
2) x%=78.31
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%=576.8/78.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.31 is what percent of 576.8

100%/x%=576.8/78.31
(100/x)*x=(576.8/78.31)*x       - we multiply both sides of the equation by x
100=7.3655982633125*x       - we divide both sides of the equation by (7.3655982633125) to get x
100/7.3655982633125=x
13.576629680999=x
x=13.576629680999

now we have:
78.31 is 13.576629680999% of 576.8