80.32 is what percent of 625.25 - 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 625.25 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 100% equals 625.25, so we can write it down as 100%=625.25.
4. We know, that x% equals 80.32 of the output value, so we can write it down as x%=80.32.
5. Now we have two simple equations:
1) 100%=625.25
2) x%=80.32
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%=625.25/80.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.32 is what percent of 625.25

100%/x%=625.25/80.32
(100/x)*x=(625.25/80.32)*x       - we multiply both sides of the equation by x
100=7.7844870517928*x       - we divide both sides of the equation by (7.7844870517928) to get x
100/7.7844870517928=x
12.84606157537=x
x=12.84606157537

now we have:
80.32 is 12.84606157537% of 625.25