682.5 is what percent of 807.5 - 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 807.5 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 807.5, so we can write it down as 100%=807.5.
4. We know, that x% equals 682.5 of the output value, so we can write it down as x%=682.5.
5. Now we have two simple equations:
1) 100%=807.5
2) x%=682.5
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%=807.5/682.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 682.5 is what percent of 807.5

100%/x%=807.5/682.5
(100/x)*x=(807.5/682.5)*x       - we multiply both sides of the equation by x
100=1.1831501831502*x       - we divide both sides of the equation by (1.1831501831502) to get x
100/1.1831501831502=x
84.520123839009=x
x=84.520123839009

now we have:
682.5 is 84.520123839009% of 807.5