78.58 is what percent of 82.5 - 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 82.5 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 82.5, so we can write it down as 100%=82.5.
4. We know, that x% equals 78.58 of the output value, so we can write it down as x%=78.58.
5. Now we have two simple equations:
1) 100%=82.5
2) x%=78.58
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%=82.5/78.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.58 is what percent of 82.5

100%/x%=82.5/78.58
(100/x)*x=(82.5/78.58)*x       - we multiply both sides of the equation by x
100=1.04988546704*x       - we divide both sides of the equation by (1.04988546704) to get x
100/1.04988546704=x
95.248484848485=x
x=95.248484848485

now we have:
78.58 is 95.248484848485% of 82.5