102.58 is what percent of 320 - 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 320 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 320, so we can write it down as 100%=320.
4. We know, that x% equals 102.58 of the output value, so we can write it down as x%=102.58.
5. Now we have two simple equations:
1) 100%=320
2) x%=102.58
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%=320/102.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.58 is what percent of 320

100%/x%=320/102.58
(100/x)*x=(320/102.58)*x       - we multiply both sides of the equation by x
100=3.1195164749464*x       - we divide both sides of the equation by (3.1195164749464) to get x
100/3.1195164749464=x
32.05625=x
x=32.05625

now we have:
102.58 is 32.05625% of 320