5.12 is what percent of 102 - 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 102 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 102, so we can write it down as 100%=102.
4. We know, that x% equals 5.12 of the output value, so we can write it down as x%=5.12.
5. Now we have two simple equations:
1) 100%=102
2) x%=5.12
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%=102/5.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.12 is what percent of 102

100%/x%=102/5.12
(100/x)*x=(102/5.12)*x       - we multiply both sides of the equation by x
100=19.921875*x       - we divide both sides of the equation by (19.921875) to get x
100/19.921875=x
5.0196078431373=x
x=5.0196078431373

now we have:
5.12 is 5.0196078431373% of 102