102.54 is what percent of 2628.88 - 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 2628.88 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 2628.88, so we can write it down as 100%=2628.88.
4. We know, that x% equals 102.54 of the output value, so we can write it down as x%=102.54.
5. Now we have two simple equations:
1) 100%=2628.88
2) x%=102.54
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%=2628.88/102.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.54 is what percent of 2628.88

100%/x%=2628.88/102.54
(100/x)*x=(2628.88/102.54)*x       - we multiply both sides of the equation by x
100=25.637604837137*x       - we divide both sides of the equation by (25.637604837137) to get x
100/25.637604837137=x
3.9005203736953=x
x=3.9005203736953

now we have:
102.54 is 3.9005203736953% of 2628.88