99.54 is what percent of 257.5 - 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 257.5 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 257.5, so we can write it down as 100%=257.5.
4. We know, that x% equals 99.54 of the output value, so we can write it down as x%=99.54.
5. Now we have two simple equations:
1) 100%=257.5
2) x%=99.54
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%=257.5/99.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.54 is what percent of 257.5

100%/x%=257.5/99.54
(100/x)*x=(257.5/99.54)*x       - we multiply both sides of the equation by x
100=2.5868997387985*x       - we divide both sides of the equation by (2.5868997387985) to get x
100/2.5868997387985=x
38.656310679612=x
x=38.656310679612

now we have:
99.54 is 38.656310679612% of 257.5