56.4 is what percent of 257.8 - 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 257.8 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 257.8, so we can write it down as 100%=257.8.
4. We know, that x% equals 56.4 of the output value, so we can write it down as x%=56.4.
5. Now we have two simple equations:
1) 100%=257.8
2) x%=56.4
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%=257.8/56.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.4 is what percent of 257.8

100%/x%=257.8/56.4
(100/x)*x=(257.8/56.4)*x       - we multiply both sides of the equation by x
100=4.5709219858156*x       - we divide both sides of the equation by (4.5709219858156) to get x
100/4.5709219858156=x
21.877424359969=x
x=21.877424359969

now we have:
56.4 is 21.877424359969% of 257.8