55.04 is what percent of 21.4 - 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 21.4 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 21.4, so we can write it down as 100%=21.4.
4. We know, that x% equals 55.04 of the output value, so we can write it down as x%=55.04.
5. Now we have two simple equations:
1) 100%=21.4
2) x%=55.04
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%=21.4/55.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.04 is what percent of 21.4

100%/x%=21.4/55.04
(100/x)*x=(21.4/55.04)*x       - we multiply both sides of the equation by x
100=0.38880813953488*x       - we divide both sides of the equation by (0.38880813953488) to get x
100/0.38880813953488=x
257.19626168224=x
x=257.19626168224

now we have:
55.04 is 257.19626168224% of 21.4