18.21 is what percent of 55.53 - 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 55.53 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 55.53, so we can write it down as 100%=55.53.
4. We know, that x% equals 18.21 of the output value, so we can write it down as x%=18.21.
5. Now we have two simple equations:
1) 100%=55.53
2) x%=18.21
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%=55.53/18.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.21 is what percent of 55.53

100%/x%=55.53/18.21
(100/x)*x=(55.53/18.21)*x       - we multiply both sides of the equation by x
100=3.0494233937397*x       - we divide both sides of the equation by (3.0494233937397) to get x
100/3.0494233937397=x
32.793084819017=x
x=32.793084819017

now we have:
18.21 is 32.793084819017% of 55.53