55.23 is what percent of 118.8 - 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 118.8 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 118.8, so we can write it down as 100%=118.8.
4. We know, that x% equals 55.23 of the output value, so we can write it down as x%=55.23.
5. Now we have two simple equations:
1) 100%=118.8
2) x%=55.23
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%=118.8/55.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.23 is what percent of 118.8

100%/x%=118.8/55.23
(100/x)*x=(118.8/55.23)*x       - we multiply both sides of the equation by x
100=2.1510048886475*x       - we divide both sides of the equation by (2.1510048886475) to get x
100/2.1510048886475=x
46.489898989899=x
x=46.489898989899

now we have:
55.23 is 46.489898989899% of 118.8