118.71 is what percent of 222.79 - 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 222.79 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 222.79, so we can write it down as 100%=222.79.
4. We know, that x% equals 118.71 of the output value, so we can write it down as x%=118.71.
5. Now we have two simple equations:
1) 100%=222.79
2) x%=118.71
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%=222.79/118.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.71 is what percent of 222.79

100%/x%=222.79/118.71
(100/x)*x=(222.79/118.71)*x       - we multiply both sides of the equation by x
100=1.8767584870693*x       - we divide both sides of the equation by (1.8767584870693) to get x
100/1.8767584870693=x
53.283361012613=x
x=53.283361012613

now we have:
118.71 is 53.283361012613% of 222.79