118.44 is what percent of 221.12 - 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 221.12 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 221.12, so we can write it down as 100%=221.12.
4. We know, that x% equals 118.44 of the output value, so we can write it down as x%=118.44.
5. Now we have two simple equations:
1) 100%=221.12
2) x%=118.44
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%=221.12/118.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.44 is what percent of 221.12

100%/x%=221.12/118.44
(100/x)*x=(221.12/118.44)*x       - we multiply both sides of the equation by x
100=1.8669368456602*x       - we divide both sides of the equation by (1.8669368456602) to get x
100/1.8669368456602=x
53.563675832127=x
x=53.563675832127

now we have:
118.44 is 53.563675832127% of 221.12