118.64 is what percent of 126.14 - 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 126.14 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 126.14, so we can write it down as 100%=126.14.
4. We know, that x% equals 118.64 of the output value, so we can write it down as x%=118.64.
5. Now we have two simple equations:
1) 100%=126.14
2) x%=118.64
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%=126.14/118.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.64 is what percent of 126.14

100%/x%=126.14/118.64
(100/x)*x=(126.14/118.64)*x       - we multiply both sides of the equation by x
100=1.0632164531355*x       - we divide both sides of the equation by (1.0632164531355) to get x
100/1.0632164531355=x
94.05422546377=x
x=94.05422546377

now we have:
118.64 is 94.05422546377% of 126.14