118.53 is what percent of 103.31 - 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 103.31 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 103.31, so we can write it down as 100%=103.31.
4. We know, that x% equals 118.53 of the output value, so we can write it down as x%=118.53.
5. Now we have two simple equations:
1) 100%=103.31
2) x%=118.53
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%=103.31/118.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.53 is what percent of 103.31

100%/x%=103.31/118.53
(100/x)*x=(103.31/118.53)*x       - we multiply both sides of the equation by x
100=0.87159368936134*x       - we divide both sides of the equation by (0.87159368936134) to get x
100/0.87159368936134=x
114.73235891976=x
x=114.73235891976

now we have:
118.53 is 114.73235891976% of 103.31