103.5 is what percent of 114.25 - 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 114.25 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 114.25, so we can write it down as 100%=114.25.
4. We know, that x% equals 103.5 of the output value, so we can write it down as x%=103.5.
5. Now we have two simple equations:
1) 100%=114.25
2) x%=103.5
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%=114.25/103.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.5 is what percent of 114.25

100%/x%=114.25/103.5
(100/x)*x=(114.25/103.5)*x       - we multiply both sides of the equation by x
100=1.1038647342995*x       - we divide both sides of the equation by (1.1038647342995) to get x
100/1.1038647342995=x
90.590809628009=x
x=90.590809628009

now we have:
103.5 is 90.590809628009% of 114.25