121.18 is what percent of 125.03 - 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 125.03 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 125.03, so we can write it down as 100%=125.03.
4. We know, that x% equals 121.18 of the output value, so we can write it down as x%=121.18.
5. Now we have two simple equations:
1) 100%=125.03
2) x%=121.18
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%=125.03/121.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.18 is what percent of 125.03

100%/x%=125.03/121.18
(100/x)*x=(125.03/121.18)*x       - we multiply both sides of the equation by x
100=1.0317709192936*x       - we divide both sides of the equation by (1.0317709192936) to get x
100/1.0317709192936=x
96.920739022635=x
x=96.920739022635

now we have:
121.18 is 96.920739022635% of 125.03