125.03 is what percent of 1502.86 - 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 1502.86 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 1502.86, so we can write it down as 100%=1502.86.
4. We know, that x% equals 125.03 of the output value, so we can write it down as x%=125.03.
5. Now we have two simple equations:
1) 100%=1502.86
2) x%=125.03
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%=1502.86/125.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.03 is what percent of 1502.86

100%/x%=1502.86/125.03
(100/x)*x=(1502.86/125.03)*x       - we multiply both sides of the equation by x
100=12.019995201152*x       - we divide both sides of the equation by (12.019995201152) to get x
100/12.019995201152=x
8.3194708755307=x
x=8.3194708755307

now we have:
125.03 is 8.3194708755307% of 1502.86