315.51 is what percent of 1026.13 - 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 1026.13 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 1026.13, so we can write it down as 100%=1026.13.
4. We know, that x% equals 315.51 of the output value, so we can write it down as x%=315.51.
5. Now we have two simple equations:
1) 100%=1026.13
2) x%=315.51
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%=1026.13/315.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.51 is what percent of 1026.13

100%/x%=1026.13/315.51
(100/x)*x=(1026.13/315.51)*x       - we multiply both sides of the equation by x
100=3.2522899432665*x       - we divide both sides of the equation by (3.2522899432665) to get x
100/3.2522899432665=x
30.747566097863=x
x=30.747566097863

now we have:
315.51 is 30.747566097863% of 1026.13