120.24 is what percent of 310.18 - 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 310.18 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 310.18, so we can write it down as 100%=310.18.
4. We know, that x% equals 120.24 of the output value, so we can write it down as x%=120.24.
5. Now we have two simple equations:
1) 100%=310.18
2) x%=120.24
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%=310.18/120.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.24 is what percent of 310.18

100%/x%=310.18/120.24
(100/x)*x=(310.18/120.24)*x       - we multiply both sides of the equation by x
100=2.5796739853626*x       - we divide both sides of the equation by (2.5796739853626) to get x
100/2.5796739853626=x
38.764588303566=x
x=38.764588303566

now we have:
120.24 is 38.764588303566% of 310.18