120.5 is what percent of 313 - 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 313 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 313, so we can write it down as 100%=313.
4. We know, that x% equals 120.5 of the output value, so we can write it down as x%=120.5.
5. Now we have two simple equations:
1) 100%=313
2) x%=120.5
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%=313/120.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.5 is what percent of 313

100%/x%=313/120.5
(100/x)*x=(313/120.5)*x       - we multiply both sides of the equation by x
100=2.597510373444*x       - we divide both sides of the equation by (2.597510373444) to get x
100/2.597510373444=x
38.498402555911=x
x=38.498402555911

now we have:
120.5 is 38.498402555911% of 313