121.25 is what percent of 319.5 - 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 319.5 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 319.5, so we can write it down as 100%=319.5.
4. We know, that x% equals 121.25 of the output value, so we can write it down as x%=121.25.
5. Now we have two simple equations:
1) 100%=319.5
2) x%=121.25
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%=319.5/121.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.25 is what percent of 319.5

100%/x%=319.5/121.25
(100/x)*x=(319.5/121.25)*x       - we multiply both sides of the equation by x
100=2.6350515463918*x       - we divide both sides of the equation by (2.6350515463918) to get x
100/2.6350515463918=x
37.949921752739=x
x=37.949921752739

now we have:
121.25 is 37.949921752739% of 319.5