121.5 is what percent of 317.73 - 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 317.73 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 317.73, so we can write it down as 100%=317.73.
4. We know, that x% equals 121.5 of the output value, so we can write it down as x%=121.5.
5. Now we have two simple equations:
1) 100%=317.73
2) x%=121.5
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%=317.73/121.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.5 is what percent of 317.73

100%/x%=317.73/121.5
(100/x)*x=(317.73/121.5)*x       - we multiply both sides of the equation by x
100=2.6150617283951*x       - we divide both sides of the equation by (2.6150617283951) to get x
100/2.6150617283951=x
38.240015107166=x
x=38.240015107166

now we have:
121.5 is 38.240015107166% of 317.73