38.12 is what percent of 121.94 - 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 121.94 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 121.94, so we can write it down as 100%=121.94.
4. We know, that x% equals 38.12 of the output value, so we can write it down as x%=38.12.
5. Now we have two simple equations:
1) 100%=121.94
2) x%=38.12
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%=121.94/38.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.12 is what percent of 121.94

100%/x%=121.94/38.12
(100/x)*x=(121.94/38.12)*x       - we multiply both sides of the equation by x
100=3.1988457502623*x       - we divide both sides of the equation by (3.1988457502623) to get x
100/3.1988457502623=x
31.261276037395=x
x=31.261276037395

now we have:
38.12 is 31.261276037395% of 121.94