39.5 is what percent of 30.81 - 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 30.81 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 30.81, so we can write it down as 100%=30.81.
4. We know, that x% equals 39.5 of the output value, so we can write it down as x%=39.5.
5. Now we have two simple equations:
1) 100%=30.81
2) x%=39.5
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%=30.81/39.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.5 is what percent of 30.81

100%/x%=30.81/39.5
(100/x)*x=(30.81/39.5)*x       - we multiply both sides of the equation by x
100=0.78*x       - we divide both sides of the equation by (0.78) to get x
100/0.78=x
128.20512820513=x
x=128.20512820513

now we have:
39.5 is 128.20512820513% of 30.81