3.95 is what percent of 31.18 - 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 31.18 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 31.18, so we can write it down as 100%=31.18.
4. We know, that x% equals 3.95 of the output value, so we can write it down as x%=3.95.
5. Now we have two simple equations:
1) 100%=31.18
2) x%=3.95
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%=31.18/3.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.95 is what percent of 31.18

100%/x%=31.18/3.95
(100/x)*x=(31.18/3.95)*x       - we multiply both sides of the equation by x
100=7.8936708860759*x       - we divide both sides of the equation by (7.8936708860759) to get x
100/7.8936708860759=x
12.668377164849=x
x=12.668377164849

now we have:
3.95 is 12.668377164849% of 31.18