3.88 is what percent of 8.14 - 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 8.14 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 8.14, so we can write it down as 100%=8.14.
4. We know, that x% equals 3.88 of the output value, so we can write it down as x%=3.88.
5. Now we have two simple equations:
1) 100%=8.14
2) x%=3.88
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%=8.14/3.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.88 is what percent of 8.14

100%/x%=8.14/3.88
(100/x)*x=(8.14/3.88)*x       - we multiply both sides of the equation by x
100=2.0979381443299*x       - we divide both sides of the equation by (2.0979381443299) to get x
100/2.0979381443299=x
47.665847665848=x
x=47.665847665848

now we have:
3.88 is 47.665847665848% of 8.14