3.81 is what percent of 20.18 - 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 20.18 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 20.18, so we can write it down as 100%=20.18.
4. We know, that x% equals 3.81 of the output value, so we can write it down as x%=3.81.
5. Now we have two simple equations:
1) 100%=20.18
2) x%=3.81
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%=20.18/3.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.81 is what percent of 20.18

100%/x%=20.18/3.81
(100/x)*x=(20.18/3.81)*x       - we multiply both sides of the equation by x
100=5.2965879265092*x       - we divide both sides of the equation by (5.2965879265092) to get x
100/5.2965879265092=x
18.880079286422=x
x=18.880079286422

now we have:
3.81 is 18.880079286422% of 20.18