14.81 is what percent of 78.34 - 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 78.34 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 78.34, so we can write it down as 100%=78.34.
4. We know, that x% equals 14.81 of the output value, so we can write it down as x%=14.81.
5. Now we have two simple equations:
1) 100%=78.34
2) x%=14.81
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%=78.34/14.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.81 is what percent of 78.34

100%/x%=78.34/14.81
(100/x)*x=(78.34/14.81)*x       - we multiply both sides of the equation by x
100=5.2896691424713*x       - we divide both sides of the equation by (5.2896691424713) to get x
100/5.2896691424713=x
18.904774061782=x
x=18.904774061782

now we have:
14.81 is 18.904774061782% of 78.34