What is 18.72 percent of 83 - 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 83 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 83 is 100%, so we can write it down as 83=100%.
4. We know, that x is 18.72% of the output value, so we can write it down as x=18.72%.
5. Now we have two simple equations:
1) 83=100%
2) x=18.72%
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:
83/x=100%/18.72%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 18.72% of 83

83/x=100/18.72
(83/x)*x=(100/18.72)*x       - we multiply both sides of the equation by x
83=5.3418803418803*x       - we divide both sides of the equation by (5.3418803418803) to get x
83/5.3418803418803=x
15.5376=x
x=15.5376

now we have:
18.72% of 83=15.5376