19.9 is what percent of 102.8 - 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 102.8 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 102.8, so we can write it down as 100%=102.8.
4. We know, that x% equals 19.9 of the output value, so we can write it down as x%=19.9.
5. Now we have two simple equations:
1) 100%=102.8
2) x%=19.9
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%=102.8/19.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.9 is what percent of 102.8

100%/x%=102.8/19.9
(100/x)*x=(102.8/19.9)*x       - we multiply both sides of the equation by x
100=5.1658291457286*x       - we divide both sides of the equation by (5.1658291457286) to get x
100/5.1658291457286=x
19.357976653696=x
x=19.357976653696

now we have:
19.9 is 19.357976653696% of 102.8