38 is what percent of 188.9 - 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 188.9 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 188.9, so we can write it down as 100%=188.9.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=188.9
2) x%=38
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%=188.9/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 188.9

100%/x%=188.9/38
(100/x)*x=(188.9/38)*x       - we multiply both sides of the equation by x
100=4.9710526315789*x       - we divide both sides of the equation by (4.9710526315789) to get x
100/4.9710526315789=x
20.116463737427=x
x=20.116463737427

now we have:
38 is 20.116463737427% of 188.9