38.36 is what percent of 190 - 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 190 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 190, so we can write it down as 100%=190.
4. We know, that x% equals 38.36 of the output value, so we can write it down as x%=38.36.
5. Now we have two simple equations:
1) 100%=190
2) x%=38.36
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%=190/38.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.36 is what percent of 190

100%/x%=190/38.36
(100/x)*x=(190/38.36)*x       - we multiply both sides of the equation by x
100=4.9530761209593*x       - we divide both sides of the equation by (4.9530761209593) to get x
100/4.9530761209593=x
20.189473684211=x
x=20.189473684211

now we have:
38.36 is 20.189473684211% of 190