38.72 is what percent of 199.1 - 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 199.1 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 199.1, so we can write it down as 100%=199.1.
4. We know, that x% equals 38.72 of the output value, so we can write it down as x%=38.72.
5. Now we have two simple equations:
1) 100%=199.1
2) x%=38.72
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:
100%/x%=199.1/38.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.72 is what percent of 199.1

100%/x%=199.1/38.72
(100/x)*x=(199.1/38.72)*x       - we multiply both sides of the equation by x
100=5.1420454545455*x       - we divide both sides of the equation by (5.1420454545455) to get x
100/5.1420454545455=x
19.447513812155=x
x=19.447513812155

now we have:
38.72 is 19.447513812155% of 199.1