7.27 is what percent of 38 - 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 38 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 38, so we can write it down as 100%=38.
4. We know, that x% equals 7.27 of the output value, so we can write it down as x%=7.27.
5. Now we have two simple equations:
1) 100%=38
2) x%=7.27
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%=38/7.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.27 is what percent of 38

100%/x%=38/7.27
(100/x)*x=(38/7.27)*x       - we multiply both sides of the equation by x
100=5.2269601100413*x       - we divide both sides of the equation by (5.2269601100413) to get x
100/5.2269601100413=x
19.131578947368=x
x=19.131578947368

now we have:
7.27 is 19.131578947368% of 38