7.95 is what percent of 38.92 - 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 38.92 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 38.92, so we can write it down as 100%=38.92.
4. We know, that x% equals 7.95 of the output value, so we can write it down as x%=7.95.
5. Now we have two simple equations:
1) 100%=38.92
2) x%=7.95
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%=38.92/7.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.95 is what percent of 38.92

100%/x%=38.92/7.95
(100/x)*x=(38.92/7.95)*x       - we multiply both sides of the equation by x
100=4.8955974842767*x       - we divide both sides of the equation by (4.8955974842767) to get x
100/4.8955974842767=x
20.426515930113=x
x=20.426515930113

now we have:
7.95 is 20.426515930113% of 38.92