7.95 is what percent of 20.8 - 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 20.8 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 20.8, so we can write it down as 100%=20.8.
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%=20.8
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%=20.8/7.95
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 20.8

100%/x%=20.8/7.95
(100/x)*x=(20.8/7.95)*x       - we multiply both sides of the equation by x
100=2.6163522012579*x       - we divide both sides of the equation by (2.6163522012579) to get x
100/2.6163522012579=x
38.221153846154=x
x=38.221153846154

now we have:
7.95 is 38.221153846154% of 20.8