7.92 is what percent of 39.61 - 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 39.61 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 39.61, so we can write it down as 100%=39.61.
4. We know, that x% equals 7.92 of the output value, so we can write it down as x%=7.92.
5. Now we have two simple equations:
1) 100%=39.61
2) x%=7.92
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%=39.61/7.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.92 is what percent of 39.61

100%/x%=39.61/7.92
(100/x)*x=(39.61/7.92)*x       - we multiply both sides of the equation by x
100=5.0012626262626*x       - we divide both sides of the equation by (5.0012626262626) to get x
100/5.0012626262626=x
19.994950770008=x
x=19.994950770008

now we have:
7.92 is 19.994950770008% of 39.61