7.92 is what percent of 21.27 - 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 21.27 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 21.27, so we can write it down as 100%=21.27.
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%=21.27
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%=21.27/7.92
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 21.27

100%/x%=21.27/7.92
(100/x)*x=(21.27/7.92)*x       - we multiply both sides of the equation by x
100=2.6856060606061*x       - we divide both sides of the equation by (2.6856060606061) to get x
100/2.6856060606061=x
37.235543018336=x
x=37.235543018336

now we have:
7.92 is 37.235543018336% of 21.27