7.92 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
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%=55
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%=55/7.92
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 55

100%/x%=55/7.92
(100/x)*x=(55/7.92)*x       - we multiply both sides of the equation by x
100=6.9444444444444*x       - we divide both sides of the equation by (6.9444444444444) to get x
100/6.9444444444444=x
14.4=x
x=14.4

now we have:
7.92 is 14.4% of 55