55.02 is what percent of 392.97 - 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 392.97 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 392.97, so we can write it down as 100%=392.97.
4. We know, that x% equals 55.02 of the output value, so we can write it down as x%=55.02.
5. Now we have two simple equations:
1) 100%=392.97
2) x%=55.02
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%=392.97/55.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.02 is what percent of 392.97

100%/x%=392.97/55.02
(100/x)*x=(392.97/55.02)*x       - we multiply both sides of the equation by x
100=7.1423118865867*x       - we divide both sides of the equation by (7.1423118865867) to get x
100/7.1423118865867=x
14.001068783877=x
x=14.001068783877

now we have:
55.02 is 14.001068783877% of 392.97