55.45 is what percent of 920.28 - 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 920.28 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 920.28, so we can write it down as 100%=920.28.
4. We know, that x% equals 55.45 of the output value, so we can write it down as x%=55.45.
5. Now we have two simple equations:
1) 100%=920.28
2) x%=55.45
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%=920.28/55.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.45 is what percent of 920.28

100%/x%=920.28/55.45
(100/x)*x=(920.28/55.45)*x       - we multiply both sides of the equation by x
100=16.59657348963*x       - we divide both sides of the equation by (16.59657348963) to get x
100/16.59657348963=x
6.0253401138784=x
x=6.0253401138784

now we have:
55.45 is 6.0253401138784% of 920.28