55.56 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 55.56 of the output value, so we can write it down as x%=55.56.
5. Now we have two simple equations:
1) 100%=500
2) x%=55.56
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%=500/55.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.56 is what percent of 500

100%/x%=500/55.56
(100/x)*x=(500/55.56)*x       - we multiply both sides of the equation by x
100=8.9992800575954*x       - we divide both sides of the equation by (8.9992800575954) to get x
100/8.9992800575954=x
11.112=x
x=11.112

now we have:
55.56 is 11.112% of 500