55.9 is what percent of 508.6 - 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 508.6 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 508.6, so we can write it down as 100%=508.6.
4. We know, that x% equals 55.9 of the output value, so we can write it down as x%=55.9.
5. Now we have two simple equations:
1) 100%=508.6
2) x%=55.9
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%=508.6/55.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.9 is what percent of 508.6

100%/x%=508.6/55.9
(100/x)*x=(508.6/55.9)*x       - we multiply both sides of the equation by x
100=9.0983899821109*x       - we divide both sides of the equation by (9.0983899821109) to get x
100/9.0983899821109=x
10.990955564294=x
x=10.990955564294

now we have:
55.9 is 10.990955564294% of 508.6