55.27 is what percent of 519.55 - 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 519.55 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 519.55, so we can write it down as 100%=519.55.
4. We know, that x% equals 55.27 of the output value, so we can write it down as x%=55.27.
5. Now we have two simple equations:
1) 100%=519.55
2) x%=55.27
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%=519.55/55.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.27 is what percent of 519.55

100%/x%=519.55/55.27
(100/x)*x=(519.55/55.27)*x       - we multiply both sides of the equation by x
100=9.4002171159761*x       - we divide both sides of the equation by (9.4002171159761) to get x
100/9.4002171159761=x
10.638052160524=x
x=10.638052160524

now we have:
55.27 is 10.638052160524% of 519.55