502.76 is what percent of 3111.54 - 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 3111.54 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 3111.54, so we can write it down as 100%=3111.54.
4. We know, that x% equals 502.76 of the output value, so we can write it down as x%=502.76.
5. Now we have two simple equations:
1) 100%=3111.54
2) x%=502.76
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%=3111.54/502.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.76 is what percent of 3111.54

100%/x%=3111.54/502.76
(100/x)*x=(3111.54/502.76)*x       - we multiply both sides of the equation by x
100=6.188917177182*x       - we divide both sides of the equation by (6.188917177182) to get x
100/6.188917177182=x
16.157915373095=x
x=16.157915373095

now we have:
502.76 is 16.157915373095% of 3111.54