505.68 is what percent of 2439.52 - 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 2439.52 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 2439.52, so we can write it down as 100%=2439.52.
4. We know, that x% equals 505.68 of the output value, so we can write it down as x%=505.68.
5. Now we have two simple equations:
1) 100%=2439.52
2) x%=505.68
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%=2439.52/505.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.68 is what percent of 2439.52

100%/x%=2439.52/505.68
(100/x)*x=(2439.52/505.68)*x       - we multiply both sides of the equation by x
100=4.8242366714128*x       - we divide both sides of the equation by (4.8242366714128) to get x
100/4.8242366714128=x
20.728667934676=x
x=20.728667934676

now we have:
505.68 is 20.728667934676% of 2439.52