508.82 is what percent of 2544.82 - 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 2544.82 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 2544.82, so we can write it down as 100%=2544.82.
4. We know, that x% equals 508.82 of the output value, so we can write it down as x%=508.82.
5. Now we have two simple equations:
1) 100%=2544.82
2) x%=508.82
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%=2544.82/508.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.82 is what percent of 2544.82

100%/x%=2544.82/508.82
(100/x)*x=(2544.82/508.82)*x       - we multiply both sides of the equation by x
100=5.001415038717*x       - we divide both sides of the equation by (5.001415038717) to get x
100/5.001415038717=x
19.994341446546=x
x=19.994341446546

now we have:
508.82 is 19.994341446546% of 2544.82