1006.24 is what percent of 2530.84 - 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 2530.84 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 2530.84, so we can write it down as 100%=2530.84.
4. We know, that x% equals 1006.24 of the output value, so we can write it down as x%=1006.24.
5. Now we have two simple equations:
1) 100%=2530.84
2) x%=1006.24
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%=2530.84/1006.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1006.24 is what percent of 2530.84

100%/x%=2530.84/1006.24
(100/x)*x=(2530.84/1006.24)*x       - we multiply both sides of the equation by x
100=2.5151454921291*x       - we divide both sides of the equation by (2.5151454921291) to get x
100/2.5151454921291=x
39.759131355597=x
x=39.759131355597

now we have:
1006.24 is 39.759131355597% of 2530.84