509.65 is what percent of 130000 - 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 130000 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 130000, so we can write it down as 100%=130000.
4. We know, that x% equals 509.65 of the output value, so we can write it down as x%=509.65.
5. Now we have two simple equations:
1) 100%=130000
2) x%=509.65
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%=130000/509.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.65 is what percent of 130000

100%/x%=130000/509.65
(100/x)*x=(130000/509.65)*x       - we multiply both sides of the equation by x
100=255.07701363681*x       - we divide both sides of the equation by (255.07701363681) to get x
100/255.07701363681=x
0.39203846153846=x
x=0.39203846153846

now we have:
509.65 is 0.39203846153846% of 130000