509.66 is what percent of 25253.97 - 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 25253.97 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 25253.97, so we can write it down as 100%=25253.97.
4. We know, that x% equals 509.66 of the output value, so we can write it down as x%=509.66.
5. Now we have two simple equations:
1) 100%=25253.97
2) x%=509.66
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%=25253.97/509.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.66 is what percent of 25253.97

100%/x%=25253.97/509.66
(100/x)*x=(25253.97/509.66)*x       - we multiply both sides of the equation by x
100=49.550621983283*x       - we divide both sides of the equation by (49.550621983283) to get x
100/49.550621983283=x
2.0181381382808=x
x=2.0181381382808

now we have:
509.66 is 2.0181381382808% of 25253.97