37000.5 is what percent of 513731 - 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 513731 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 513731, so we can write it down as 100%=513731.
4. We know, that x% equals 37000.5 of the output value, so we can write it down as x%=37000.5.
5. Now we have two simple equations:
1) 100%=513731
2) x%=37000.5
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%=513731/37000.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37000.5 is what percent of 513731

100%/x%=513731/37000.5
(100/x)*x=(513731/37000.5)*x       - we multiply both sides of the equation by x
100=13.884433994135*x       - we divide both sides of the equation by (13.884433994135) to get x
100/13.884433994135=x
7.2023101584292=x
x=7.2023101584292

now we have:
37000.5 is 7.2023101584292% of 513731