508.5 is what percent of 1364 - 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 1364 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 1364, so we can write it down as 100%=1364.
4. We know, that x% equals 508.5 of the output value, so we can write it down as x%=508.5.
5. Now we have two simple equations:
1) 100%=1364
2) x%=508.5
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%=1364/508.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.5 is what percent of 1364

100%/x%=1364/508.5
(100/x)*x=(1364/508.5)*x       - we multiply both sides of the equation by x
100=2.6823992133727*x       - we divide both sides of the equation by (2.6823992133727) to get x
100/2.6823992133727=x
37.280058651026=x
x=37.280058651026

now we have:
508.5 is 37.280058651026% of 1364