6522.5 is what percent of 20872.5 - 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 20872.5 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 20872.5, so we can write it down as 100%=20872.5.
4. We know, that x% equals 6522.5 of the output value, so we can write it down as x%=6522.5.
5. Now we have two simple equations:
1) 100%=20872.5
2) x%=6522.5
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%=20872.5/6522.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6522.5 is what percent of 20872.5

100%/x%=20872.5/6522.5
(100/x)*x=(20872.5/6522.5)*x       - we multiply both sides of the equation by x
100=3.2000766577233*x       - we divide both sides of the equation by (3.2000766577233) to get x
100/3.2000766577233=x
31.249251407354=x
x=31.249251407354

now we have:
6522.5 is 31.249251407354% of 20872.5