6817.5 is what percent of 8825 - 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 8825 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 8825, so we can write it down as 100%=8825.
4. We know, that x% equals 6817.5 of the output value, so we can write it down as x%=6817.5.
5. Now we have two simple equations:
1) 100%=8825
2) x%=6817.5
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%=8825/6817.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6817.5 is what percent of 8825

100%/x%=8825/6817.5
(100/x)*x=(8825/6817.5)*x       - we multiply both sides of the equation by x
100=1.2944627796113*x       - we divide both sides of the equation by (1.2944627796113) to get x
100/1.2944627796113=x
77.252124645892=x
x=77.252124645892

now we have:
6817.5 is 77.252124645892% of 8825