7822.68 is what percent of 8000 - 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 8000 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 8000, so we can write it down as 100%=8000.
4. We know, that x% equals 7822.68 of the output value, so we can write it down as x%=7822.68.
5. Now we have two simple equations:
1) 100%=8000
2) x%=7822.68
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%=8000/7822.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7822.68 is what percent of 8000

100%/x%=8000/7822.68
(100/x)*x=(8000/7822.68)*x       - we multiply both sides of the equation by x
100=1.0226674234406*x       - we divide both sides of the equation by (1.0226674234406) to get x
100/1.0226674234406=x
97.7835=x
x=97.7835

now we have:
7822.68 is 97.7835% of 8000