6853.48 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 6853.48 of the output value, so we can write it down as x%=6853.48.
5. Now we have two simple equations:
1) 100%=8000
2) x%=6853.48
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%=8000/6853.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6853.48 is what percent of 8000

100%/x%=8000/6853.48
(100/x)*x=(8000/6853.48)*x       - we multiply both sides of the equation by x
100=1.1672901941787*x       - we divide both sides of the equation by (1.1672901941787) to get x
100/1.1672901941787=x
85.6685=x
x=85.6685

now we have:
6853.48 is 85.6685% of 8000