661.2 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 661.2 of the output value, so we can write it down as x%=661.2.
5. Now we have two simple equations:
1) 100%=8000
2) x%=661.2
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%=8000/661.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 661.2 is what percent of 8000

100%/x%=8000/661.2
(100/x)*x=(8000/661.2)*x       - we multiply both sides of the equation by x
100=12.099213551119*x       - we divide both sides of the equation by (12.099213551119) to get x
100/12.099213551119=x
8.265=x
x=8.265

now we have:
661.2 is 8.265% of 8000