7699.54 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 7699.54 of the output value, so we can write it down as x%=7699.54.
5. Now we have two simple equations:
1) 100%=12000
2) x%=7699.54
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%=12000/7699.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7699.54 is what percent of 12000

100%/x%=12000/7699.54
(100/x)*x=(12000/7699.54)*x       - we multiply both sides of the equation by x
100=1.5585346657073*x       - we divide both sides of the equation by (1.5585346657073) to get x
100/1.5585346657073=x
64.162833333333=x
x=64.162833333333

now we have:
7699.54 is 64.162833333333% of 12000