207.09 is what percent of 7988.64 - 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 7988.64 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 7988.64, so we can write it down as 100%=7988.64.
4. We know, that x% equals 207.09 of the output value, so we can write it down as x%=207.09.
5. Now we have two simple equations:
1) 100%=7988.64
2) x%=207.09
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%=7988.64/207.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 207.09 is what percent of 7988.64

100%/x%=7988.64/207.09
(100/x)*x=(7988.64/207.09)*x       - we multiply both sides of the equation by x
100=38.575691728234*x       - we divide both sides of the equation by (38.575691728234) to get x
100/38.575691728234=x
2.592306074626=x
x=2.592306074626

now we have:
207.09 is 2.592306074626% of 7988.64