6776.58 is what percent of 88298.64 - 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 88298.64 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 88298.64, so we can write it down as 100%=88298.64.
4. We know, that x% equals 6776.58 of the output value, so we can write it down as x%=6776.58.
5. Now we have two simple equations:
1) 100%=88298.64
2) x%=6776.58
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%=88298.64/6776.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6776.58 is what percent of 88298.64

100%/x%=88298.64/6776.58
(100/x)*x=(88298.64/6776.58)*x       - we multiply both sides of the equation by x
100=13.029970870262*x       - we divide both sides of the equation by (13.029970870262) to get x
100/13.029970870262=x
7.6746142409441=x
x=7.6746142409441

now we have:
6776.58 is 7.6746142409441% of 88298.64