7007.25 is what percent of 7700.75 - 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 7700.75 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 7700.75, so we can write it down as 100%=7700.75.
4. We know, that x% equals 7007.25 of the output value, so we can write it down as x%=7007.25.
5. Now we have two simple equations:
1) 100%=7700.75
2) x%=7007.25
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%=7700.75/7007.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7007.25 is what percent of 7700.75

100%/x%=7700.75/7007.25
(100/x)*x=(7700.75/7007.25)*x       - we multiply both sides of the equation by x
100=1.0989689250419*x       - we divide both sides of the equation by (1.0989689250419) to get x
100/1.0989689250419=x
90.994383663929=x
x=90.994383663929

now we have:
7007.25 is 90.994383663929% of 7700.75