7032.68 is what percent of 8075 - 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 8075 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 8075, so we can write it down as 100%=8075.
4. We know, that x% equals 7032.68 of the output value, so we can write it down as x%=7032.68.
5. Now we have two simple equations:
1) 100%=8075
2) x%=7032.68
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%=8075/7032.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7032.68 is what percent of 8075

100%/x%=8075/7032.68
(100/x)*x=(8075/7032.68)*x       - we multiply both sides of the equation by x
100=1.1482109238583*x       - we divide both sides of the equation by (1.1482109238583) to get x
100/1.1482109238583=x
87.092012383901=x
x=87.092012383901

now we have:
7032.68 is 87.092012383901% of 8075