750.92 is what percent of 775.78 - 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 775.78 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 775.78, so we can write it down as 100%=775.78.
4. We know, that x% equals 750.92 of the output value, so we can write it down as x%=750.92.
5. Now we have two simple equations:
1) 100%=775.78
2) x%=750.92
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%=775.78/750.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 750.92 is what percent of 775.78

100%/x%=775.78/750.92
(100/x)*x=(775.78/750.92)*x       - we multiply both sides of the equation by x
100=1.0331060565706*x       - we divide both sides of the equation by (1.0331060565706) to get x
100/1.0331060565706=x
96.795483255562=x
x=96.795483255562

now we have:
750.92 is 96.795483255562% of 775.78