722.82 is what percent of 750 - 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 750 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 750, so we can write it down as 100%=750.
4. We know, that x% equals 722.82 of the output value, so we can write it down as x%=722.82.
5. Now we have two simple equations:
1) 100%=750
2) x%=722.82
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%=750/722.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 722.82 is what percent of 750

100%/x%=750/722.82
(100/x)*x=(750/722.82)*x       - we multiply both sides of the equation by x
100=1.0376027226695*x       - we divide both sides of the equation by (1.0376027226695) to get x
100/1.0376027226695=x
96.376=x
x=96.376

now we have:
722.82 is 96.376% of 750