75.78 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 75.78 of the output value, so we can write it down as x%=75.78.
5. Now we have two simple equations:
1) 100%=750
2) x%=75.78
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%=750/75.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.78 is what percent of 750

100%/x%=750/75.78
(100/x)*x=(750/75.78)*x       - we multiply both sides of the equation by x
100=9.8970704671417*x       - we divide both sides of the equation by (9.8970704671417) to get x
100/9.8970704671417=x
10.104=x
x=10.104

now we have:
75.78 is 10.104% of 750