776.75 is what percent of 1044 - 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 1044 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 1044, so we can write it down as 100%=1044.
4. We know, that x% equals 776.75 of the output value, so we can write it down as x%=776.75.
5. Now we have two simple equations:
1) 100%=1044
2) x%=776.75
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%=1044/776.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 776.75 is what percent of 1044

100%/x%=1044/776.75
(100/x)*x=(1044/776.75)*x       - we multiply both sides of the equation by x
100=1.3440617959446*x       - we divide both sides of the equation by (1.3440617959446) to get x
100/1.3440617959446=x
74.401340996169=x
x=74.401340996169

now we have:
776.75 is 74.401340996169% of 1044