752.1 is what percent of 778.38 - 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 778.38 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 778.38, so we can write it down as 100%=778.38.
4. We know, that x% equals 752.1 of the output value, so we can write it down as x%=752.1.
5. Now we have two simple equations:
1) 100%=778.38
2) x%=752.1
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%=778.38/752.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.1 is what percent of 778.38

100%/x%=778.38/752.1
(100/x)*x=(778.38/752.1)*x       - we multiply both sides of the equation by x
100=1.0349421619465*x       - we divide both sides of the equation by (1.0349421619465) to get x
100/1.0349421619465=x
96.62375703384=x
x=96.62375703384

now we have:
752.1 is 96.62375703384% of 778.38