56.88 is what percent of 7800 - 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 7800 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 7800, so we can write it down as 100%=7800.
4. We know, that x% equals 56.88 of the output value, so we can write it down as x%=56.88.
5. Now we have two simple equations:
1) 100%=7800
2) x%=56.88
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%=7800/56.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.88 is what percent of 7800

100%/x%=7800/56.88
(100/x)*x=(7800/56.88)*x       - we multiply both sides of the equation by x
100=137.13080168776*x       - we divide both sides of the equation by (137.13080168776) to get x
100/137.13080168776=x
0.72923076923077=x
x=0.72923076923077

now we have:
56.88 is 0.72923076923077% of 7800