56.4 is what percent of 752 - 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 752 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 752, so we can write it down as 100%=752.
4. We know, that x% equals 56.4 of the output value, so we can write it down as x%=56.4.
5. Now we have two simple equations:
1) 100%=752
2) x%=56.4
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%=752/56.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.4 is what percent of 752

100%/x%=752/56.4
(100/x)*x=(752/56.4)*x       - we multiply both sides of the equation by x
100=13.333333333333*x       - we divide both sides of the equation by (13.333333333333) to get x
100/13.333333333333=x
7.5=x
x=7.5

now we have:
56.4 is 7.5% of 752