56.4 is what percent of 115 - 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 115 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 115, so we can write it down as 100%=115.
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%=115
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%=115/56.4
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 115

100%/x%=115/56.4
(100/x)*x=(115/56.4)*x       - we multiply both sides of the equation by x
100=2.0390070921986*x       - we divide both sides of the equation by (2.0390070921986) to get x
100/2.0390070921986=x
49.04347826087=x
x=49.04347826087

now we have:
56.4 is 49.04347826087% of 115