52.7 is what percent of 56.4 - 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 56.4 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 56.4, so we can write it down as 100%=56.4.
4. We know, that x% equals 52.7 of the output value, so we can write it down as x%=52.7.
5. Now we have two simple equations:
1) 100%=56.4
2) x%=52.7
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%=56.4/52.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.7 is what percent of 56.4

100%/x%=56.4/52.7
(100/x)*x=(56.4/52.7)*x       - we multiply both sides of the equation by x
100=1.0702087286528*x       - we divide both sides of the equation by (1.0702087286528) to get x
100/1.0702087286528=x
93.439716312057=x
x=93.439716312057

now we have:
52.7 is 93.439716312057% of 56.4