30.55 is what percent of 52.37 - 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 52.37 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 52.37, so we can write it down as 100%=52.37.
4. We know, that x% equals 30.55 of the output value, so we can write it down as x%=30.55.
5. Now we have two simple equations:
1) 100%=52.37
2) x%=30.55
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%=52.37/30.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.55 is what percent of 52.37

100%/x%=52.37/30.55
(100/x)*x=(52.37/30.55)*x       - we multiply both sides of the equation by x
100=1.7142389525368*x       - we divide both sides of the equation by (1.7142389525368) to get x
100/1.7142389525368=x
58.334924575138=x
x=58.334924575138

now we have:
30.55 is 58.334924575138% of 52.37