29.39 is what percent of 56.56 - 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 56.56 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 56.56, so we can write it down as 100%=56.56.
4. We know, that x% equals 29.39 of the output value, so we can write it down as x%=29.39.
5. Now we have two simple equations:
1) 100%=56.56
2) x%=29.39
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%=56.56/29.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.39 is what percent of 56.56

100%/x%=56.56/29.39
(100/x)*x=(56.56/29.39)*x       - we multiply both sides of the equation by x
100=1.9244641034365*x       - we divide both sides of the equation by (1.9244641034365) to get x
100/1.9244641034365=x
51.962517680339=x
x=51.962517680339

now we have:
29.39 is 51.962517680339% of 56.56