56.71 is what percent of 447.85 - 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 447.85 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 447.85, so we can write it down as 100%=447.85.
4. We know, that x% equals 56.71 of the output value, so we can write it down as x%=56.71.
5. Now we have two simple equations:
1) 100%=447.85
2) x%=56.71
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%=447.85/56.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.71 is what percent of 447.85

100%/x%=447.85/56.71
(100/x)*x=(447.85/56.71)*x       - we multiply both sides of the equation by x
100=7.8971962616822*x       - we divide both sides of the equation by (7.8971962616822) to get x
100/7.8971962616822=x
12.662721893491=x
x=12.662721893491

now we have:
56.71 is 12.662721893491% of 447.85