28.37 is what percent of 524.41 - 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 524.41 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 524.41, so we can write it down as 100%=524.41.
4. We know, that x% equals 28.37 of the output value, so we can write it down as x%=28.37.
5. Now we have two simple equations:
1) 100%=524.41
2) x%=28.37
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%=524.41/28.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.37 is what percent of 524.41

100%/x%=524.41/28.37
(100/x)*x=(524.41/28.37)*x       - we multiply both sides of the equation by x
100=18.484666901657*x       - we divide both sides of the equation by (18.484666901657) to get x
100/18.484666901657=x
5.4098892088252=x
x=5.4098892088252

now we have:
28.37 is 5.4098892088252% of 524.41