5.63 is what percent of 24.37 - 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 24.37 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 24.37, so we can write it down as 100%=24.37.
4. We know, that x% equals 5.63 of the output value, so we can write it down as x%=5.63.
5. Now we have two simple equations:
1) 100%=24.37
2) x%=5.63
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%=24.37/5.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.63 is what percent of 24.37

100%/x%=24.37/5.63
(100/x)*x=(24.37/5.63)*x       - we multiply both sides of the equation by x
100=4.3285968028419*x       - we divide both sides of the equation by (4.3285968028419) to get x
100/4.3285968028419=x
23.102174805088=x
x=23.102174805088

now we have:
5.63 is 23.102174805088% of 24.37