24.55 is what percent of 63.11 - 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 63.11 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 63.11, so we can write it down as 100%=63.11.
4. We know, that x% equals 24.55 of the output value, so we can write it down as x%=24.55.
5. Now we have two simple equations:
1) 100%=63.11
2) x%=24.55
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%=63.11/24.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.55 is what percent of 63.11

100%/x%=63.11/24.55
(100/x)*x=(63.11/24.55)*x       - we multiply both sides of the equation by x
100=2.5706720977597*x       - we divide both sides of the equation by (2.5706720977597) to get x
100/2.5706720977597=x
38.900332752337=x
x=38.900332752337

now we have:
24.55 is 38.900332752337% of 63.11