24.36 is what percent of 59.64 - 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 59.64 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 59.64, so we can write it down as 100%=59.64.
4. We know, that x% equals 24.36 of the output value, so we can write it down as x%=24.36.
5. Now we have two simple equations:
1) 100%=59.64
2) x%=24.36
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%=59.64/24.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.36 is what percent of 59.64

100%/x%=59.64/24.36
(100/x)*x=(59.64/24.36)*x       - we multiply both sides of the equation by x
100=2.448275862069*x       - we divide both sides of the equation by (2.448275862069) to get x
100/2.448275862069=x
40.845070422535=x
x=40.845070422535

now we have:
24.36 is 40.845070422535% of 59.64