24 is what percent of 4814 - 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 4814 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 4814, so we can write it down as 100%=4814.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=4814
2) x%=24
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%=4814/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4814

100%/x%=4814/24
(100/x)*x=(4814/24)*x       - we multiply both sides of the equation by x
100=200.58333333333*x       - we divide both sides of the equation by (200.58333333333) to get x
100/200.58333333333=x
0.49854590776901=x
x=0.49854590776901

now we have:
24 is 0.49854590776901% of 4814