24 is what percent of 9456 - 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 9456 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 9456, so we can write it down as 100%=9456.
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%=9456
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%=9456/24
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 9456

100%/x%=9456/24
(100/x)*x=(9456/24)*x       - we multiply both sides of the equation by x
100=394*x       - we divide both sides of the equation by (394) to get x
100/394=x
0.25380710659898=x
x=0.25380710659898

now we have:
24 is 0.25380710659898% of 9456