24.96 is what percent of 38166 - 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 38166 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 38166, so we can write it down as 100%=38166.
4. We know, that x% equals 24.96 of the output value, so we can write it down as x%=24.96.
5. Now we have two simple equations:
1) 100%=38166
2) x%=24.96
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%=38166/24.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.96 is what percent of 38166

100%/x%=38166/24.96
(100/x)*x=(38166/24.96)*x       - we multiply both sides of the equation by x
100=1529.0865384615*x       - we divide both sides of the equation by (1529.0865384615) to get x
100/1529.0865384615=x
0.06539852224493=x
x=0.06539852224493

now we have:
24.96 is 0.06539852224493% of 38166