6.4 is what percent of 24.16 - 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 24.16 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 24.16, so we can write it down as 100%=24.16.
4. We know, that x% equals 6.4 of the output value, so we can write it down as x%=6.4.
5. Now we have two simple equations:
1) 100%=24.16
2) x%=6.4
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%=24.16/6.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.4 is what percent of 24.16

100%/x%=24.16/6.4
(100/x)*x=(24.16/6.4)*x       - we multiply both sides of the equation by x
100=3.775*x       - we divide both sides of the equation by (3.775) to get x
100/3.775=x
26.490066225166=x
x=26.490066225166

now we have:
6.4 is 26.490066225166% of 24.16