0.24 is what percent of 43.86 - 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 43.86 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 43.86, so we can write it down as 100%=43.86.
4. We know, that x% equals 0.24 of the output value, so we can write it down as x%=0.24.
5. Now we have two simple equations:
1) 100%=43.86
2) x%=0.24
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%=43.86/0.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.24 is what percent of 43.86

100%/x%=43.86/0.24
(100/x)*x=(43.86/0.24)*x       - we multiply both sides of the equation by x
100=182.75*x       - we divide both sides of the equation by (182.75) to get x
100/182.75=x
0.54719562243502=x
x=0.54719562243502

now we have:
0.24 is 0.54719562243502% of 43.86