42.86 is what percent of 24335 - 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 24335 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 24335, so we can write it down as 100%=24335.
4. We know, that x% equals 42.86 of the output value, so we can write it down as x%=42.86.
5. Now we have two simple equations:
1) 100%=24335
2) x%=42.86
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%=24335/42.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.86 is what percent of 24335

100%/x%=24335/42.86
(100/x)*x=(24335/42.86)*x       - we multiply both sides of the equation by x
100=567.77881474568*x       - we divide both sides of the equation by (567.77881474568) to get x
100/567.77881474568=x
0.17612492295048=x
x=0.17612492295048

now we have:
42.86 is 0.17612492295048% of 24335