23.86 is what percent of 312 - 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 312 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 312, so we can write it down as 100%=312.
4. We know, that x% equals 23.86 of the output value, so we can write it down as x%=23.86.
5. Now we have two simple equations:
1) 100%=312
2) x%=23.86
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%=312/23.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.86 is what percent of 312

100%/x%=312/23.86
(100/x)*x=(312/23.86)*x       - we multiply both sides of the equation by x
100=13.076278290025*x       - we divide both sides of the equation by (13.076278290025) to get x
100/13.076278290025=x
7.6474358974359=x
x=7.6474358974359

now we have:
23.86 is 7.6474358974359% of 312