23.81 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 23.81 of the output value, so we can write it down as x%=23.81.
5. Now we have two simple equations:
1) 100%=152
2) x%=23.81
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%=152/23.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.81 is what percent of 152

100%/x%=152/23.81
(100/x)*x=(152/23.81)*x       - we multiply both sides of the equation by x
100=6.3838723225535*x       - we divide both sides of the equation by (6.3838723225535) to get x
100/6.3838723225535=x
15.664473684211=x
x=15.664473684211

now we have:
23.81 is 15.664473684211% of 152