0.5 is what percent of 152.4 - 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 152.4 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 152.4, so we can write it down as 100%=152.4.
4. We know, that x% equals 0.5 of the output value, so we can write it down as x%=0.5.
5. Now we have two simple equations:
1) 100%=152.4
2) x%=0.5
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%=152.4/0.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.5 is what percent of 152.4

100%/x%=152.4/0.5
(100/x)*x=(152.4/0.5)*x       - we multiply both sides of the equation by x
100=304.8*x       - we divide both sides of the equation by (304.8) to get x
100/304.8=x
0.32808398950131=x
x=0.32808398950131

now we have:
0.5 is 0.32808398950131% of 152.4