0.5 is what percent of 6.39 - 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 6.39 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 6.39, so we can write it down as 100%=6.39.
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%=6.39
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%=6.39/0.5
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 6.39

100%/x%=6.39/0.5
(100/x)*x=(6.39/0.5)*x       - we multiply both sides of the equation by x
100=12.78*x       - we divide both sides of the equation by (12.78) to get x
100/12.78=x
7.8247261345853=x
x=7.8247261345853

now we have:
0.5 is 7.8247261345853% of 6.39