0.5 is what percent of 9.6203 - 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 9.6203 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 9.6203, so we can write it down as 100%=9.6203.
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%=9.6203
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%=9.6203/0.5
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 9.6203

100%/x%=9.6203/0.5
(100/x)*x=(9.6203/0.5)*x       - we multiply both sides of the equation by x
100=19.2406*x       - we divide both sides of the equation by (19.2406) to get x
100/19.2406=x
5.197343118198=x
x=5.197343118198

now we have:
0.5 is 5.197343118198% of 9.6203