0.5 is what percent of 5.003 - 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 5.003 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 5.003, so we can write it down as 100%=5.003.
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%=5.003
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%=5.003/0.5
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 5.003

100%/x%=5.003/0.5
(100/x)*x=(5.003/0.5)*x       - we multiply both sides of the equation by x
100=10.006*x       - we divide both sides of the equation by (10.006) to get x
100/10.006=x
9.9940035978413=x
x=9.9940035978413

now we have:
0.5 is 9.9940035978413% of 5.003