0.5 is what percent of 501.75 - 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 501.75 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 501.75, so we can write it down as 100%=501.75.
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%=501.75
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%=501.75/0.5
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 501.75

100%/x%=501.75/0.5
(100/x)*x=(501.75/0.5)*x       - we multiply both sides of the equation by x
100=1003.5*x       - we divide both sides of the equation by (1003.5) to get x
100/1003.5=x
0.099651220727454=x
x=0.099651220727454

now we have:
0.5 is 0.099651220727454% of 501.75