100.08 is what percent of 500.38 - 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 500.38 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 500.38, so we can write it down as 100%=500.38.
4. We know, that x% equals 100.08 of the output value, so we can write it down as x%=100.08.
5. Now we have two simple equations:
1) 100%=500.38
2) x%=100.08
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%=500.38/100.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.08 is what percent of 500.38

100%/x%=500.38/100.08
(100/x)*x=(500.38/100.08)*x       - we multiply both sides of the equation by x
100=4.9998001598721*x       - we divide both sides of the equation by (4.9998001598721) to get x
100/4.9998001598721=x
20.000799392462=x
x=20.000799392462

now we have:
100.08 is 20.000799392462% of 500.38