19.98 is what percent of 500 - 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 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, so we can write it down as 100%=500.
4. We know, that x% equals 19.98 of the output value, so we can write it down as x%=19.98.
5. Now we have two simple equations:
1) 100%=500
2) x%=19.98
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%=500/19.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.98 is what percent of 500

100%/x%=500/19.98
(100/x)*x=(500/19.98)*x       - we multiply both sides of the equation by x
100=25.025025025025*x       - we divide both sides of the equation by (25.025025025025) to get x
100/25.025025025025=x
3.996=x
x=3.996

now we have:
19.98 is 3.996% of 500