198.42 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 198.42 of the output value, so we can write it down as x%=198.42.
5. Now we have two simple equations:
1) 100%=500
2) x%=198.42
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%=500/198.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.42 is what percent of 500

100%/x%=500/198.42
(100/x)*x=(500/198.42)*x       - we multiply both sides of the equation by x
100=2.5199072674126*x       - we divide both sides of the equation by (2.5199072674126) to get x
100/2.5199072674126=x
39.684=x
x=39.684

now we have:
198.42 is 39.684% of 500