198.78 is what percent of 2318.42 - 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 2318.42 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 2318.42, so we can write it down as 100%=2318.42.
4. We know, that x% equals 198.78 of the output value, so we can write it down as x%=198.78.
5. Now we have two simple equations:
1) 100%=2318.42
2) x%=198.78
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%=2318.42/198.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.78 is what percent of 2318.42

100%/x%=2318.42/198.78
(100/x)*x=(2318.42/198.78)*x       - we multiply both sides of the equation by x
100=11.663245799376*x       - we divide both sides of the equation by (11.663245799376) to get x
100/11.663245799376=x
8.5739425988389=x
x=8.5739425988389

now we have:
198.78 is 8.5739425988389% of 2318.42