39.78 is what percent of 168.18 - 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 168.18 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 168.18, so we can write it down as 100%=168.18.
4. We know, that x% equals 39.78 of the output value, so we can write it down as x%=39.78.
5. Now we have two simple equations:
1) 100%=168.18
2) x%=39.78
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%=168.18/39.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.78 is what percent of 168.18

100%/x%=168.18/39.78
(100/x)*x=(168.18/39.78)*x       - we multiply both sides of the equation by x
100=4.2277526395173*x       - we divide both sides of the equation by (4.2277526395173) to get x
100/4.2277526395173=x
23.653228683553=x
x=23.653228683553

now we have:
39.78 is 23.653228683553% of 168.18