18.78 is what percent of 268.78 - 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 268.78 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 268.78, so we can write it down as 100%=268.78.
4. We know, that x% equals 18.78 of the output value, so we can write it down as x%=18.78.
5. Now we have two simple equations:
1) 100%=268.78
2) x%=18.78
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%=268.78/18.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.78 is what percent of 268.78

100%/x%=268.78/18.78
(100/x)*x=(268.78/18.78)*x       - we multiply both sides of the equation by x
100=14.312034078807*x       - we divide both sides of the equation by (14.312034078807) to get x
100/14.312034078807=x
6.9871270183793=x
x=6.9871270183793

now we have:
18.78 is 6.9871270183793% of 268.78