6.78 is what percent of 18.33 - 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 18.33 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 18.33, so we can write it down as 100%=18.33.
4. We know, that x% equals 6.78 of the output value, so we can write it down as x%=6.78.
5. Now we have two simple equations:
1) 100%=18.33
2) x%=6.78
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%=18.33/6.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.78 is what percent of 18.33

100%/x%=18.33/6.78
(100/x)*x=(18.33/6.78)*x       - we multiply both sides of the equation by x
100=2.7035398230088*x       - we divide both sides of the equation by (2.7035398230088) to get x
100/2.7035398230088=x
36.988543371522=x
x=36.988543371522

now we have:
6.78 is 36.988543371522% of 18.33