6.15 is what percent of 78.78 - 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 78.78 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 78.78, so we can write it down as 100%=78.78.
4. We know, that x% equals 6.15 of the output value, so we can write it down as x%=6.15.
5. Now we have two simple equations:
1) 100%=78.78
2) x%=6.15
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%=78.78/6.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.15 is what percent of 78.78

100%/x%=78.78/6.15
(100/x)*x=(78.78/6.15)*x       - we multiply both sides of the equation by x
100=12.809756097561*x       - we divide both sides of the equation by (12.809756097561) to get x
100/12.809756097561=x
7.8065498857578=x
x=7.8065498857578

now we have:
6.15 is 7.8065498857578% of 78.78