7.77 is what percent of 39.6 - 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 39.6 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 39.6, so we can write it down as 100%=39.6.
4. We know, that x% equals 7.77 of the output value, so we can write it down as x%=7.77.
5. Now we have two simple equations:
1) 100%=39.6
2) x%=7.77
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%=39.6/7.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.77 is what percent of 39.6

100%/x%=39.6/7.77
(100/x)*x=(39.6/7.77)*x       - we multiply both sides of the equation by x
100=5.0965250965251*x       - we divide both sides of the equation by (5.0965250965251) to get x
100/5.0965250965251=x
19.621212121212=x
x=19.621212121212

now we have:
7.77 is 19.621212121212% of 39.6