7.92 is what percent of 7.78 - 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 7.78 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 7.78, so we can write it down as 100%=7.78.
4. We know, that x% equals 7.92 of the output value, so we can write it down as x%=7.92.
5. Now we have two simple equations:
1) 100%=7.78
2) x%=7.92
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%=7.78/7.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.92 is what percent of 7.78

100%/x%=7.78/7.92
(100/x)*x=(7.78/7.92)*x       - we multiply both sides of the equation by x
100=0.98232323232323*x       - we divide both sides of the equation by (0.98232323232323) to get x
100/0.98232323232323=x
101.79948586118=x
x=101.79948586118

now we have:
7.92 is 101.79948586118% of 7.78