77.78 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 77.78 of the output value, so we can write it down as x%=77.78.
5. Now we have two simple equations:
1) 100%=100
2) x%=77.78
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%=100/77.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.78 is what percent of 100

100%/x%=100/77.78
(100/x)*x=(100/77.78)*x       - we multiply both sides of the equation by x
100=1.2856775520699*x       - we divide both sides of the equation by (1.2856775520699) to get x
100/1.2856775520699=x
77.78=x
x=77.78

now we have:
77.78 is 77.78% of 100