78.8 is what percent of 120.8 - 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 120.8 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 120.8, so we can write it down as 100%=120.8.
4. We know, that x% equals 78.8 of the output value, so we can write it down as x%=78.8.
5. Now we have two simple equations:
1) 100%=120.8
2) x%=78.8
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%=120.8/78.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.8 is what percent of 120.8

100%/x%=120.8/78.8
(100/x)*x=(120.8/78.8)*x       - we multiply both sides of the equation by x
100=1.5329949238579*x       - we divide both sides of the equation by (1.5329949238579) to get x
100/1.5329949238579=x
65.23178807947=x
x=65.23178807947

now we have:
78.8 is 65.23178807947% of 120.8