76.8 is what percent of 48.5 - 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 48.5 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 48.5, so we can write it down as 100%=48.5.
4. We know, that x% equals 76.8 of the output value, so we can write it down as x%=76.8.
5. Now we have two simple equations:
1) 100%=48.5
2) x%=76.8
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%=48.5/76.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.8 is what percent of 48.5

100%/x%=48.5/76.8
(100/x)*x=(48.5/76.8)*x       - we multiply both sides of the equation by x
100=0.63151041666667*x       - we divide both sides of the equation by (0.63151041666667) to get x
100/0.63151041666667=x
158.35051546392=x
x=158.35051546392

now we have:
76.8 is 158.35051546392% of 48.5