75.8 is what percent of 78.8 - 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 78.8 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 78.8, so we can write it down as 100%=78.8.
4. We know, that x% equals 75.8 of the output value, so we can write it down as x%=75.8.
5. Now we have two simple equations:
1) 100%=78.8
2) x%=75.8
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%=78.8/75.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.8 is what percent of 78.8

100%/x%=78.8/75.8
(100/x)*x=(78.8/75.8)*x       - we multiply both sides of the equation by x
100=1.0395778364116*x       - we divide both sides of the equation by (1.0395778364116) to get x
100/1.0395778364116=x
96.192893401015=x
x=96.192893401015

now we have:
75.8 is 96.192893401015% of 78.8