78.19 is what percent of 96.75 - 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 96.75 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 96.75, so we can write it down as 100%=96.75.
4. We know, that x% equals 78.19 of the output value, so we can write it down as x%=78.19.
5. Now we have two simple equations:
1) 100%=96.75
2) x%=78.19
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%=96.75/78.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.19 is what percent of 96.75

100%/x%=96.75/78.19
(100/x)*x=(96.75/78.19)*x       - we multiply both sides of the equation by x
100=1.2373705077376*x       - we divide both sides of the equation by (1.2373705077376) to get x
100/1.2373705077376=x
80.8165374677=x
x=80.8165374677

now we have:
78.19 is 80.8165374677% of 96.75