78.82 is what percent of 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 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 78.82 of the output value, so we can write it down as x%=78.82.
5. Now we have two simple equations:
1) 100%=75
2) x%=78.82
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%=75/78.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.82 is what percent of 75

100%/x%=75/78.82
(100/x)*x=(75/78.82)*x       - we multiply both sides of the equation by x
100=0.95153514336463*x       - we divide both sides of the equation by (0.95153514336463) to get x
100/0.95153514336463=x
105.09333333333=x
x=105.09333333333

now we have:
78.82 is 105.09333333333% of 75