What is 79.83870968 percent of 7.5 - 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 7.5 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 7.5 is 100%, so we can write it down as 7.5=100%.
4. We know, that x is 79.83870968% of the output value, so we can write it down as x=79.83870968%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=79.83870968%
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:
7.5/x=100%/79.83870968%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 79.83870968% of 7.5

7.5/x=100/79.83870968
(7.5/x)*x=(100/79.83870968)*x       - we multiply both sides of the equation by x
7.5=1.2525252524848*x       - we divide both sides of the equation by (1.2525252524848) to get x
7.5/1.2525252524848=x
5.987903226=x
x=5.987903226

now we have:
79.83870968% of 7.5=5.987903226