What is 114.75 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 114.75% of the output value, so we can write it down as x=114.75%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=114.75%
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%/114.75%
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 114.75% of 7.5

7.5/x=100/114.75
(7.5/x)*x=(100/114.75)*x       - we multiply both sides of the equation by x
7.5=0.87145969498911*x       - we divide both sides of the equation by (0.87145969498911) to get x
7.5/0.87145969498911=x
8.60625=x
x=8.60625

now we have:
114.75% of 7.5=8.60625