What is 112.5 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 112.5% of the output value, so we can write it down as x=112.5%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=112.5%
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%/112.5%
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 112.5% of 7.5

7.5/x=100/112.5
(7.5/x)*x=(100/112.5)*x       - we multiply both sides of the equation by x
7.5=0.88888888888889*x       - we divide both sides of the equation by (0.88888888888889) to get x
7.5/0.88888888888889=x
8.4375=x
x=8.4375

now we have:
112.5% of 7.5=8.4375