What is 12.225 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 12.225% of the output value, so we can write it down as x=12.225%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=12.225%
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%/12.225%
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 12.225% of 7.5

7.5/x=100/12.225
(7.5/x)*x=(100/12.225)*x       - we multiply both sides of the equation by x
7.5=8.1799591002045*x       - we divide both sides of the equation by (8.1799591002045) to get x
7.5/8.1799591002045=x
0.916875=x
x=0.916875

now we have:
12.225% of 7.5=0.916875