What is 115.2 percent of 7.2 - 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 7.2 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 7.2 is 100%, so we can write it down as 7.2=100%.
4. We know, that x is 115.2% of the output value, so we can write it down as x=115.2%.
5. Now we have two simple equations:
1) 7.2=100%
2) x=115.2%
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:
7.2/x=100%/115.2%
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 115.2% of 7.2

7.2/x=100/115.2
(7.2/x)*x=(100/115.2)*x       - we multiply both sides of the equation by x
7.2=0.86805555555556*x       - we divide both sides of the equation by (0.86805555555556) to get x
7.2/0.86805555555556=x
8.2944=x
x=8.2944

now we have:
115.2% of 7.2=8.2944