What is 68.55 percent of 11.52 - 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 11.52 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 11.52 is 100%, so we can write it down as 11.52=100%.
4. We know, that x is 68.55% of the output value, so we can write it down as x=68.55%.
5. Now we have two simple equations:
1) 11.52=100%
2) x=68.55%
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:
11.52/x=100%/68.55%
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 68.55% of 11.52

11.52/x=100/68.55
(11.52/x)*x=(100/68.55)*x       - we multiply both sides of the equation by x
11.52=1.4587892049599*x       - we divide both sides of the equation by (1.4587892049599) to get x
11.52/1.4587892049599=x
7.89696=x
x=7.89696

now we have:
68.55% of 11.52=7.89696