What is 52.2 percent of 11.5 - 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 11.5 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 11.5 is 100%, so we can write it down as 11.5=100%.
4. We know, that x is 52.2% of the output value, so we can write it down as x=52.2%.
5. Now we have two simple equations:
1) 11.5=100%
2) x=52.2%
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:
11.5/x=100%/52.2%
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 52.2% of 11.5

11.5/x=100/52.2
(11.5/x)*x=(100/52.2)*x       - we multiply both sides of the equation by x
11.5=1.9157088122605*x       - we divide both sides of the equation by (1.9157088122605) to get x
11.5/1.9157088122605=x
6.003=x
x=6.003

now we have:
52.2% of 11.5=6.003