What is 3.6 percent of 10.8 - 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 10.8 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 10.8 is 100%, so we can write it down as 10.8=100%.
4. We know, that x is 3.6% of the output value, so we can write it down as x=3.6%.
5. Now we have two simple equations:
1) 10.8=100%
2) x=3.6%
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:
10.8/x=100%/3.6%
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 3.6% of 10.8

10.8/x=100/3.6
(10.8/x)*x=(100/3.6)*x       - we multiply both sides of the equation by x
10.8=27.777777777778*x       - we divide both sides of the equation by (27.777777777778) to get x
10.8/27.777777777778=x
0.3888=x
x=0.3888

now we have:
3.6% of 10.8=0.3888