What is 19.47 percent of 11.8 - 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 11.8 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 11.8 is 100%, so we can write it down as 11.8=100%.
4. We know, that x is 19.47% of the output value, so we can write it down as x=19.47%.
5. Now we have two simple equations:
1) 11.8=100%
2) x=19.47%
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:
11.8/x=100%/19.47%
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 19.47% of 11.8

11.8/x=100/19.47
(11.8/x)*x=(100/19.47)*x       - we multiply both sides of the equation by x
11.8=5.1361068310221*x       - we divide both sides of the equation by (5.1361068310221) to get x
11.8/5.1361068310221=x
2.29746=x
x=2.29746

now we have:
19.47% of 11.8=2.29746