What is 47 percent of 13.16 - 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 13.16 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 13.16 is 100%, so we can write it down as 13.16=100%.
4. We know, that x is 47% of the output value, so we can write it down as x=47%.
5. Now we have two simple equations:
1) 13.16=100%
2) x=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:
13.16/x=100%/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 47% of 13.16

13.16/x=100/47
(13.16/x)*x=(100/47)*x       - we multiply both sides of the equation by x
13.16=2.12765957447*x       - we divide both sides of the equation by (2.12765957447) to get x
13.16/2.12765957447=x
6.1852=x
x=6.1852

now we have:
47% of 13.16=6.1852