What is 46.2 percent of 13 - 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 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 is 100%, so we can write it down as 13=100%.
4. We know, that x is 46.2% of the output value, so we can write it down as x=46.2%.
5. Now we have two simple equations:
1) 13=100%
2) x=46.2%
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:
13/x=100%/46.2%
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 46.2% of 13

13/x=100/46.2
(13/x)*x=(100/46.2)*x       - we multiply both sides of the equation by x
13=2.1645021645022*x       - we divide both sides of the equation by (2.1645021645022) to get x
13/2.1645021645022=x
6.006=x
x=6.006

now we have:
46.2% of 13=6.006