What is 14.577 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 14.577% of the output value, so we can write it down as x=14.577%.
5. Now we have two simple equations:
1) 13=100%
2) x=14.577%
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%/14.577%
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 14.577% of 13

13/x=100/14.577
(13/x)*x=(100/14.577)*x       - we multiply both sides of the equation by x
13=6.8601221101736*x       - we divide both sides of the equation by (6.8601221101736) to get x
13/6.8601221101736=x
1.89501=x
x=1.89501

now we have:
14.577% of 13=1.89501