What is 5.8 percent of 205.37 - 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 205.37 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 205.37 is 100%, so we can write it down as 205.37=100%.
4. We know, that x is 5.8% of the output value, so we can write it down as x=5.8%.
5. Now we have two simple equations:
1) 205.37=100%
2) x=5.8%
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:
205.37/x=100%/5.8%
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 5.8% of 205.37

205.37/x=100/5.8
(205.37/x)*x=(100/5.8)*x       - we multiply both sides of the equation by x
205.37=17.241379310345*x       - we divide both sides of the equation by (17.241379310345) to get x
205.37/17.241379310345=x
11.91146=x
x=11.91146

now we have:
5.8% of 205.37=11.91146