What is 46.36 percent of 5.8 - 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 5.8 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 5.8 is 100%, so we can write it down as 5.8=100%.
4. We know, that x is 46.36% of the output value, so we can write it down as x=46.36%.
5. Now we have two simple equations:
1) 5.8=100%
2) x=46.36%
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:
5.8/x=100%/46.36%
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 46.36% of 5.8

5.8/x=100/46.36
(5.8/x)*x=(100/46.36)*x       - we multiply both sides of the equation by x
5.8=2.1570319240725*x       - we divide both sides of the equation by (2.1570319240725) to get x
5.8/2.1570319240725=x
2.68888=x
x=2.68888

now we have:
46.36% of 5.8=2.68888