What is 6.58 percent of 35.47 - 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 35.47 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 35.47 is 100%, so we can write it down as 35.47=100%.
4. We know, that x is 6.58% of the output value, so we can write it down as x=6.58%.
5. Now we have two simple equations:
1) 35.47=100%
2) x=6.58%
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:
35.47/x=100%/6.58%
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 6.58% of 35.47

35.47/x=100/6.58
(35.47/x)*x=(100/6.58)*x       - we multiply both sides of the equation by x
35.47=15.197568389058*x       - we divide both sides of the equation by (15.197568389058) to get x
35.47/15.197568389058=x
2.333926=x
x=2.333926

now we have:
6.58% of 35.47=2.333926