What is 6.47058823529 percent of 5.5 - 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 5.5 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 5.5 is 100%, so we can write it down as 5.5=100%.
4. We know, that x is 6.47058823529% of the output value, so we can write it down as x=6.47058823529%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=6.47058823529%
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:
5.5/x=100%/6.47058823529%
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 6.47058823529% of 5.5

5.5/x=100/6.47058823529
(5.5/x)*x=(100/6.47058823529)*x       - we multiply both sides of the equation by x
5.5=15.454545454555*x       - we divide both sides of the equation by (15.454545454555) to get x
5.5/15.454545454555=x
0.35588235294095=x
x=0.35588235294095

now we have:
6.47058823529% of 5.5=0.35588235294095