What is 35.38 percent of 6.4 - 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 6.4 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 6.4 is 100%, so we can write it down as 6.4=100%.
4. We know, that x is 35.38% of the output value, so we can write it down as x=35.38%.
5. Now we have two simple equations:
1) 6.4=100%
2) x=35.38%
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:
6.4/x=100%/35.38%
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 35.38% of 6.4

6.4/x=100/35.38
(6.4/x)*x=(100/35.38)*x       - we multiply both sides of the equation by x
6.4=2.8264556246467*x       - we divide both sides of the equation by (2.8264556246467) to get x
6.4/2.8264556246467=x
2.26432=x
x=2.26432

now we have:
35.38% of 6.4=2.26432