6.38 is what percent of 28.38 - 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 28.38 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 100% equals 28.38, so we can write it down as 100%=28.38.
4. We know, that x% equals 6.38 of the output value, so we can write it down as x%=6.38.
5. Now we have two simple equations:
1) 100%=28.38
2) x%=6.38
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:
100%/x%=28.38/6.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.38 is what percent of 28.38

100%/x%=28.38/6.38
(100/x)*x=(28.38/6.38)*x       - we multiply both sides of the equation by x
100=4.448275862069*x       - we divide both sides of the equation by (4.448275862069) to get x
100/4.448275862069=x
22.480620155039=x
x=22.480620155039

now we have:
6.38 is 22.480620155039% of 28.38