6 is what percent of 6.396 - 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 6.396 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 6.396, so we can write it down as 100%=6.396.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=6.396
2) x%=6
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%=6.396/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 6.396

100%/x%=6.396/6
(100/x)*x=(6.396/6)*x       - we multiply both sides of the equation by x
100=1.066*x       - we divide both sides of the equation by (1.066) to get x
100/1.066=x
93.808630393996=x
x=93.808630393996

now we have:
6 is 93.808630393996% of 6.396