6 is what percent of 8.16 - 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 8.16 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 8.16, so we can write it down as 100%=8.16.
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%=8.16
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%=8.16/6
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 8.16

100%/x%=8.16/6
(100/x)*x=(8.16/6)*x       - we multiply both sides of the equation by x
100=1.36*x       - we divide both sides of the equation by (1.36) to get x
100/1.36=x
73.529411764706=x
x=73.529411764706

now we have:
6 is 73.529411764706% of 8.16