6.6 is what percent of 28.77 - 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 28.77 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 28.77, so we can write it down as 100%=28.77.
4. We know, that x% equals 6.6 of the output value, so we can write it down as x%=6.6.
5. Now we have two simple equations:
1) 100%=28.77
2) x%=6.6
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%=28.77/6.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.6 is what percent of 28.77

100%/x%=28.77/6.6
(100/x)*x=(28.77/6.6)*x       - we multiply both sides of the equation by x
100=4.3590909090909*x       - we divide both sides of the equation by (4.3590909090909) to get x
100/4.3590909090909=x
22.940563086548=x
x=22.940563086548

now we have:
6.6 is 22.940563086548% of 28.77