6.6 is what percent of 29.8 - 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 29.8 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 29.8, so we can write it down as 100%=29.8.
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%=29.8
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%=29.8/6.6
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 29.8

100%/x%=29.8/6.6
(100/x)*x=(29.8/6.6)*x       - we multiply both sides of the equation by x
100=4.5151515151515*x       - we divide both sides of the equation by (4.5151515151515) to get x
100/4.5151515151515=x
22.147651006711=x
x=22.147651006711

now we have:
6.6 is 22.147651006711% of 29.8