6.6 is what percent of 209.6 - 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 209.6 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 209.6, so we can write it down as 100%=209.6.
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%=209.6
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%=209.6/6.6
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 209.6

100%/x%=209.6/6.6
(100/x)*x=(209.6/6.6)*x       - we multiply both sides of the equation by x
100=31.757575757576*x       - we divide both sides of the equation by (31.757575757576) to get x
100/31.757575757576=x
3.1488549618321=x
x=3.1488549618321

now we have:
6.6 is 3.1488549618321% of 209.6