6.6 is what percent of 55.69 - 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 55.69 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 55.69, so we can write it down as 100%=55.69.
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%=55.69
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%=55.69/6.6
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 55.69

100%/x%=55.69/6.6
(100/x)*x=(55.69/6.6)*x       - we multiply both sides of the equation by x
100=8.4378787878788*x       - we divide both sides of the equation by (8.4378787878788) to get x
100/8.4378787878788=x
11.851319806069=x
x=11.851319806069

now we have:
6.6 is 11.851319806069% of 55.69