0.66 is what percent of 13.66 - 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 13.66 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 13.66, so we can write it down as 100%=13.66.
4. We know, that x% equals 0.66 of the output value, so we can write it down as x%=0.66.
5. Now we have two simple equations:
1) 100%=13.66
2) x%=0.66
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%=13.66/0.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.66 is what percent of 13.66

100%/x%=13.66/0.66
(100/x)*x=(13.66/0.66)*x       - we multiply both sides of the equation by x
100=20.69696969697*x       - we divide both sides of the equation by (20.69696969697) to get x
100/20.69696969697=x
4.8316251830161=x
x=4.8316251830161

now we have:
0.66 is 4.8316251830161% of 13.66