1.66 is what percent of 20.77 - 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 20.77 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 20.77, so we can write it down as 100%=20.77.
4. We know, that x% equals 1.66 of the output value, so we can write it down as x%=1.66.
5. Now we have two simple equations:
1) 100%=20.77
2) x%=1.66
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%=20.77/1.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.66 is what percent of 20.77

100%/x%=20.77/1.66
(100/x)*x=(20.77/1.66)*x       - we multiply both sides of the equation by x
100=12.512048192771*x       - we divide both sides of the equation by (12.512048192771) to get x
100/12.512048192771=x
7.9922965816081=x
x=7.9922965816081

now we have:
1.66 is 7.9922965816081% of 20.77