16.6 is what percent of 20.5 - 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 20.5 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 20.5, so we can write it down as 100%=20.5.
4. We know, that x% equals 16.6 of the output value, so we can write it down as x%=16.6.
5. Now we have two simple equations:
1) 100%=20.5
2) x%=16.6
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%=20.5/16.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.6 is what percent of 20.5

100%/x%=20.5/16.6
(100/x)*x=(20.5/16.6)*x       - we multiply both sides of the equation by x
100=1.2349397590361*x       - we divide both sides of the equation by (1.2349397590361) to get x
100/1.2349397590361=x
80.975609756098=x
x=80.975609756098

now we have:
16.6 is 80.975609756098% of 20.5