0.8 is what percent of 20.9 - 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 20.9 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 20.9, so we can write it down as 100%=20.9.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=20.9
2) x%=0.8
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%=20.9/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 20.9

100%/x%=20.9/0.8
(100/x)*x=(20.9/0.8)*x       - we multiply both sides of the equation by x
100=26.125*x       - we divide both sides of the equation by (26.125) to get x
100/26.125=x
3.8277511961722=x
x=3.8277511961722

now we have:
0.8 is 3.8277511961722% of 20.9