0.2 is what percent of 81.9 - 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 81.9 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 81.9, so we can write it down as 100%=81.9.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=81.9
2) x%=0.2
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%=81.9/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 81.9

100%/x%=81.9/0.2
(100/x)*x=(81.9/0.2)*x       - we multiply both sides of the equation by x
100=409.5*x       - we divide both sides of the equation by (409.5) to get x
100/409.5=x
0.24420024420024=x
x=0.24420024420024

now we have:
0.2 is 0.24420024420024% of 81.9