20.2 is what percent of 209.8 - 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 209.8 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 209.8, so we can write it down as 100%=209.8.
4. We know, that x% equals 20.2 of the output value, so we can write it down as x%=20.2.
5. Now we have two simple equations:
1) 100%=209.8
2) x%=20.2
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%=209.8/20.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.2 is what percent of 209.8

100%/x%=209.8/20.2
(100/x)*x=(209.8/20.2)*x       - we multiply both sides of the equation by x
100=10.386138613861*x       - we divide both sides of the equation by (10.386138613861) to get x
100/10.386138613861=x
9.628217349857=x
x=9.628217349857

now we have:
20.2 is 9.628217349857% of 209.8