20.2 is what percent of 18.6 - 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 18.6 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 18.6, so we can write it down as 100%=18.6.
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%=18.6
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%=18.6/20.2
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 18.6

100%/x%=18.6/20.2
(100/x)*x=(18.6/20.2)*x       - we multiply both sides of the equation by x
100=0.92079207920792*x       - we divide both sides of the equation by (0.92079207920792) to get x
100/0.92079207920792=x
108.60215053763=x
x=108.60215053763

now we have:
20.2 is 108.60215053763% of 18.6