20 is what percent of 20.1 - 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 20.1 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 20.1, so we can write it down as 100%=20.1.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=20.1
2) x%=20
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%=20.1/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 20.1

100%/x%=20.1/20
(100/x)*x=(20.1/20)*x       - we multiply both sides of the equation by x
100=1.005*x       - we divide both sides of the equation by (1.005) to get x
100/1.005=x
99.502487562189=x
x=99.502487562189

now we have:
20 is 99.502487562189% of 20.1