20.12 is what percent of 20.41 - 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 20.41 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 20.41, so we can write it down as 100%=20.41.
4. We know, that x% equals 20.12 of the output value, so we can write it down as x%=20.12.
5. Now we have two simple equations:
1) 100%=20.41
2) x%=20.12
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%=20.41/20.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.12 is what percent of 20.41

100%/x%=20.41/20.12
(100/x)*x=(20.41/20.12)*x       - we multiply both sides of the equation by x
100=1.0144135188867*x       - we divide both sides of the equation by (1.0144135188867) to get x
100/1.0144135188867=x
98.579127878491=x
x=98.579127878491

now we have:
20.12 is 98.579127878491% of 20.41