21.27 is what percent of 20.01 - 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 20.01 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 20.01, so we can write it down as 100%=20.01.
4. We know, that x% equals 21.27 of the output value, so we can write it down as x%=21.27.
5. Now we have two simple equations:
1) 100%=20.01
2) x%=21.27
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%=20.01/21.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.27 is what percent of 20.01

100%/x%=20.01/21.27
(100/x)*x=(20.01/21.27)*x       - we multiply both sides of the equation by x
100=0.94076163610719*x       - we divide both sides of the equation by (0.94076163610719) to get x
100/0.94076163610719=x
106.29685157421=x
x=106.29685157421

now we have:
21.27 is 106.29685157421% of 20.01