20.12 is what percent of 16.21 - 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 16.21 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 16.21, so we can write it down as 100%=16.21.
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%=16.21
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%=16.21/20.12
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 16.21

100%/x%=16.21/20.12
(100/x)*x=(16.21/20.12)*x       - we multiply both sides of the equation by x
100=0.80566600397614*x       - we divide both sides of the equation by (0.80566600397614) to get x
100/0.80566600397614=x
124.12091301666=x
x=124.12091301666

now we have:
20.12 is 124.12091301666% of 16.21