20 is what percent of 10851.16 - 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 10851.16 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 10851.16, so we can write it down as 100%=10851.16.
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%=10851.16
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%=10851.16/20
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 10851.16

100%/x%=10851.16/20
(100/x)*x=(10851.16/20)*x       - we multiply both sides of the equation by x
100=542.558*x       - we divide both sides of the equation by (542.558) to get x
100/542.558=x
0.18431209197911=x
x=0.18431209197911

now we have:
20 is 0.18431209197911% of 10851.16