12 is what percent of 21.853 - 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 21.853 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 21.853, so we can write it down as 100%=21.853.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=21.853
2) x%=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%=21.853/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 21.853

100%/x%=21.853/12
(100/x)*x=(21.853/12)*x       - we multiply both sides of the equation by x
100=1.8210833333333*x       - we divide both sides of the equation by (1.8210833333333) to get x
100/1.8210833333333=x
54.91236901112=x
x=54.91236901112

now we have:
12 is 54.91236901112% of 21.853