21.46 is what percent of 389.12 - 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 389.12 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 389.12, so we can write it down as 100%=389.12.
4. We know, that x% equals 21.46 of the output value, so we can write it down as x%=21.46.
5. Now we have two simple equations:
1) 100%=389.12
2) x%=21.46
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%=389.12/21.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.46 is what percent of 389.12

100%/x%=389.12/21.46
(100/x)*x=(389.12/21.46)*x       - we multiply both sides of the equation by x
100=18.132339235788*x       - we divide both sides of the equation by (18.132339235788) to get x
100/18.132339235788=x
5.5150082236842=x
x=5.5150082236842

now we have:
21.46 is 5.5150082236842% of 389.12