44.91 is what percent of 389.984 - 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 389.984 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 389.984, so we can write it down as 100%=389.984.
4. We know, that x% equals 44.91 of the output value, so we can write it down as x%=44.91.
5. Now we have two simple equations:
1) 100%=389.984
2) x%=44.91
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%=389.984/44.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.91 is what percent of 389.984

100%/x%=389.984/44.91
(100/x)*x=(389.984/44.91)*x       - we multiply both sides of the equation by x
100=8.6836784680472*x       - we divide both sides of the equation by (8.6836784680472) to get x
100/8.6836784680472=x
11.515857060802=x
x=11.515857060802

now we have:
44.91 is 11.515857060802% of 389.984