44.83 is what percent of 330 - 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 330 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 330, so we can write it down as 100%=330.
4. We know, that x% equals 44.83 of the output value, so we can write it down as x%=44.83.
5. Now we have two simple equations:
1) 100%=330
2) x%=44.83
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%=330/44.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.83 is what percent of 330

100%/x%=330/44.83
(100/x)*x=(330/44.83)*x       - we multiply both sides of the equation by x
100=7.3611420923489*x       - we divide both sides of the equation by (7.3611420923489) to get x
100/7.3611420923489=x
13.584848484848=x
x=13.584848484848

now we have:
44.83 is 13.584848484848% of 330