44.52 is what percent of 246.38 - 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 246.38 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 246.38, so we can write it down as 100%=246.38.
4. We know, that x% equals 44.52 of the output value, so we can write it down as x%=44.52.
5. Now we have two simple equations:
1) 100%=246.38
2) x%=44.52
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%=246.38/44.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.52 is what percent of 246.38

100%/x%=246.38/44.52
(100/x)*x=(246.38/44.52)*x       - we multiply both sides of the equation by x
100=5.5341419586703*x       - we divide both sides of the equation by (5.5341419586703) to get x
100/5.5341419586703=x
18.069648510431=x
x=18.069648510431

now we have:
44.52 is 18.069648510431% of 246.38