44.69 is what percent of 183.42 - 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 183.42 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 183.42, so we can write it down as 100%=183.42.
4. We know, that x% equals 44.69 of the output value, so we can write it down as x%=44.69.
5. Now we have two simple equations:
1) 100%=183.42
2) x%=44.69
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%=183.42/44.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.69 is what percent of 183.42

100%/x%=183.42/44.69
(100/x)*x=(183.42/44.69)*x       - we multiply both sides of the equation by x
100=4.1042738867756*x       - we divide both sides of the equation by (4.1042738867756) to get x
100/4.1042738867756=x
24.364845709301=x
x=24.364845709301

now we have:
44.69 is 24.364845709301% of 183.42