44.79 is what percent of 107.5 - 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 107.5 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 107.5, so we can write it down as 100%=107.5.
4. We know, that x% equals 44.79 of the output value, so we can write it down as x%=44.79.
5. Now we have two simple equations:
1) 100%=107.5
2) x%=44.79
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%=107.5/44.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.79 is what percent of 107.5

100%/x%=107.5/44.79
(100/x)*x=(107.5/44.79)*x       - we multiply both sides of the equation by x
100=2.4000893056486*x       - we divide both sides of the equation by (2.4000893056486) to get x
100/2.4000893056486=x
41.66511627907=x
x=41.66511627907

now we have:
44.79 is 41.66511627907% of 107.5