44.8 is what percent of 63.2 - 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 63.2 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 63.2, so we can write it down as 100%=63.2.
4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.
5. Now we have two simple equations:
1) 100%=63.2
2) x%=44.8
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%=63.2/44.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 63.2

100%/x%=63.2/44.8
(100/x)*x=(63.2/44.8)*x       - we multiply both sides of the equation by x
100=1.41071428571*x       - we divide both sides of the equation by (1.41071428571) to get x
100/1.41071428571=x
70.8860759494=x
x=70.8860759494

now we have:
44.8 is 70.8860759494% of 63.2