48 is what percent of 43.92 - 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 43.92 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 43.92, so we can write it down as 100%=43.92.
4. We know, that x% equals 48 of the output value, so we can write it down as x%=48.
5. Now we have two simple equations:
1) 100%=43.92
2) x%=48
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%=43.92/48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48 is what percent of 43.92

100%/x%=43.92/48
(100/x)*x=(43.92/48)*x       - we multiply both sides of the equation by x
100=0.915*x       - we divide both sides of the equation by (0.915) to get x
100/0.915=x
109.28961748634=x
x=109.28961748634

now we have:
48 is 109.28961748634% of 43.92