48.35 is what percent of 439.57 - 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 439.57 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 439.57, so we can write it down as 100%=439.57.
4. We know, that x% equals 48.35 of the output value, so we can write it down as x%=48.35.
5. Now we have two simple equations:
1) 100%=439.57
2) x%=48.35
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%=439.57/48.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.35 is what percent of 439.57

100%/x%=439.57/48.35
(100/x)*x=(439.57/48.35)*x       - we multiply both sides of the equation by x
100=9.0914167528438*x       - we divide both sides of the equation by (9.0914167528438) to get x
100/9.0914167528438=x
10.99938576336=x
x=10.99938576336

now we have:
48.35 is 10.99938576336% of 439.57