48.64 is what percent of 184.8 - 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 184.8 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 184.8, so we can write it down as 100%=184.8.
4. We know, that x% equals 48.64 of the output value, so we can write it down as x%=48.64.
5. Now we have two simple equations:
1) 100%=184.8
2) x%=48.64
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%=184.8/48.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.64 is what percent of 184.8

100%/x%=184.8/48.64
(100/x)*x=(184.8/48.64)*x       - we multiply both sides of the equation by x
100=3.7993421052632*x       - we divide both sides of the equation by (3.7993421052632) to get x
100/3.7993421052632=x
26.320346320346=x
x=26.320346320346

now we have:
48.64 is 26.320346320346% of 184.8