48.19 is what percent of 466.4 - 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 466.4 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 466.4, so we can write it down as 100%=466.4.
4. We know, that x% equals 48.19 of the output value, so we can write it down as x%=48.19.
5. Now we have two simple equations:
1) 100%=466.4
2) x%=48.19
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%=466.4/48.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.19 is what percent of 466.4

100%/x%=466.4/48.19
(100/x)*x=(466.4/48.19)*x       - we multiply both sides of the equation by x
100=9.6783565054991*x       - we divide both sides of the equation by (9.6783565054991) to get x
100/9.6783565054991=x
10.332332761578=x
x=10.332332761578

now we have:
48.19 is 10.332332761578% of 466.4