38.4 is what percent of 448 - 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 448 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 448, so we can write it down as 100%=448.
4. We know, that x% equals 38.4 of the output value, so we can write it down as x%=38.4.
5. Now we have two simple equations:
1) 100%=448
2) x%=38.4
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%=448/38.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.4 is what percent of 448

100%/x%=448/38.4
(100/x)*x=(448/38.4)*x       - we multiply both sides of the equation by x
100=11.666666666667*x       - we divide both sides of the equation by (11.666666666667) to get x
100/11.666666666667=x
8.5714285714286=x
x=8.5714285714286

now we have:
38.4 is 8.5714285714286% of 448