38.3 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 38.3 of the output value, so we can write it down as x%=38.3.
5. Now we have two simple equations:
1) 100%=448
2) x%=38.3
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%=448/38.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.3 is what percent of 448

100%/x%=448/38.3
(100/x)*x=(448/38.3)*x       - we multiply both sides of the equation by x
100=11.697127937337*x       - we divide both sides of the equation by (11.697127937337) to get x
100/11.697127937337=x
8.5491071428571=x
x=8.5491071428571

now we have:
38.3 is 8.5491071428571% of 448