33.9 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 33.9 of the output value, so we can write it down as x%=33.9.
5. Now we have two simple equations:
1) 100%=448
2) x%=33.9
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%=448/33.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.9 is what percent of 448

100%/x%=448/33.9
(100/x)*x=(448/33.9)*x       - we multiply both sides of the equation by x
100=13.215339233038*x       - we divide both sides of the equation by (13.215339233038) to get x
100/13.215339233038=x
7.5669642857143=x
x=7.5669642857143

now we have:
33.9 is 7.5669642857143% of 448