145.5 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 145.5 of the output value, so we can write it down as x%=145.5.
5. Now we have two simple equations:
1) 100%=448
2) x%=145.5
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%=448/145.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.5 is what percent of 448

100%/x%=448/145.5
(100/x)*x=(448/145.5)*x       - we multiply both sides of the equation by x
100=3.0790378006873*x       - we divide both sides of the equation by (3.0790378006873) to get x
100/3.0790378006873=x
32.477678571429=x
x=32.477678571429

now we have:
145.5 is 32.477678571429% of 448