403.85 is what percent of 448.75 - 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 448.75 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 448.75, so we can write it down as 100%=448.75.
4. We know, that x% equals 403.85 of the output value, so we can write it down as x%=403.85.
5. Now we have two simple equations:
1) 100%=448.75
2) x%=403.85
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%=448.75/403.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 403.85 is what percent of 448.75

100%/x%=448.75/403.85
(100/x)*x=(448.75/403.85)*x       - we multiply both sides of the equation by x
100=1.1111798935248*x       - we divide both sides of the equation by (1.1111798935248) to get x
100/1.1111798935248=x
89.994428969359=x
x=89.994428969359

now we have:
403.85 is 89.994428969359% of 448.75