448.16 is what percent of 499 - 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 499 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 499, so we can write it down as 100%=499.
4. We know, that x% equals 448.16 of the output value, so we can write it down as x%=448.16.
5. Now we have two simple equations:
1) 100%=499
2) x%=448.16
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%=499/448.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.16 is what percent of 499

100%/x%=499/448.16
(100/x)*x=(499/448.16)*x       - we multiply both sides of the equation by x
100=1.11344162799*x       - we divide both sides of the equation by (1.11344162799) to get x
100/1.11344162799=x
89.811623246493=x
x=89.811623246493

now we have:
448.16 is 89.811623246493% of 499