448.51 is what percent of 3088 - 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 3088 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 3088, so we can write it down as 100%=3088.
4. We know, that x% equals 448.51 of the output value, so we can write it down as x%=448.51.
5. Now we have two simple equations:
1) 100%=3088
2) x%=448.51
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%=3088/448.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.51 is what percent of 3088

100%/x%=3088/448.51
(100/x)*x=(3088/448.51)*x       - we multiply both sides of the equation by x
100=6.8850192860806*x       - we divide both sides of the equation by (6.8850192860806) to get x
100/6.8850192860806=x
14.524287564767=x
x=14.524287564767

now we have:
448.51 is 14.524287564767% of 3088