463.25 is what percent of 408 - 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 408 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 408, so we can write it down as 100%=408.
4. We know, that x% equals 463.25 of the output value, so we can write it down as x%=463.25.
5. Now we have two simple equations:
1) 100%=408
2) x%=463.25
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%=408/463.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.25 is what percent of 408

100%/x%=408/463.25
(100/x)*x=(408/463.25)*x       - we multiply both sides of the equation by x
100=0.88073394495413*x       - we divide both sides of the equation by (0.88073394495413) to get x
100/0.88073394495413=x
113.54166666667=x
x=113.54166666667

now we have:
463.25 is 113.54166666667% of 408