1608.33 is what percent of 4000 - 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 4000 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 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 1608.33 of the output value, so we can write it down as x%=1608.33.
5. Now we have two simple equations:
1) 100%=4000
2) x%=1608.33
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%=4000/1608.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1608.33 is what percent of 4000

100%/x%=4000/1608.33
(100/x)*x=(4000/1608.33)*x       - we multiply both sides of the equation by x
100=2.4870517866358*x       - we divide both sides of the equation by (2.4870517866358) to get x
100/2.4870517866358=x
40.20825=x
x=40.20825

now we have:
1608.33 is 40.20825% of 4000