4390.25 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 4390.25 of the output value, so we can write it down as x%=4390.25.
5. Now we have two simple equations:
1) 100%=4000
2) x%=4390.25
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%=4000/4390.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4390.25 is what percent of 4000

100%/x%=4000/4390.25
(100/x)*x=(4000/4390.25)*x       - we multiply both sides of the equation by x
100=0.91110984568077*x       - we divide both sides of the equation by (0.91110984568077) to get x
100/0.91110984568077=x
109.75625=x
x=109.75625

now we have:
4390.25 is 109.75625% of 4000