3775.55 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 3775.55 of the output value, so we can write it down as x%=3775.55.
5. Now we have two simple equations:
1) 100%=4000
2) x%=3775.55
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%=4000/3775.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3775.55 is what percent of 4000

100%/x%=4000/3775.55
(100/x)*x=(4000/3775.55)*x       - we multiply both sides of the equation by x
100=1.0594482923018*x       - we divide both sides of the equation by (1.0594482923018) to get x
100/1.0594482923018=x
94.38875=x
x=94.38875

now we have:
3775.55 is 94.38875% of 4000