2986.68 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 2986.68 of the output value, so we can write it down as x%=2986.68.
5. Now we have two simple equations:
1) 100%=4000
2) x%=2986.68
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%=4000/2986.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2986.68 is what percent of 4000

100%/x%=4000/2986.68
(100/x)*x=(4000/2986.68)*x       - we multiply both sides of the equation by x
100=1.3392797353583*x       - we divide both sides of the equation by (1.3392797353583) to get x
100/1.3392797353583=x
74.667=x
x=74.667

now we have:
2986.68 is 74.667% of 4000