832.84 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 832.84 of the output value, so we can write it down as x%=832.84.
5. Now we have two simple equations:
1) 100%=4000
2) x%=832.84
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%=4000/832.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 832.84 is what percent of 4000

100%/x%=4000/832.84
(100/x)*x=(4000/832.84)*x       - we multiply both sides of the equation by x
100=4.8028432832237*x       - we divide both sides of the equation by (4.8028432832237) to get x
100/4.8028432832237=x
20.821=x
x=20.821

now we have:
832.84 is 20.821% of 4000