84.2 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 84.2 of the output value, so we can write it down as x%=84.2.
5. Now we have two simple equations:
1) 100%=2000
2) x%=84.2
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%=2000/84.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.2 is what percent of 2000

100%/x%=2000/84.2
(100/x)*x=(2000/84.2)*x       - we multiply both sides of the equation by x
100=23.75296912114*x       - we divide both sides of the equation by (23.75296912114) to get x
100/23.75296912114=x
4.21=x
x=4.21

now we have:
84.2 is 4.21% of 2000