821.9 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 821.9 of the output value, so we can write it down as x%=821.9.
5. Now we have two simple equations:
1) 100%=2000
2) x%=821.9
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%=2000/821.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 821.9 is what percent of 2000

100%/x%=2000/821.9
(100/x)*x=(2000/821.9)*x       - we multiply both sides of the equation by x
100=2.4333860566979*x       - we divide both sides of the equation by (2.4333860566979) to get x
100/2.4333860566979=x
41.095=x
x=41.095

now we have:
821.9 is 41.095% of 2000