415.75 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 415.75 of the output value, so we can write it down as x%=415.75.
5. Now we have two simple equations:
1) 100%=2000
2) x%=415.75
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%=2000/415.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.75 is what percent of 2000

100%/x%=2000/415.75
(100/x)*x=(2000/415.75)*x       - we multiply both sides of the equation by x
100=4.8105832832231*x       - we divide both sides of the equation by (4.8105832832231) to get x
100/4.8105832832231=x
20.7875=x
x=20.7875

now we have:
415.75 is 20.7875% of 2000