20.23 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 20.23 of the output value, so we can write it down as x%=20.23.
5. Now we have two simple equations:
1) 100%=1000
2) x%=20.23
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%=1000/20.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.23 is what percent of 1000

100%/x%=1000/20.23
(100/x)*x=(1000/20.23)*x       - we multiply both sides of the equation by x
100=49.431537320811*x       - we divide both sides of the equation by (49.431537320811) to get x
100/49.431537320811=x
2.023=x
x=2.023

now we have:
20.23 is 2.023% of 1000