23 is what percent of 2569 - 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 2569 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 2569, so we can write it down as 100%=2569.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=2569
2) x%=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%=2569/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 2569

100%/x%=2569/23
(100/x)*x=(2569/23)*x       - we multiply both sides of the equation by x
100=111.69565217391*x       - we divide both sides of the equation by (111.69565217391) to get x
100/111.69565217391=x
0.89528999610743=x
x=0.89528999610743

now we have:
23 is 0.89528999610743% of 2569