1005.8 is what percent of 23500 - 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 23500 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 23500, so we can write it down as 100%=23500.
4. We know, that x% equals 1005.8 of the output value, so we can write it down as x%=1005.8.
5. Now we have two simple equations:
1) 100%=23500
2) x%=1005.8
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%=23500/1005.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1005.8 is what percent of 23500

100%/x%=23500/1005.8
(100/x)*x=(23500/1005.8)*x       - we multiply both sides of the equation by x
100=23.364485981308*x       - we divide both sides of the equation by (23.364485981308) to get x
100/23.364485981308=x
4.28=x
x=4.28

now we have:
1005.8 is 4.28% of 23500