2904.75 is what percent of 12300 - 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 12300 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 12300, so we can write it down as 100%=12300.
4. We know, that x% equals 2904.75 of the output value, so we can write it down as x%=2904.75.
5. Now we have two simple equations:
1) 100%=12300
2) x%=2904.75
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%=12300/2904.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2904.75 is what percent of 12300

100%/x%=12300/2904.75
(100/x)*x=(12300/2904.75)*x       - we multiply both sides of the equation by x
100=4.2344435837852*x       - we divide both sides of the equation by (4.2344435837852) to get x
100/4.2344435837852=x
23.615853658537=x
x=23.615853658537

now we have:
2904.75 is 23.615853658537% of 12300