1139.2 is what percent of 24000 - 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 24000 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 24000, so we can write it down as 100%=24000.
4. We know, that x% equals 1139.2 of the output value, so we can write it down as x%=1139.2.
5. Now we have two simple equations:
1) 100%=24000
2) x%=1139.2
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%=24000/1139.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1139.2 is what percent of 24000

100%/x%=24000/1139.2
(100/x)*x=(24000/1139.2)*x       - we multiply both sides of the equation by x
100=21.067415730337*x       - we divide both sides of the equation by (21.067415730337) to get x
100/21.067415730337=x
4.7466666666667=x
x=4.7466666666667

now we have:
1139.2 is 4.7466666666667% of 24000