1155.2 is what percent of 2624 - 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 2624 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 2624, so we can write it down as 100%=2624.
4. We know, that x% equals 1155.2 of the output value, so we can write it down as x%=1155.2.
5. Now we have two simple equations:
1) 100%=2624
2) x%=1155.2
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%=2624/1155.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1155.2 is what percent of 2624

100%/x%=2624/1155.2
(100/x)*x=(2624/1155.2)*x       - we multiply both sides of the equation by x
100=2.2714681440443*x       - we divide both sides of the equation by (2.2714681440443) to get x
100/2.2714681440443=x
44.024390243902=x
x=44.024390243902

now we have:
1155.2 is 44.024390243902% of 2624