262.38 is what percent of 1084.8 - 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 1084.8 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 1084.8, so we can write it down as 100%=1084.8.
4. We know, that x% equals 262.38 of the output value, so we can write it down as x%=262.38.
5. Now we have two simple equations:
1) 100%=1084.8
2) x%=262.38
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%=1084.8/262.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.38 is what percent of 1084.8

100%/x%=1084.8/262.38
(100/x)*x=(1084.8/262.38)*x       - we multiply both sides of the equation by x
100=4.1344614680997*x       - we divide both sides of the equation by (4.1344614680997) to get x
100/4.1344614680997=x
24.186946902655=x
x=24.186946902655

now we have:
262.38 is 24.186946902655% of 1084.8