263.24 is what percent of 2508.72 - 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 2508.72 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 2508.72, so we can write it down as 100%=2508.72.
4. We know, that x% equals 263.24 of the output value, so we can write it down as x%=263.24.
5. Now we have two simple equations:
1) 100%=2508.72
2) x%=263.24
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%=2508.72/263.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 263.24 is what percent of 2508.72

100%/x%=2508.72/263.24
(100/x)*x=(2508.72/263.24)*x       - we multiply both sides of the equation by x
100=9.5301625892721*x       - we divide both sides of the equation by (9.5301625892721) to get x
100/9.5301625892721=x
10.493000414554=x
x=10.493000414554

now we have:
263.24 is 10.493000414554% of 2508.72