310.02 is what percent of 2583.54 - 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 2583.54 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 2583.54, so we can write it down as 100%=2583.54.
4. We know, that x% equals 310.02 of the output value, so we can write it down as x%=310.02.
5. Now we have two simple equations:
1) 100%=2583.54
2) x%=310.02
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%=2583.54/310.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.02 is what percent of 2583.54

100%/x%=2583.54/310.02
(100/x)*x=(2583.54/310.02)*x       - we multiply both sides of the equation by x
100=8.3334623572673*x       - we divide both sides of the equation by (8.3334623572673) to get x
100/8.3334623572673=x
11.999814208412=x
x=11.999814208412

now we have:
310.02 is 11.999814208412% of 2583.54