330.85 is what percent of 2584.8 - 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 2584.8 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 2584.8, so we can write it down as 100%=2584.8.
4. We know, that x% equals 330.85 of the output value, so we can write it down as x%=330.85.
5. Now we have two simple equations:
1) 100%=2584.8
2) x%=330.85
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%=2584.8/330.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 330.85 is what percent of 2584.8

100%/x%=2584.8/330.85
(100/x)*x=(2584.8/330.85)*x       - we multiply both sides of the equation by x
100=7.8126038990479*x       - we divide both sides of the equation by (7.8126038990479) to get x
100/7.8126038990479=x
12.799829774064=x
x=12.799829774064

now we have:
330.85 is 12.799829774064% of 2584.8