288.09 is what percent of 4400 - 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 4400 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 4400, so we can write it down as 100%=4400.
4. We know, that x% equals 288.09 of the output value, so we can write it down as x%=288.09.
5. Now we have two simple equations:
1) 100%=4400
2) x%=288.09
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%=4400/288.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.09 is what percent of 4400

100%/x%=4400/288.09
(100/x)*x=(4400/288.09)*x       - we multiply both sides of the equation by x
100=15.273004963727*x       - we divide both sides of the equation by (15.273004963727) to get x
100/15.273004963727=x
6.5475=x
x=6.5475

now we have:
288.09 is 6.5475% of 4400