384.39 is what percent of 10802.27 - 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 10802.27 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 10802.27, so we can write it down as 100%=10802.27.
4. We know, that x% equals 384.39 of the output value, so we can write it down as x%=384.39.
5. Now we have two simple equations:
1) 100%=10802.27
2) x%=384.39
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%=10802.27/384.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.39 is what percent of 10802.27

100%/x%=10802.27/384.39
(100/x)*x=(10802.27/384.39)*x       - we multiply both sides of the equation by x
100=28.102369988813*x       - we divide both sides of the equation by (28.102369988813) to get x
100/28.102369988813=x
3.5584187397649=x
x=3.5584187397649

now we have:
384.39 is 3.5584187397649% of 10802.27