3362.28 is what percent of 11.4 - 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 11.4 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 11.4, so we can write it down as 100%=11.4.
4. We know, that x% equals 3362.28 of the output value, so we can write it down as x%=3362.28.
5. Now we have two simple equations:
1) 100%=11.4
2) x%=3362.28
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%=11.4/3362.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3362.28 is what percent of 11.4

100%/x%=11.4/3362.28
(100/x)*x=(11.4/3362.28)*x       - we multiply both sides of the equation by x
100=0.0033905564081516*x       - we divide both sides of the equation by (0.0033905564081516) to get x
100/0.0033905564081516=x
29493.684210526=x
x=29493.684210526

now we have:
3362.28 is 29493.684210526% of 11.4