3353.24 is what percent of 38400 - 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 38400 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 38400, so we can write it down as 100%=38400.
4. We know, that x% equals 3353.24 of the output value, so we can write it down as x%=3353.24.
5. Now we have two simple equations:
1) 100%=38400
2) x%=3353.24
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%=38400/3353.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3353.24 is what percent of 38400

100%/x%=38400/3353.24
(100/x)*x=(38400/3353.24)*x       - we multiply both sides of the equation by x
100=11.451610979232*x       - we divide both sides of the equation by (11.451610979232) to get x
100/11.451610979232=x
8.7323958333333=x
x=8.7323958333333

now we have:
3353.24 is 8.7323958333333% of 38400